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✦   LIBER   ✦

Lie Groups and Symmetric Spaces: In Memory of F. I. Karpelevich

✍ Scribed by N. N. Uraltseva, F. I. Karpelevich, S. G. Gindikin

Book ID
127418993
Publisher
American Mathematical
Year
2003
Tongue
English
Weight
4 MB
Series
American Mathematical Society Translations Series 2
Category
Library
ISBN-13
9780821834725

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✦ Synopsis

The book contains survey and research articles devoted mainly to geometry and harmonic analysis of symmetric spaces and to corresponding aspects of group representation theory. The volume is dedicated to the memory of Russian mathematician, F. I. Karpelevich (1927 - 2000). Of particular interest are the survey articles by Sawyer on the Abel transform on noncompact Riemannian symmetric spaces, and by Anker and Ostellari on estimates for heat kernels on such spaces, as well as the article by Bernstein and Gindikin on integral geometry for families of curves. There are also many research papers on topics of current interest. The book is suitable for graduate students and research mathematicians interested in harmonic analysis and representation theory.

πŸ“œ SIMILAR VOLUMES

Heat and Harmonic Extensions for Functio
Heat and Harmonic Extensions for Function Spaces of Hardy–Sobolev–Besov Type on Symmetric Spaces and Lie Groups
✍ Leszek Skrzypczak πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 192 KB

Function spaces of Hardy Sobolev Besov type on symmetric spaces of noncompact type and unimodular Lie groups are investigated. The spaces were originally defined by uniform localization. In the paper we give a characterization of the space F s p, q (X ) and B s p, q (X ) in terms of heat and Poisson