Reproducing Kernel Hilbert Spaces and the Associated Integral Equations

被引：0

作者：

Das, N. ^{[1
]}

Lal, R. P. ^{[2
]}

机构：

[1] Utkal Univ, PG Dept Math, Bhubaneswar 751004, Odisha, India

[2] Univ Hyderabad, Dept Comp & Informat Sci, Hyderabad 500046, Andhra Pradesh, India

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2015年 / 5卷 / 02期

关键词：

Hardy space; Bergman space; Paley-Wiener space; symmetric measure; integral equations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider various reproducing kernel Hilbert spaces and the classes of integral equations associated with them. We find solutions of these integral equations in the respective spaces.

引用

页码：21 / 36

页数：16

共 50 条

[1] Reproducing kernel Hilbert spaces associated with kernels on topological spaces
J. C. Ferreira
V. A. Menegatto
[J]. Functional Analysis and Its Applications, 2012, 46 : 152 - 154
[2] Reproducing kernel Hilbert spaces associated with kernels on topological spaces
Ferreira, J. C.
Menegatto, V. A.
[J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2012, 46 (02) : 152 - 154
[3] Jacobi polynomials and associated reproducing kernel Hilbert spaces
Watanabe, Shigeru
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 389 (01) : 108 - 118
[4] Reproducing Kernel Hilbert Spaces for Parametric Partial Differential Equations
Griebel, Michael
Rieger, Christian
[J]. SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 2017, 5 (01): : 111 - 137
[5] Learning Partial Differential Equations in Reproducing Kernel Hilbert Spaces
Stepaniants, George
[J]. JOURNAL OF MACHINE LEARNING RESEARCH, 2023, 24
[6] Pasting Reproducing Kernel Hilbert Spaces
Sawano, Yoshihiro
[J]. NEW TRENDS IN ANALYSIS AND INTERDISCIPLINARY APPLICATIONS, 2017, : 401 - 407
[7] A Primer on Reproducing Kernel Hilbert Spaces
Manton, Jonathan H.
Amblard, Pierre-Olivier
[J]. FOUNDATIONS AND TRENDS IN SIGNAL PROCESSING, 2014, 8 (1-2): : 1 - 126
[8] On isomorphism of reproducing kernel Hilbert spaces
V. V. Napalkov
V. V. Napalkov
[J]. Doklady Mathematics, 2017, 95 : 270 - 272
[9] Noncommutative reproducing kernel Hilbert spaces
Ball, Joseph A.
Marx, Gregory
Vinnikov, Victor
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 271 (07) : 1844 - 1920
[10] On reproducing kernel Hilbert spaces of polynomials
Li, XJ
[J]. MATHEMATISCHE NACHRICHTEN, 1997, 185 : 115 - 148

← 1 2 3 4 5 →