|
Zapiski Nauchnykh Seminarov POMI, 2000, Volume 271, Pages 56–62
(Mi znsl1347)
|
|
|
|
On solution of the functional equations of the 1st and 2nd kind whose the transformations with orthogonal coordinats
G. Ya. Areshkin Military Technical University
Abstract:
In this paper we introduce the notion of coordinats for a linear continuous transformation of Hilbert space $H$. We develop the complete solvability theory for the functional equations of the 1st and 2nd kind with kernels having orthogonal coordinats and we obtain all such solutions. In particular, this theory is applicable to equations with compact operator.
Received: 08.11.2000
Citation:
G. Ya. Areshkin, “On solution of the functional equations of the 1st and 2nd kind whose the transformations with orthogonal coordinats”, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Zap. Nauchn. Sem. POMI, 271, POMI, St. Petersburg, 2000, 56–62; J. Math. Sci. (N. Y.), 115:6 (2003), 2731–2734
Linking options:
https://www.mathnet.ru/eng/znsl1347 https://www.mathnet.ru/eng/znsl/v271/p56
|
Statistics & downloads: |
Abstract page: | 127 | Full-text PDF : | 47 |
|