info@viam.science.tsu.ge (+995 32) 2 30 30 40 (+995 32) 2 18 66 45

Gogi Pantsulaia

  • Office: University str.11, 0186 Tbilisi, Georgia
  • Phone:
  • E-mail: gogi_pantsulaia@hotmail.com
  • Research fields:

Summary

Projects

Talks

  • On a certain version of Erdos problem, by Gogi Pantsulaia (Speaker), Nino Rusiashvili at Georgian Mathematical Union IV International Conference, Batumi, Georgia, 09-15 September, 2013.
  • On a certain problem of H. Shi in Solovay's model , by Gogi Pantsulaia (Speaker) at II International Conference on Modern Problems in Applied Mathematics, Tbilisi, Georgia, 04-07 September, 2013.
  • On consistent estimators of a useful signal in the linear onedimensional stochastic model when an expectation of the transformed signal does not exist. , by Gogi Pantsulaia (Speaker), Zurab Zerakidze, Gimzer Saatashvili at The First Conference in Exact and Natural Sciences, Tbilisi, Georgia, 22-26 January, 2013.

Publications

  • Gogi Pantsulaia, Applications of Measure Theory to Statistics, Springer International Publishing, Springer International Publishing, 2016. https://link.springer.com/book/10.1007/978-3-319-45578-5
  • Gogi Pantsulaia, THE PROOF OF A CERTAIN VERSION OF KOLMOGOROV STRONG LAW OF LARGE NUMBERS, , , 2016. https://www.researchgate.net/publication/289687531_THE_PROOF_OF_A_CERTAIN_VERSION_OF_KOLMOGOROV_STRONG_LAW_OF_LARGE_NUMBERS
  • Gogi Pantsulaia, Infinite-Dimensional Monte Carlo Integration, Applications of Measure Theory to Statistics, 19-46, Springer, 2016. https://link.springer.com/book/10.1007/978-3-319-45578-5
  • Gogi Pantsulaia, Calculation of Improper Integrals by Using Uniformly Distributed Sequences, Applications of Measure Theory to Statistics, 1-18, Springer, 2016. https://link.springer.com/book/10.1007/978-3-319-45578-5
  • Gogi Pantsulaia, Objective and Strong Objective Consistent Estimates of Unknown Parameters for Statistical Structures in a Polish Group Admitting an Invariant Metric, Applications of Measure Theory to Statistics, 73-106, Springer, 2016. https://link.springer.com/book/10.1007/978-3-319-45578-5
  • Gogi Pantsulaia, Structure of All Real-Valued Sequences Uniformly Distributed in from the Point of View of Shyness, Applications of Measure Theory to Statistics, 47-56, Springer, 2016. https://link.springer.com/book/10.1007/978-3-319-45578-5
  • Gogi Pantsulaia, Why Null Hypothesis Is Rejected for Almost Every Infinite Sample by the Hypothesis Testing of a Maximal Reliability, Applications of Measure Theory to Statistics, 107-118, Springer, 2016. https://www.researchgate.net/publication/264708360_WHY_IS_THE_NULL_HYPOTHESIS_REJECTED_FOR_ALMOST_EVERY_INFINITE_SAMPLE_BY_SOME_HYPOTHESIS_TESTING_OF_MAXIMAL_RELIABILITY
  • Gogi Pantsulaia, On Moore–Yamasaki–Kharazishvili Type Measures and the Infinite Powers of Borel Diffused Probability Measures on R, Applications of Measure Theory to Statistics, 57-71, Springer, 2016. https://link.springer.com/book/10.1007/978-3-319-45578-5
  • Gogi Pantsulaia, Zurab Kvatadze, L Labadze, On a consistent estimator of a useful signal in Ornstein-Uhlenbeck model in , arXiv preprint arXiv:1612.03904, Arxiv, 2016. https://arxiv.org/abs/1612.03904
