Valery V. Volchkov, Vitaly V. Volchkov

Offbeat Integral Geometry on Symmetric Spaces (eBook, PDF)

• Format: PDF

Produktbeschreibung

Produktdetails

• Verlag: Springer Basel
• Erscheinungstermin: 30. Januar 2013
• Englisch
• ISBN-13: 9783034805728
• Artikelnr.: 38439296

Inhaltsangabe

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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.

Rezensionen

From the reviews:
"The book presents a broad survey of the results in an interesting area, where the harmonic analysis and differential and integral equations interact in a fruitful way. The authors themselves have contributed a lot to the subject. The book will be interesting to those working in the border areas between analysis, integral geometry and Lie groups representation theory." (Mark Agranovsky, Mathematical Reviews, March, 2014)