2013

Offbeat Integral Geometry on Symmetric Spaces

Authors:

ISBN: 978-3-0348-0571-1 (Print) 978-3-0348-0572-8 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-x

  2. Analysis on Symmetric Spaces

    1. Front Matter

      Pages 1-2

    2. No Access

      Book Chapter

      Pages 3-42

      Preliminaries

    3. No Access

      Book Chapter

      Pages 43-83

      The Euclidean Case

    4. No Access

      Book Chapter

      Pages 85-110

      Symmetric Spaces of the Non-compact Type

    5. No Access

      Book Chapter

      Pages 111-134

      Analogies for Compact Two-point Homogeneous Spaces

    6. No Access

      Book Chapter

      Pages 135-156

      The Phase Space Associated to the Heisenberg Group

  3. Offbeat Integral Geometry

    1. Front Matter

      Pages 157-158

    2. No Access

      Book Chapter

      Pages 159-228

      Functions with Zero Ball Means on Euclidean Space

    3. No Access

      Book Chapter

      Pages 229-264

      Two-radii Theorems in Symmetric Spaces

    4. No Access

      Book Chapter

      Pages 265-307

      The Problem of Findinga Function from Its Ball Means

    5. No Access

      Book Chapter

      Pages 309-357

      Sets with the Pompeiu Property

    6. No Access

      Book Chapter

      Pages 359-391

      Functions with Zero Integrals over Polytopes

    7. No Access

      Book Chapter

      Pages 393-433

      Ellipsoidal Means

    8. No Access

      Book Chapter

      Pages 435-496

      The Pompeiu Property on a Sphere

    9. No Access

      Book Chapter

      Pages 497-526

      The Pompeiu Transform on Symmetric Spaces and Groups

    10. No Access

      Book Chapter

      Pages 527-555

      Pompeiu Transforms on Manifolds

  4. Back Matter

    Pages 557-592