  • Gogi Pantsulaia, Tengiz Kiria, Calculation of Lebesgue integrals by using uniformly distributed sequences, Transactions of A. Razmadze Mathematical Institute 170 (3), 402-409, A. Razmadze Mathematical Institute, 2016. https://www.sciencedirect.com/science/article/pii/S2346809216300034
  • L Labadze, Gimzer Saatashvili, Gogi Pantsulaia, Infinite-sample consistent estimations of parameters of the Wiener process with drift, arXiv preprint arXiv:1611.01119, Arxiv, 2016. https://arxiv.org/abs/1611.01119
  • L Labadze, Gogi Pantsulaia, Estimation of the parameters of the Ornstein-Uhlenbeck's stochastic process, arXiv preprint arXiv:1608.04507, Arxiv, 2016. http://science.org.ge/bnas/t10-n4/02-Labadze.pdf
  • Gogi Pantsulaia, Givi Giorgadze, Representation of the Dirac delta function in in terms of infinite-dimensional Lebesgue measures, arXiv preprint arXiv:1605.02723, Arxiv, 2016. https://arxiv.org/abs/1605.02723
  • Aleks Petre Kirtadze, Gogi Pantsulaia, Nino Rusiashvili, On uniform distribution for invariant extensions of the linear Lebesgue measure, arXiv preprint arXiv:1603.04472, Arxiv, 2016. https://arxiv.org/abs/1603.04472
  • Gogi Pantsulaia, Givi Giorgadze, Satisfaction Problem of Consumers Demands measured by ordinary "Lebesgue measures" in R∞, arXiv preprint arXiv:1510.06251, Arxiv, 2015. https://arxiv.org/abs/1510.06251
  • Gogi Pantsulaia, Khatuna Elbakidze, Givi Giorgadze, On a linear non-homogeneous ordinary differential equation of the higher order whose coefficients are real-valued simple step functions, arXiv:1505.06247 [math.CA], Arxiv, 2015. https://doi.org/10.48550/arXiv.1505.0624
  • Gogi Pantsulaia, Tengiz Kiria, ON STATISTICAL STRUCTURES IN A POLISH NON-LOCALLY-COMPACT GROUP ADMITTING AN INVARIANT METRIC, PROCEEDINGS OF A RAZMADZE MATHEMATICAL INSTITUTE 168, 117-127, Elsevier BV, 2015. http://rmi.tsu.ge/proceedings/volumes/pdf/v168-10.pdf
  • Gogi Pantsulaia, CONSTRUCTION OF INVARIANT NON-SEPARABLE EXTENSIONS OF THE MEASURE DEFINED BY H-VALUED MEASURABLE G-PROCESS ON HG, Palestine Journal of Mathematics 4 (2), Palestine Polytechnic University, 2015. https://pjm.ppu.edu/sites/default/files/papers/3%20%20SAMPLE%20%28G.Pantsulaia-Georgia%29.pdf
  • Gogi Pantsulaia, M Kintsurashvili, On some applications of Haar ambivalents in mathematical statistics, The 43rd Winter School in Abstract Analysis, , 2015. https://www.researchgate.net/publication/270794954_On_some_applications_of_Haar_ambivalents_in_mathematical_statistics
  • Gogi Pantsulaia, Under Collatz conjecture the Collatz mapping has no an asymptotic mixing property , arXiv preprint arXiv:1502.05602, Arxiv, 2015. https://arxiv.org/abs/1502.05602
  • M Kintsurashvili, Tengiz Kiria, Gogi Pantsulaia, On objective and strong objective consistent estimates of unknown parameters for statistical structures in a Polish group admitting an invariant metric, arXiv preprint arXiv:1502.07463, Arxiv, 2015. https://arxiv.org/abs/1502.07463
  • Gogi Pantsulaia, Givi Giorgadze, On a linear partial differential equation of the higher order in two variables with initial condition whose coefficients are real-valued simple step functions, arXiv preprint arXiv:1505.00896, Arxiv, 2015. https://arxiv.org/abs/1505.00896
