Prof. dr hab. Ołeh Łopuszański

Publikacje

• Malliavin Operator Calculus on Countable Products of Heisenberg Matrix Groups. - Journal of Fourier Analysis and Applications, 2025, Vol. 31, iss. 4
• Norm-Preserving Holomorphic Expansions of Random Functions on Unitary Matrix Groups. - Complex Analysis and Operator Theory, 2025, Vol. 19, iss. 3
• On Schrödinger semigroups generated by universal Malliavin calculus. - Analysis and Mathematical Physics, 2025, Vol. 15, iss. 3
• Schrödinger-type semigroups intertwined by Weyl pairs on abstract Wiener spaces. - Analysis and Mathematical Physics, 2025, Vol. 15, iss. 4
• Bernstein-Jackson Inequalities on Gaussian Hilbert Spaces. - Journal of Fourier Analysis and Applications, 2023, Vol. 29, iss. 5
• [współaut.] Łopuszański A, Sharyn S Nonlinear inverse problem of control diffusivity parameter determination for a space-time fractional diffusion equation. - Applied Mathematics and Computation, 2021, Vol. 390
• [współaut.] Łopuszański A, Szpila A Fractional abstract cauchy problem on fractional abstract cauchy problem on Complex interpolation scales. - Fractional Calculus and Applied Analysis, 2020, vol. 23, iss. 4, p. 1125-1140
• [współaut.] Tłuczek-Pięciak R Best Approximations by Increasing Invariant Subspaces of Self-Adjoint Operators. - Symmetry-Basel, 2020, Vol. 12, iss. 11, Article number: 1918
• Weyl-Schrödinger Representations of Heisenberg Groups in Infinite Dimensions. - Results in Mathematics, 2020, Vol. 75, iss. 1
• [współaut.] Dmytryshyn M On Spectral Approximations of Unbounded Operators. - Complex Analysis and Operator Theory, 2019, Vol. 13, iss. 8, s. 3659-3673
• [współaut.] Dmytryshyn M Spectral approximations of strongly degenerate elliptic differential operators. - Carpathian Mathematical Publications, 2019, Vol. 11, iss. 1, s. 48-53
• Paley-Wiener Isomorphism Over Infinite-Dimensional Unitary Groups. - Results in Mathematics, 2017, Vol. 72, s. 2101-2120
• The Hilbert-Schmidt Analyticity Associated with Infinite-Dimensional Unitary Groups. - Results in Mathematics, 2017, Vol. 71, iss. 1-2, pp. 111-126
• [współaut.] Sharyn S Application of the Laplace Transform of Tempered Distributions to the Construction of Functional Calculus. - Ukrainian Mathematical Journal, 2016, Vol. 67, no. 11, p. 1687-1703
• Radial boundary values of Poisson integrals on infinite-dimensional balls. - Boundary Value Problems, 2016, Vol. 2016, Article number 29
• The Hilbert-Schmidt analyticity associated with infinite-dimensional unitary groups. - arXiv, 14 s.
• [współaut.] Dmytryshyn M Bernstein-Jackson-type inequalities and Besov spaces associated with unbounded operators. - Journal of Inequalities and Applications, 2014, Article Number: 105, 12 p.
• [współaut.] Sharyn S Generalized Hille-Phillips type functional calculus for multiparameter semigroups. - Siberian Mathematical Journal, 2014, Vol. 55, iss. 1, s. 105-117
• Best approximations in Hardy spaces on infinite-dimensional unitary matrix groups. - Abstract and Applied Analysis, 2014, 2014, Article ID 631503 (8 s.)
• Operators commuting with multi-parameter shift semigroups. - Carpathian Journal of Mathematics, 2014, Vol. 30, iss. 2, s. 217-224
• Hardy-type space associated with an infinite-dimensional unitary matrix group. - Abstract and Applied Analysis, 2013, Vol. 2013, Article ID 810735 (7 s.)
• [współaut.] Zagorodnyuk A Infinite dimensional holomorphy : spectra and hilbertian structures. Krakow, AGH University of Science and Technology Press: 2013, 141 s.
• [współaut.] Iwaszczuk N, Iwaszczuk O Rol' pìdzemnih shovis gazu dlâ pìdtrimki stabìl'nostì funkcìonuvannâ gazovoï promislovostì v kraïnì. - Naukovì zapiski L'vìvs'kogo unìversitetu bìznesu ta prava, 2012, no. 8, s. 56-62
• [współaut.] Lopušans'ka H, Pasičnik O Slidi rozv'âzkiv pivlinijnih rivnân' z drobovoû pohidnoû za časom. - Karpatc'ki Matematični Publikaciï, 2011, T. 3, nr 1, s. 85-93
• [współaut.] Oleksienko M Hardy type spaces on infinite dimensional group orbits. - Methods of Functional Analysis and Topology, 2011, nr 3, s. 225-234
• [współaut.] Sharyn S, Solomko A Vector-valued functional calculus for a convolution algebra of distributions on cone. - Matematični Studii, 2011, T. 31, nr 1, s. 78-90
• [współaut.] Zagorodnyuk A Hardy type spaces associated with compact unitary groups. - Nonlinear Analysis : Theory, Methods & Applications, 2011, vol. 74, iss. 2, p. 556-572
• Polynomial ultradistributions : differentiation and Laplace transformation W: Linear and non-linear theory of generalized functions and its applications / ed. of the vol. Andrzej Kamiński, Michael Oberguggenberger and Stevan Pilipović ; Institute of Mathematics. Polish Academy of Sciences. Warszawa, Institute of Mathematics. Polish Academy of Sciences: 2010, S. 195-209
• [współaut.] Sharyn S Polynomial ultradistributions on R₊^d. - Topology, 2009, Vol. 48, Iss. 2-4, p. 80-90
• Hardy spaces for irreducible representations of locally compact groups. - Topology, 2009, Vol. 48, Iss. 2-4, p. 169-177
• [współaut.] Dmitrišin M Abstraktí prostori Besova, asocíjovaní iz zamknenimi operatorami v Banahovih prostorah. - Dopovidi Nacíonal'noï Akademíï Nauk Ukraïni, 2007, nr 12, s. 16-22
• [współaut.] Zagorodnyuk A Representing measures and infinite-dimensional holomorphy. - Journal of Mathematical Analysis and Applications, 2007, Vol. 333, Iss. 2, p. 614-625