Restriction theorem fails for the Fourier-Hermite transform associated with the normalized Hermite polynomials with respect to a discrete surface
DOI10.1007/S00025-023-02030-1zbMath1527.35328OpenAlexW4387805456MaRDI QIDQ6063193
Publication date: 7 November 2023
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-023-02030-1
Strichartz estimateOrnstein-Uhlenbeck operatorrestriction theoremFourier-Hermite transformOrnstein-Uhlenbeck-Schrödinger equation
Smoothness and regularity of solutions to PDEs (35B65) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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- Fourier Analysis and Nonlinear Partial Differential Equations
- Strichartz Estimates for the Schrödinger Equation
- Gaussian Harmonic Analysis
- The orthonormal Strichartz inequality on torus
- A restriction theorem for the Fourier transform
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