Fourier interpolation from spheres

DOI10.1090/tran/8440zbMath1475.42004arXiv2002.11627OpenAlexW3138919731MaRDI QIDQ5158107

Martin Stoller

Publication date: 21 October 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.11627

zbMATH Keywords

modular formFourier interpolationSchwartz classtheta group

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (7)

Perturbed Fourier uniqueness and interpolation results in higher dimensions ⋮ Fourier non-uniqueness sets from totally real number fields ⋮ Revisit on Heisenberg uniqueness pair for the hyperbola ⋮ From sphere packing to Fourier interpolation ⋮ Perturbed interpolation formulae and applications ⋮ On discrete Fourier uniqueness sets in Euclidean space ⋮ Uniqueness of solutions to nonlinear Schrödinger equations from their zeros

Cites Work

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• On Fourier transforms of radial functions and distributions
• Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Fourier uniqueness pairs of powers of integers
• An optimal uncertainty principle in twelve dimensions via modular forms
• The sphere packing problem in dimension 8
• The sphere packing problem in dimension \(24\)
• Fourier interpolation on the real line
• Differentiable even functions
• Harmonic Function Theory
• The vanishing of Poincaré series
• Some new results on the Eichler cohomology of automorphic forms
• Theta Relations with Spherical Harmonics
• On the non-vanishing of Poincaré series

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