Fourier Analysis and Convexity
Over the course of the last century, the systematic exploration of the relationship between Fourier analysis and other branches of mathematics has lead to important advances in geometry, number theory, and analysis, stimulated in part by Hurwitz’s proof of the isoperimetric inequality using Fourier...
| Other Authors: | , , , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser
2004, 2004
|
| Edition: | 1st ed. 2004 |
| Series: | Applied and Numerical Harmonic Analysis
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Lattice Point Problems: Crossroads of Number Theory, Probability Theory and Fourier Analysis
- Totally Geodesic Radon Transform of LP-Functions on Real Hyperbolic Space
- Fourier Techniques in the Theory of Irregularities of Point Distribution
- Spectral Structure of Sets of Integers
- 100 Years of Fourier Series and Spherical Harmonics in Convexity
- Fourier Analytic Methods in the Study of Projections and Sections of Convex Bodies
- The Study of Translational Tiling with Fourier Analysis
- Discrete Maximal Functions and Ergodic Theorems Related to Polynomials
- What Is It Possible to Say About an Asymptotic of the Fourier Transform of the Characteristic Function of a Two-dimensional Convex Body with Nonsmooth Boundary?
- SomeRecent Progress on the Restriction Conjecture
- Average Decayof the Fourier Transform