Hyperfunctions and Harmonic Analysis on Symmetric Spaces

Name: Hyperfunctions and Harmonic Analysis on Symmetric Spaces
Brand: Springer, Basel
SKU: 9780817632151
Price: 243.06 PLN
Availability: InStock

Autor: Henrik Schlichtkrull

Język:

Oprawa: Twarda

Wydawca: Springer, Basel

Dostępność: Dostępna u dostawcy w małych ilościach

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This book gives an introductory exposition of the theory of hyperfunctions and regular singularities...

Informacje o książce

Autor

Henrik Schlichtkrull

Język

Angielski

Oprawa

Książka - Twarda

strony

186

EAN

9780817632151

ISBN

0817632158

Enbook ID

01398863

Wydawca

Springer, Basel

Waga

455

Wymiary

155 x 235 x 12

Pełny opis

This book gives an introductory exposition of the theory of hyperfunctions and regular singularities. This first English introduction to hyperfunctions brings readers to the forefront of research in the theory of harmonic analysis on symmetric spaces. A substantial bibliography is also included. This volume is based on a paper which was awarded the 1983 University of Copenhagen Gold Medal Prize.During the last ten years a powerful technique for the study of partial differential equations with regular singularities has developed using the theory of hyperfunctions. The technique has had several important applications in harmonic analysis for symmetric spaces.§This book gives an introductory exposition of the theory of hyperfunctions and regular singularities, and on this basis it treats two major applications to harmonic analysis. The first is to the proof of Helgason s conjecture, due to Kashiwara et al., which represents eigenfunctions on Riemannian symmetric spaces as Poisson integrals of their hyperfunction boundary values.§A generalization of this result involving the full boundary of the space is also given. The second topic is the construction of discrete series for semisimple symmetric spaces, with an unpublished proof, due to Oshima, of a conjecture of Flensted-Jensen.§This first English introduction to hyperfunctions brings readers to the forefront of research in the theory of harmonic analysis on symmetric spaces. A substantial bibliography is also included. This volume is based on a paper which was awarded the 1983 University of Copenhagen Gold Medal Prize.

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