  • Tengiz Kiria, Gogi Pantsulaia, M Kintsurashvili, On Moore-Yamasaki-Kharazishvili type measures and the infinite powers of Borel diffused probability measures on ${\bf R}, arXiv preprint arXiv:1506.02935, Arxiv, 2015. https://www.researchgate.net/publication/278048720_On_Moore-Yamasaki-Kharazishvili_type_measures_and_the_infinite_powers_of_Borel_diffused_probability_measures_on_bf_R
  • Gogi Pantsulaia, Solovay model and duality principle between the measure and the Baire category in a Polish topological vector space , arXiv preprint arXiv:1505.06665, Arxiv, 2015. https://arxiv.org/abs/1505.06665
  • Gogi Pantsulaia, A short proof of a certain version of Kolmogorov strong law of large numbers, arXiv preprint arXiv:1506.04453, Arxiv, 2015. https://arxiv.org/abs/1506.04453
  • Gogi Pantsulaia, On structure of uniformly distributed sequences in from the point of view of shyness, arXiv preprint arXiv:1506.07009, Arxiv, 2015. https://arxiv.org/abs/1506.07009
  • Gogi Pantsulaia, Is an arbitrary diffused Borel probability measure in a Polish space without isolated points Haar measure?, arXiv preprint arXiv:1508.01751, Arxiv, 2015. https://arxiv.org/abs/1508.01751
  • Gogi Pantsulaia, M Kintsurashvili, Why is Null Hypothesis rejected for” almost every” infinite sample by some Hypothesis Testing of maximal reliability, Journal of Statistics: Advances in Theory and Applications 11 (1), 45-70, Scientific Advances Publishers , 2014. https://www.researchgate.net/publication/264708360_WHY_IS_THE_NULL_HYPOTHESIS_REJECTED_FOR_ALMOST_EVERY_INFINITE_SAMPLE_BY_SOME_HYPOTHESIS_TESTING_OF_MAXIMAL_RELIABILITY
  • Gogi Pantsulaia, M Kintsurashvili, AN OBJECTIVE INFINITE SAMPLE WELL-FOUNDED ESTIMATE OF A USEFUL SIGNAL IN THE LINEAR ONE-DIMENSIONAL STOCHASTIC MODEL, Rep. Enlarged Sess. Semin. I. Vekua Appl. Math 28, 90-93, VIAM, 2014. http://www.viam.science.tsu.ge/enl_ses/vol28/pantsulaia(c).pdf
  • Tepper Gill, Aleks Petre Kirtadze, Gogi Pantsulaia, A Plichko, Existence and uniqueness of translation invariant measures in separable Banach spaces, Functiones et Approximatio Commentarii Mathematici 50 (2), 401-419, Adam Mickiewicz University Press, Adam Mickiewicz University, 2014. https://www.researchgate.net/publication/264722919_Existence_and_uniqueness_of_translation_invariant_measures_in_separable_banach_spaces
  • Gogi Pantsulaia, M Kintsurashvili, An effective construction of the strong objective infinite sample well-founded estimate, Proc. A. Razmadze Math. Ins 166, 113-119, A. Razmadze Mathematical Institute (Georgia), 2014. https://www.researchgate.net/publication/289670833_monograpia_mkintsurashvili
  • Gogi Pantsulaia, ON STRANGE NULL SETS IN SOME VECTOR SPACES, Georgian International Journal of Science, Technology and Medicine 6 (1), 41, Hauppauge, NY : Nova Science Publishers, 2014. https://ocul-gue.primo.exlibrisgroup.com/discovery/fulldisplay?docid=cdi_proquest_journals_1634011157&context=PC&vid=01OCUL_GUE:GUELPH&lang=en&adaptor=Primo%20Central&tab=Everything&query=null,,New%20
