Offbeat Integral Geometry on Symmetric Spaces

By Valery V. Volchkov and Vitaly V. Volchkov

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.

• Format: Hardcover
• Language: English
• ISBN: 3034805713
• ISBN13: 9783034805711
• Release Date: January 2013
• Publisher: Birkhauser
• Length: 592 Pages
• Weight: 2.10 lbs.
• Dimensions: 1.5" x 6.3" x 9.1"