BANACH SPACE VALUED POTENTIAL TRANSFORM

被引：0

作者：

Sahu, Nanda D. ^{[1
]}

Gudadhe, Alka S. ^{[2
]}

机构：

[1] Sipnas Coll Engn & Technol, Amravati 444701, India

[2] Govt Vidarbha Inst Sci & Humanties, Dept Math, Amravati 444701, India

来源：

JOURNAL OF SCIENCE AND ARTS | 2011年 / 02期

关键词：

generalized function; Banach space; Potential transform; testing function spaces;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper studies different testing function spaces of Gelfand-Shilov type for the Banach space valued generalized Potential transform. The topological properties of these spaces are discussed. Different operators and their continuity is also discussed. The Analyticity theorem and Inversion theorem for Banach space valued distributional Potential Transform are also proved.

引用

页码：121 / 128

页数：8

共 50 条

[41] Exploration of indispensable Banach-space valued functions
Hu, Yiheng
Lyu, Gang
Jin, Yuanfeng
Liu, Qi
AIMS MATHEMATICS, 2023, 8 (11): : 27670 - 27683
[42] INTEGRALS OF SET-VALUED MAPS IN BANACH SPACE
朱其吉
Science Bulletin, 1987, (24) : 1717 - 1717
[43] Fredholm-valued holomorphic mappings on a Banach space
Dineen, Sean
Venkova, Milena
INDAGATIONES MATHEMATICAE-NEW SERIES, 2008, 19 (03): : 379 - 389
[44] BMO BOUNDEDNESS FOR BANACH SPACE VALUED SINGULAR INTEGRALS
Chunjie Zhang (Hangzhou Dianzi University
Analysis in Theory and Applications, 2011, 27 (03) : 278 - 287
[45] Ostrowski and Landau inequalities for Banach space valued functions
Anastassiou, George A.
MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) : 312 - 329
[46] A NOTE ON THE CONVERGENCE OF BANACH-SPACE VALUED MARTINGALES
CHATTERJI, SD
MATHEMATISCHE ANNALEN, 1964, 153 (02) : 142 - 149
[47] Atomic decompositions of Banach-space-valued martingales
Liu, PD
Hou, YL
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1999, 42 (01): : 38 - 47
[48] Quantum tomography with wavelet transform in Banach space on homogeneous space
M. Mirzaee
M. Rezaei
M. A. Jafarizadeh
The European Physical Journal B, 2007, 60 : 193 - 201
[49] Quantum tomography with wavelet transform in Banach space on homogeneous space
Mirzaee, M.
Rezaei, M.
Jafarizadeh, M. A.
EUROPEAN PHYSICAL JOURNAL B, 2007, 60 (02): : 193 - 201
[50] Hahn-Banach theorems of set-valued mapping in an order Banach space
Li, Shengjie
Chongqing Jianzhu Daxue Xuebao/Journal of Chongqing Jianzhu University, 1995, 17 (04): : 18 - 24

← 1 2 3 4 5 →