  • Gogi Pantsulaia, Givi Giorgadze, ON A REPRESENTATION OF THE SOLUTION OF A CERTAIN GENERALIZED HEAT EQUATION OF MANY VARIABLES IN A MULTIPLE TRIGONOMETRIC SERIES, Georgian International Journal of Science, Technology and Medicine 6 (2), 133, Hauppauge, NY : Nova Science Publishers, 2014. https://www.researchgate.net/publication/264724669_ON_A_REPRESENTATION_OF_THE_SOLUTION_OF_A_CERTAIN_GENERALIZED_HEAT_EQUATION_OF_MANY_VARIABLES_IN_A_MULTIPLE_TRIGONOMETRIC_SERIES
  • Gogi Pantsulaia, ON MAXIMAL PLANE SETS CONTAINING ONLY THE VERTICES OF A TRIANGLE WITH AREA LESS THAN ONE, Georgian International Journal of Science, Technology and Medicine 6 (2), 113, Hauppauge, NY : Nova Science Publishers, 2014. https://www.researchgate.net/publication/264725220_On_Maximal_Plane_Sets_Containing_Only_the_Vertices_of_a_Triangle_with_Area_Less_Than_One
  • Gogi Pantsulaia, Aleks Petre Kirtadze, ON A CERTAIN MODIFICATION OF P. ERDÖS PROBLEM FOR TRANSLATION-INVARIANT QUASI-FINITE DIFFUSED BOREL MEASURES IN POLISH GROUPS THAT ARE NOT LOCALLY COMPACT, Georgian International Journal of Science, Technology and Medicine 6 (2), 119, Hauppauge, NY : Nova Science Publishers, 2014. https://www.proquest.com/docview/1629646853
  • Gogi Pantsulaia, Tepper Gill, Givi Giorgadze, On a heat equation in an infinite-dimensional separable Banach space with Schauder basis, Georgian International Journal of Science, Technology and Medicine 6 (2), 149, Hauppauge, NY : Nova Science Publishers, 2014. https://www.researchgate.net/publication/264724468_ON_A_HEAT_EQUATION_IN_AN_INFINITE-DIMENSIONAL_SEPARABLE_BANACH_SPACE_WITH_SCHAUDER_BASIS
  • Gogi Pantsulaia, Aleks Petre Kirtadze, ON WITSENHAUSEN-KALAI CONSTANTS FOR INFINITE-DIMENSIONAL SURFACE DYNAMICAL MEASURES, Georgian International Journal of Science, Technology and Medicine 6 (2), 167, Hauppauge, NY : Nova Science Publishers, 2014.
  • Gogi Pantsulaia, A Classification OF NON-MEASURABLE REAL-VALUED FUNCTIONS DEFINED ON A METRIC SPACE, Georgian International Journal of Science, Technology and Medicine 6 (3), 249, Hauppauge, NY : Nova Science Publishers, 2014. https://www.researchgate.net/publication/264724957_A_CLASSIFICATION_OF_NON-MEASURABLE_REAL-VALUED_FUNCTIONS_DEFINED_ON_A_METRIC_SPACE
  • Gogi Pantsulaia, Nino Rusiashvili, On a certain version of the Erdös problem, Georgian International Journal of Science, Technology and Medicine 6 (3), 257, Hauppauge, NY : Nova Science Publishers, 2014. http://www.viam.science.tsu.ge/others/ticmi/pantsulaia.pdf
  • Gogi Pantsulaia, Givi Giorgadze, A DESCRIPTION OF THE BEHAVIOR OF SOME PHASE MOTIONS IN TERMS OF ORDINARY AND STANDARD" LEBESGUE MEASURES" IN R [infinity], Georgian International Journal of Science, Technology and Medicine 6 (4), 285, Hauppauge, NY : Nova Science Publishers, 2014. https://www.researchgate.net/publication/310477291_A_DESCRIPTION_OF_THE_BEHAVIOR_OF_SOME_PHASE_MOTIONS_IN_TERMS_OF_ORDINARY_AND_STANDARD_LEBESGUE_MEASURES_IN_R
  • Gogi Pantsulaia, Selected topics of invariant measures in Polish groups, Nova Publishers, Nova Publishers, 2014. https://www.researchgate.net/publication/264784966_Selected_topics_of_invariant_measures_in_Polish_groups
  • Gogi Pantsulaia, Givi Giorgadze, ON GENERALIZED VON FOERSTER-LASOTA EQUATIONS OF THE INFINITE ORDER IN R^ sup [infinity]^, Georgian International Journal of Science, Technology and Medicine 5 (3/4), 195, Hauppauge, NY : Nova Science Publishers, 2013.
