Restriction Theorem Fails for the Fourier-Hermite Transform Associated with the Normalized Hermite Polynomials with Respect to a Discrete Surface

被引：0

作者：

Ghosh, Sunit ^{[1
]}

Swain, Jitendriya ^{[1
]}

机构：

[1] IIT Guwahati, Dept Math, Gauhati 781039, Assam, India

来源：

RESULTS IN MATHEMATICS | 2024年 / 79卷 / 01期

关键词：

Fourier-Hermite transform; Restriction theorem; Strichartz estimate; Ornstein-Uhlenbeck operator; Ornstein-Uhlenbeck-Schrodinger equation;

D O I：

10.1007/s00025-023-02030-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the article is to show the invalidity of the Strichartz estimate for the free Schrodinger equation associated with the Ornstein-Uhlenbeck operator L = -1/2 Delta+ < x, del > in R-n. As a consequence we obtain a negative answer to the Fourier-Hermite restriction problem associated with the normalized Hermite polynomials for a discrete surface in Z x N-0(n).

引用

页数：8

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