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Spherical harmonic expansion
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Classroom Contents
Vlad Yaskin- A Solution to the 5th and 8th Busemann-Petty Problems Near the Euclidean Ball
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- 1 Intro
- 2 BusemannPetty problems
- 3 Basic definitions
- 4 Curvature function
- 5 Problem number 5
- 6 Problem number 8
- 7 Observations on condition 1
- 8 Geometric interpretation of problem 5
- 9 What is known about these problems
- 10 Examples
- 11 Proof
- 12 Observations
- 13 Radon transform
- 14 Condition
- 15 Radium transform
- 16 Second order harmonics
- 17 Small harmonics
- 18 Spherical harmonic expansion
- 19 The head and tail
- 20 The 8th problem
- 21 A simpler equation
- 22 A contraction
- 23 Summary
- 24 Solution
