Abstract
Generalizing Lemma 28 from Newton's "Principia" [25], Arnold [10] asked for a complete characterization of algebraically integrable domains. In this chapter we describe the current state of Arnold's problems. We also consider closely related problems involving the Radon transform of indicator functions.
Original language | English |
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Title of host publication | Harmonic Analysis and Convexity |
Publisher | de Gruyter |
Pages | 1-36 |
Number of pages | 36 |
ISBN (Electronic) | 9783110775389 |
ISBN (Print) | 9783110775372 |
DOIs | |
State | Published - 24 Jul 2023 |
Bibliographical note
Publisher Copyright:© 2023 Walter de Gruyter GmbH, Berlin/Boston. All rights reserved.
Keywords
- Analytic continuation
- Convex body
- Fourier transform
- Integrability
- Monodromy
- Picard-Lefschetz theory
- Radon transform