  • Gogi Pantsulaia, Nino Rusiashvili, ON QUESTIONS OF U. DARJI AND D. FREMLIN, Georgian International Journal of Science, Technology and Medicine 5 (3/4), 181, Hauppauge, NY : Nova Science Publishers, 2013. https://www.researchgate.net/publication/264724368_ON_QUESTIONS_OF_U_DARJI_AND_D_FREMLIN
  • Tepper Gill, Aleks Petre Kirtadze, Gogi Pantsulaia, Nino Rusiashvili, A Plichko, On ordinary and standard" Lebesgue measures" in separable Banach spaces, Georgian International Journal of Science, Technology and Medicine 5 (3/4), 115, Hauppauge, NY : Nova Science Publishers, 2013. https://www.researchgate.net/publication/264723070_ON_ORDINARY_AND_STANDARD_LEBESGUE_MEASURES_IN_SEPARABLE_BANACH_SPACES
  • Gogi Pantsulaia, ON A UNION FEWER THAN c GENERALIZED SHY SETS, Georgian International Journal of Science, Technology and Medicine 5 (1/2), 79, Hauppauge, NY : Nova Science Publishers, 2013. https://www.researchgate.net/publication/264724182_ON_A_UNION_FEWER_THAN_c_GENERALIZED_SHY_SETS
  • Gogi Pantsulaia, Givi Giorgadze, Description of the behaviour of phase motions defined by generalized von Foersten-Lasota equations in R∞ in terms of ordinary and standard” Lebesgue measures”, Inter. J. Sci. Tech 4 (1/2), 47-62, R. M. Deshmukh, 2012. https://www.proquest.com/docview/1726774226
  • Gogi Pantsulaia, ON UNIFORMLY DISTRIBUTED SEQUENCES, Georgian International Journal of Science, Technology and Medicine 4 (3/4), 209, Hauppauge, NY : Nova Science Publishers, 2012. https://www.researchgate.net/publication/264721644_On_Uniformly_Distributed_Sequences_on_-1212
  • Gogi Pantsulaia, ON SOME EXAMPLES OF GENERATORS OF SHY SETS IN THE EUCLIDEAN PLANE AND RELATED TOPICS, Georgian International Journal of Science, Technology and Medicine 4 (3/4), 217, Hauppauge, NY : Nova Science Publishers, 2012. https://www.researchgate.net/publication/264722628_ON_SOME_EXAMPLES_OF_GENERATORS_OF_SHY_SETS_IN_THE_EUCLIDEAN_PLANE_AND_RELATED_TOPICS
  • Gogi Pantsulaia, Tepper Gill, WW Zachary, Constructive analysis in infinitely many variables, arXiv preprint arXiv:1206.1764, Arxiv, 2012. https://projecteuclid.org/journals/communications-in-mathematical-analysis/volume-13/issue-1/Constructive-Analysis-in-Infinitely-Many-Variables/cma/1349204802.full
  • Gogi Pantsulaia, ON UNIFORMLY DISTRIBUTED SEQUENCES, Georgian International Journal of Science, Technology and Medicine 4 (3/4), 209, Hauppauge, NY : Nova Science Publishers, 2012. https://www.researchgate.net/publication/264721644_On_Uniformly_Distributed_Sequences_on_-1212
  • Gogi Pantsulaia, Tepper Gill, Givi Giorgadze, ON DYNAMICAL SYSTEMS DEFINED BY PARTIAL DIFFERENTIAL EQUATIONS OF INFINITE ORDER WITH REAL CONSTANT COEFFICIENTS, Georgian International Journal of Science, Technology and Medicine 4 (3/4), 241, Hauppauge, NY : Nova Science Publishers, 2012. https://www.researchgate.net/publication/264722086_ON_DYNAMICAL_SYSTEMS_DEFINED_BY_PARTIAL_DIFFERENTIAL_EQUATIONS_OF_INFINITE_ORDER_WITH_REAL_CONSTANT_COEFFICIENTS
  • Gogi Pantsulaia, Gimzer Saatashvili, Zurab Zerakidze, ON CONSISTENT ESTIMATORS OF A USEFUL SIGNAL IN THE LINEAR ONE-DIMENSIONAL STOCHASTIC MODEL WHEN AN EXPECTATION OF THE TRANSFORMED SIGNAL IS NOT DEFINED, Georgian International Journal of Science, Technology and Medicine 4 (3/4), 189, Hauppauge, NY : Nova Science Publishers, 2012. https://www.researchgate.net/publication/264788456_ON_CONSISTENT_ESTIMATORS_OF_A_USEFUL_SIGNAL_IN_THE_LINEAR_ONE-DIMENSIONAL_STOCHASTIC_MODEL_WHEN_AN_EXPECTATION_OF_THE_TRANSFORMED_SIGNAL_DOES_NOT_EXI
  • Gogi Pantsulaia, Givi Giorgadze, ON AN EXPLICIT FORMULA FOR A PARTIAL SOLUTION OF THE NON-HOMOGENEOUS DIFFERENTIAL EQUATION OF THE HIGHER ORDER WITH REAL CONSTANT COEFFICIENTS, Georgian International Journal of Science, Technology and Medicine 4 (1/2), 37, Hauppauge, NY : Nova Science Publishers, 2012. https://www.researchgate.net/publication/264721251_ON_AN_EXPLICIT_REPRESENTATION_OF_A_PARTICULAR_SOLUTION_OF_THE_NON-HOMOGENEOUS_DIFFERENTIAL_EQUATION_OF_THE_HIGHER_ORDER_WITH_REAL_CONSTANT_COEFFICIEN
