End point estimates for Radon transform of radial functions on non-Euclidean spaces

被引：1

作者：

Kumar, Ashisha ^{[1
,2
]}

Ray, Swagato K. ^{[3
]}

机构：

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

[2] Indian Inst Technol, Discipline Math, Indore, Madhya Pradesh, India

[3] Indian Stat Inst, Stat Math Unit, Kolkata 700108, India

来源：

MONATSHEFTE FUR MATHEMATIK | 2014年 / 174卷 / 01期

关键词：

Radon transform; d-Plane transform; Hyperbolic space; Sphere; Affine Grassmann; REAL HYPERBOLIC SPACE; AFFINE GRASSMANN MANIFOLDS; L-P-FUNCTIONS; HARMONIC-ANALYSIS; OPERATORS; FOURIER; COSINE;

D O I：

10.1007/s00605-014-0620-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove end point estimate for Radon transform of radial functions on affine Grasamannian and real hyperbolic space. We also discuss analogs of these results on the sphere.

引用

页码：41 / 75

页数：35

共 6 条

[1] End point estimates for Radon transform of radial functions on non-Euclidean spaces
Ashisha Kumar
Swagato K. Ray
Monatshefte für Mathematik, 2014, 174 : 41 - 75
[2] WEIGHTED ESTIMATES FOR THE k-PLANE TRANSFORM OF RADIAL FUNCTIONS ON EUCLIDEAN SPACES
Kumar, Ashisha
Ray, Swagato K.
ISRAEL JOURNAL OF MATHEMATICS, 2012, 188 (01) : 25 - 56
[3] Rigid body dynamics in non-Euclidean spaces
Borisov, A. V.
Mamaev, I. S.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2016, 23 (04) : 431 - 454
[4] Volume Like Elements of an n-Dimensional Simplex in Non-Euclidean Spaces
Bhattacharya, A.
Dubey, K. K.
Mondal, B.
SIBERIAN MATHEMATICAL JOURNAL, 2024, 65 (04) : 878 - 898
[5] On the Exponential Radon Transform and Its Extension to Certain Functions Spaces
Al-Omari, S. K. Q.
Kilicman, A.
ABSTRACT AND APPLIED ANALYSIS, 2014,
[6] Volume Like Elements of an \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ n $\end{document}-Dimensional Simplex in Non-Euclidean Spaces
A. Bhattacharya
K. K. Dubey
B. Mondal
Siberian Mathematical Journal, 2024, 65 (4) : 878 - 898

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