Offbeat Integral Geometry on Symmetric Spaces

Vitaly V. Volchkov

ISBN 10: 3034808003 / ISBN 13: 9783034808002

Published by Springer Basel, Springer Basel Jun 2015, 2015

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -The book demonstrates the development of integral geometry on domains of homogeneous spaces since 1990. It covers a wide range of topics, including analysis on multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work on phase space and the Heisenberg group. The book includes many significant recent results, some of them hitherto unpublished, among which can be pointed out uniqueness theorems for various classes of functions, far-reaching generalizations of the two-radii problem, the modern versions of the Pompeiu problem, and explicit reconstruction formulae in problems of integral geometry. These results are intriguing and useful in various fields of contemporary mathematics. The proofs given are ¿minimal¿ in the sense that they involve only those concepts and facts which are indispensable for the essence of the subject. Each chapter provides a historical perspective on the results presented and includes many interesting open problems. Readers will find this book relevant to harmonic analysis on homogeneous spaces, invariant spaces theory, integral transforms on symmetric spaces and the Heisenberg group, integral equations, special functions, and transmutation operators theory.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 604 pp. Englisch.

Seller Inventory # 9783034808002

Bibliographic Details

• Title: Offbeat Integral Geometry on Symmetric Spaces
• Publisher: Springer Basel, Springer Basel Jun 2015
• Publication Date: 2015
• Language: English
• ISBN 10: 3034808003
• ISBN 13: 9783034808002
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

The book demonstrates the development of integral geometry on domains of homogeneous spaces since 1990. It covers a wide range of topics, including analysis on multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work on phase space and the Heisenberg group. The book includes many significant recent results, some of them hitherto unpublished, among which can be pointed out uniqueness theorems for various classes of functions, far-reaching generalizations of the two-radii problem, the modern versions of the Pompeiu problem, and explicit reconstruction formulae in problems of integral geometry. These results are intriguing and useful in various fields of contemporary mathematics. The proofs given are “minimal” in the sense that they involve only those concepts and facts which are indispensable for the essence of the subject. Each chapter provides a historical perspective on the results presented and includes many interesting open problems. Readers will find this book relevant to harmonic analysis on homogeneous spaces, invariant spaces theory, integral transforms on symmetric spaces and the Heisenberg group, integral equations, special functions, and transmutation operators theory.