  • Gogi Pantsulaia, Givi Giorgadze, On some applications of infinite-dimensional cellular matrices, Georg. Inter. J. Sci. Tech., Nova Science Publishers 3 (1), 107-129, Georg. Inter. J. Sci. Tech., Nova Science Publishers, 2011. https://www.researchgate.net/publication/264719266_On_some_applications_of_infinite-dimensional_cellular_matrices
  • Gogi Pantsulaia, On ordinary and standard products of infinite family of σ-finite measures and some of their applications, Acta Mathematica Sinica, English Series 27 (3), 477-496, Springer Science+Business Media, 2011. https://www.researchgate.net/publication/227316628_On_ordinary_and_standard_products_of_infinite_family_of_s-finite_measures_and_some_of_their_applications
  • Gogi Pantsulaia, On uniformly distributed sequences of an increasing family of finite sets in infinite-dimensional rectangles, Real Analysis Exchange 36 (2), 325-340, Michigan State University Press, 2011. https://projecteuclid.org/journals/real-analysis-exchange/volume-36/issue-2/On-Uniformly-Distributed-Sequences-of-an-Increasing-Family-of-Finite/rae/1321020503.full
  • Gogi Pantsulaia, On Strict Standard and Strict Ordinary Products of Measures and Some of Their Applications, Georgian International Journal of Science and Technology, Nova Science …, , 2010. https://www.researchgate.net/publication/264727194_On_Ordinary_and_Standard_Products_of_Infinite_Family_of_s-finite_Measures_and_Some_of_Their_Applications
  • Gogi Pantsulaia, On a standard product of an arbitrary family of -finite Borel measures with domains in Polish spaces, Theory of Stochastic Processes 16 (1), 84-93, Institute of Mathematics of Ukrainian National Academy of Sciences, 2010. http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=thsp&paperid=64&option_lang=eng
  • Gogi Pantsulaia, On uniform measures in Banach spaces, Georgian International Journal of Science and Technology, Nova Science …, , 2010. https://www.researchgate.net/publication/264715532_On_uniform_measures_in_Banach_spaces
  • Gogi Pantsulaia, On a certain partition of the non-locally compact abelian Polish group RN, Proc. A. Razmadze Math. Inst 149, 75-86, A. Razmadze Mathematical Institute (Georgia), 2009. https://www.researchgate.net/publication/264711834_On_a_certain_partition_of_the_non-locally_compact_abelian_Polish_group_Bbb_Rsp_N
  • Gogi Pantsulaia, On ordinary and standard Lebesgue measures on R∞, Bull. Polish Acad. Sci 73 (3), 209-222, Bulletin of the Polish Academy of Sciences, 2009. https://www.researchgate.net/publication/251068436_On_Ordinary_and_Standard_Lebesgue_Measures_on_R
  • Gogi Pantsulaia, On intersection of problems of theoretical statistics and set theory, Far East Journal of Theoretical Statistics 25 (2), 251-271, Pushpa Publishing House, 2008. https://www.researchgate.net/publication/264711019_ON_INTERSECTION_OF_PROBLEMS_OF_THEORETICAL_STATISTICS_AND_SET_THEORY
  • Gogi Pantsulaia, On generators of shy sets on Polish topological vector spaces, New York J. Math 14, 235-261, New York J. Math , 2008. https://www.researchgate.net/publication/228568615_On_generators_of_shy_sets_on_Polish_topological_vector_spaces
  • Gogi Pantsulaia, ON THE KOMJATH CONJECTURE IN THE MARTIN-SOLOVAY MODEL, Georgian International Journal of Science and Technology 1 (1), , 2008. https://www.researchgate.net/publication/288539112_On_the_Komjath_conjecture_in_the_Martin-Solovay_model
  • Gogi Pantsulaia, On a generalized Fourier µ-series in some infinite-dimensional Polish topological vector spaces, Georgian International Journal of Science and Technology 1 (4), , 2008.
