Ivan Pesin (to his 90th anniversary)

  • M. Zarichnyi Ivan Franko National University of Lviv, Lviv, Ukraine
  • L. Bazylevych Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv
  • I. Oleksiv Lviv Polytechnic National University, Lviv, Ukraine
  • Ya. Prytula Ivan Franko National University of Lviv
Keywords: Ivan Pesin; quasiconformal mapping; real analysis

Abstract

The note is devoted to biography and achievements of Ukrainian mathematician Ivan Pesin (1930--1993).

Author Biographies

M. Zarichnyi, Ivan Franko National University of Lviv, Lviv, Ukraine

Department of Mathematics, Professor

L. Bazylevych, Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv

Faculty of Mechanics and Mathematics,
Ivan Franko National University of Lviv

I. Oleksiv, Lviv Polytechnic National University, Lviv, Ukraine

Lviv Polytechnic National University

Ya. Prytula, Ivan Franko National University of Lviv

Ivan Franko National University of Lviv

References

L. Ahlfors, A. Beur1ing, Conformal invariants and function-theoretic nullsets, Acta Math., 83 (1950), 100–129.

L.E. Bazilevich, I.N. Pesin, Two problems concerning Fr´echet distance and lines of evasion, Siberian Mathematical Journal, 22, 495–501(1981)

P.P. Belinskij, I.N. Pesin, On the closure of the class of differentiable quasiconformal mappings, Dokl. Akad. Nauk SSSR 102 (1955), 865–866 (in Russian).

P. Caraman, Homeomorfisme Cvasiconforme n-Dimensionale, Ed. Acad. R. S. R., Bucure¸sti (1968); n-Dimensional Quasiconformal Homeomorphisms, Ed. Acad. R. S. R., Bucure¸sti and Abacus Press,Tunbridge Wells, Kent (1974).

P. Caraman, N-dimensional Quasiconformal, QCf, Mappings. Front Cover. Petru Caraman. Ed. Acad., 1974 - 551 pages.

Andrean C. Cazacu, Foundations of quasiconformal mappings. Handbook of Complex Analysis, Geometric Function Theory, Elsevier B. V. 2, 687–755 (2005).

A. P. Kopylov, I. N. Pesin, Removability of certain sets in the class of three-dimensional quasiconformal mappings, Math. Notes, 7:6 (1970), 432–434.

I. Ya. Oleksiv, I. N. Pesin, Three problems on minimal isotopies and on approximation of curves and surfaces by homeomorphisms, Sibirskij matematiceskij zurnal (1977), Volume: 18, Issue: 5, 1140–1158.

I.N. Pesin, On the theory of generalized Q-quasiconformal mappings, Dokl. Akad. Nauk SSSR 102 (1955), 223–224 (in Russian).

Ivan N. Pesin, Classical and Modern Integration Theories, 1st Edition, Academic Press, 1970.; 2nd Edition, 2014, 218 pp.

I. N. Pesin, Metric properties of Q-quasiconformal mappings, Mat. Sb. (N.S.), 40(82):3 (1956), 281—294.

I. N. Pesin, On the lenghth of one everywhere discontinuous set of points, Uspekhi mat. nauk, 1955, V.10, issue 3(65), 153 (In Russian)

I. N. Pesin, Carath´eodory theory of prime ends, Sibirskij matematiceskij zurnal (1966) Volume: 7, Issue:5, page1087–1094.

Yu.G. Reshetnyak, Space mappings with bounded distortion, Sibirsk. Mat. Zh. 8 (3) (1967), 629-658 (in Russian).

Published
2020-06-24
How to Cite
Zarichnyi, M., Bazylevych, L., Oleksiv, I., & Prytula, Y. (2020). Ivan Pesin (to his 90th anniversary). Matematychni Studii, 53(2), 221-224. https://doi.org/10.30970/ms.53.2.221-224
Section
Chronicles