Offbeat Integral Geometry on Symmetric Spaces

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Offbeat Integral Geometry on Symmetric Spaces

種類:

電子ブック

責任表示:

by Valery V. Volchkov, Vitaly V. Volchkov

出版情報:

Basel : Springer Basel : Imprint: Birkhäuser, 2013

著者名:

ISBN:

9783034805728 [3034805721]

ローカル注記:

学内専用E-BOOKS (local access only)

オンライン

http://dx.doi.org/10.1007/978-3-0348-0572-8

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詳細

主題:

Abstract Harmonic Analysis; Differential Geometry; Integral Transforms, Operational Calculus; Mathematics; Special Functions

分類・件名:

DC23 : 515.5
LCSH : Mathematics
LCSH : Harmonic analysis
LCSH : Integral Transforms
LCSH : Functions, special
LCSH : Global differential geometry
FREE : Mathematics
FREE : Special Functions
FREE : Abstract Harmonic Analysis
FREE : Integral Transforms, Operational Calculus
FREE : Differential Geometry

形態:

X, 592 p : digital

目次情報:

Preface
Part 1. Analysis on Symmetric Spaces. 1 Preliminaries
2 The Euclidean case
3 Symmetric spaces of the non-compact type.-4 Analogies for compact two-point homogeneous Spaces
5 The phase space associated to the Heisenberg group.-Part 2. Offbeat Integral Geometry
1 Functions with zero ball means on Euclidean space
2 Two-radii theorems in symmetric spaces
3 The problem of finding a function from its ball means
4 Sets with the Pompeiu property
5 Functions with zero integrals over polytopes.-6 Ellipsoidal means
7 The Pompeiu property on a sphere
8 The Pompeiu transform on symmetric spaces and groups.-9 Pompeiu transforms on manifolds
Bibliography
Index
Basic notation

Preface
Part 1. Analysis on Symmetric Spaces. 1 Preliminaries
2 The Euclidean case
3 Symmetric spaces of the non-compact type.-4 Analogies for compact two-point homogeneous Spaces
5 The phase space associated to the Heisenberg group.-Part 2. Offbeat Integral Geometry
1 Functions with zero ball means on Euclidean space

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書誌ID:

KB00010174

内容紹介

目次情報

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