  • Gogi Pantsulaia, Givi Giorgadze, On analogy of Liouville theorem in infinitedimensional separable Hilbert space, Georgian International Journal of Science and Technology 1 (2), 167-179, , 2008. https://www.researchgate.net/publication/267441625_On_analogy_of_Liouville_theorem_in_Hilbert_space_l_2
  • Aleks Petre Kirtadze, Gogi Pantsulaia, Lebesgue nonmeasurable sets and the uniqueness of invariant measures in infinite-dimensional vector spaces, Proc. A. Razmadze Math. Inst 143, 95-101, A. Razmadze Mathematical Institute (Georgia), 2007. https://www.researchgate.net/publication/264710977_LEBESGUE_NONMEASURABLE_SETS_AND_THE_UNIQUENESS_OF_INVARIANT_MEASURES_IN_INFINITE-DIMENSIONAL_VECTOR_SPACES
  • Gogi Pantsulaia, Invariant and quasiinvariant measures in infinite-dimensional topological vector spaces, Nova Science Pub Incorporated, Nova Science Publishers, Inc., New York, 2007. https://www.researchgate.net/publication/264784939_Invariant_and_quasiinvariant_measures_in_infinite-dimensional_topological_vector_spaces
  • Aleks Petre Kirtadze, Gogi Pantsulaia, On Null Sets in Infinite-Dimensional Banach Spaces, Proc. A. Razmadze Math. Inst 139, 128-131, A. Razmadze Mathematical Institute (Georgia), 2005. https://www.researchgate.net/publication/268064550_On_null_sets_in_infinite-dimensional_Banach_spaces
  • Gogi Pantsulaia, An application of independent families of sets to the measure extension problem, Walter de Gruyter GmbH & Co. KG 11 (2), 379-390, De Gruyter, 2004. https://www.researchgate.net/publication/252755132_An_application_of_independent_families_of_sets_to_the_measure_extension_problem
  • Gogi Pantsulaia, On an invariant Borel measure in Hilbert space, Bulletin Polish Acad. Sci. Math. 52, 47-51, Bulletin Polish Acad. Sci. Math., 2004. https://eudml.org/doc/280425
  • Gogi Pantsulaia, Relations between Shy Sets and Sets of -Measure Zero in Solovay's Model, Bulletin Polish Acad. Sci. Math. 52, 63-69, Bulletin Polish Acad. Sci. Math., 2004. https://www.researchgate.net/publication/240989815_Relations_between_Shy_Sets_and_Sets_of_n_p_Measure_Zero_in_Solovay's_Model
  • Gogi Pantsulaia, ON SOME QUASIINVARIANT MEASURES AND DYNAMICAL SYSTEMS IN INFINITE DIMENSIONAL TOPOLOGICAL VECTOR SPACES, GEORGIAN TECHNICAL UNIVERSITY, GEORGIAN TECHNICAL UNIVERSITY, 2003. https://www.researchgate.net/publication/264787916_ON_SOME_QUASIINVARIANT_MEASURES_AND_DYNAMICAL_SYSTEMS_IN_INFINITE_DIMENSIONAL_TOPOLOGICAL_VECTOR_SPACES_by
  • Gogi Pantsulaia, On separation properties for families of probability measures, Walter de Gruyter GmbH & Co. KG 10 (2), 335-341, De Gruyter, 2003. https://www.researchgate.net/publication/251170732_On_Separation_Properties_for_Families_of_Probability_Measures
  • Gogi Pantsulaia, Duality of Measure and Category in Infinite-Dimensional Separable Hilbert Space ℓ2, International Journal of Mathematics and Mathematical Sciences 30 (6), 353-363, Hindawi, 2002. https://www.researchgate.net/publication/27358650_Duality_of_Measure_and_Category_in_Infinite-Dimensional_Separable_Hilbert_Space_l2
  • Gogi Pantsulaia, Tengiz Kiria, Calculation of Lebesgue Integrals by Using Uniformly Distributed Sequences in (0,1), arXiv preprint arXiv:1601.04088, Arxiv, 2000. https://arxiv.org/abs/1601.04088