For some boundary Value Problems in Distributions
In this paper we give a result concerning convergent sequences of functions that give convergent sequence of distributions in and find the analytic representation of the distribution obtained by their boundary values. Also, we present two examples.
Bremermann G.: Raspredelenija, kompleksnije permenenije I preobrazovanija Fourie, Izdat. ‘’Mir’’, Moskva, 1968.
Carmichael R, Mitrovic D.: Distributions and analytic functions, John Wiley and Sons Inc., New York, 1989.
V. Manova-Erakovi?, S. Pilipovi?, V. Reckovski, Generalized Cauchy transformation with applications to boundary values in generalized function spaces, Integral Transforms and Special Function, Vol. 21, Nos. 1-2, January-February 2010, p.p. 75-83.
V. Manova-Erakovi?, S. Pilipovi?, V. Reckovski, Analytic representations of sequences in spaces , Filomat 31:7 (2017), University of Nis, Serbia, 2017, p.p. 1959-1966
V. Manova-Erakovi?, V. Reckovski, A note on the analytic representations of convergent sequences in S', Filomat 29:6 (2015), University of Nis, Serbia, 2015, p.p. 1419-1424
Pathak R.S. Distributions theory and applications, Varnasi, India, 2001.
Rudin W.: Real and complex analysis, third edition Mc Graw Hill, 1987.
Copyright (c) 2019 Vasko Reckovski, Vesna Manova Erkovikj, Bedrije Bedjeti, Egzona Iseni
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain the copyright of their manuscripts, and all Open Access articles are distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided that the original work is properly cited.