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2013

Offbeat Integral Geometry on Symmetric Spaces

Authors:

Valery V. Volchkov,
Vitaly V. Volchkov
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ISBN: 978-3-0348-0571-1 (Print) 978-3-0348-0572-8 (Online)

Table of contents (14 chapters)

Front Matter

Pages i-x

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Analysis on Symmetric Spaces
1. Front Matter
  
  Pages 1-2
  
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2. Book Chapter
  
  Pages 3-42
  
  Preliminaries
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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3. Book Chapter
  
  Pages 43-83
  
  The Euclidean Case
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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4. Book Chapter
  
  Pages 85-110
  
  Symmetric Spaces of the Non-compact Type
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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5. Book Chapter
  
  Pages 111-134
  
  Analogies for Compact Two-point Homogeneous Spaces
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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6. Book Chapter
  
  Pages 135-156
  
  The Phase Space Associated to the Heisenberg Group
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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Offbeat Integral Geometry
1. Front Matter
  
  Pages 157-158
  
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2. Book Chapter
  
  Pages 159-228
  
  Functions with Zero Ball Means on Euclidean Space
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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3. Book Chapter
  
  Pages 229-264
  
  Two-radii Theorems in Symmetric Spaces
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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4. Book Chapter
  
  Pages 265-307
  
  The Problem of Findinga Function from Its Ball Means
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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5. Book Chapter
  
  Pages 309-357
  
  Sets with the Pompeiu Property
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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6. Book Chapter
  
  Pages 359-391
  
  Functions with Zero Integrals over Polytopes
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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7. Book Chapter
  
  Pages 393-433
  
  Ellipsoidal Means
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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8. Book Chapter
  
  Pages 435-496
  
  The Pompeiu Property on a Sphere
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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9. Book Chapter
  
  Pages 497-526
  
  The Pompeiu Transform on Symmetric Spaces and Groups
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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10. Book Chapter
  
  Pages 527-555
  
  Pompeiu Transforms on Manifolds
  - Valery V. Volchkov,
  - Vitaly V. Volchkov
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Back Matter

Pages 557-592

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