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

共 33 条

[1] Restriction Theorem Fails for the Fourier–Hermite Transform Associated with the Normalized Hermite Polynomials with Respect to a Discrete Surface
Sunit Ghosh
Jitendriya Swain
Results in Mathematics, 2024, 79
[2] Restriction theorem for the Fourier-Hermite transform and solution of the Hermite-Schrodinger equation
Mondal, Shyam Swarup
Swain, Jitendriya
ADVANCES IN OPERATOR THEORY, 2022, 7 (04)
[3] Restriction theorem for the Fourier-Hermite transform and solution of the Hermite-Schrodinger equation (vol 7, 44, 2022)
Mondal, Shyam Swarup
Swain, Jitendriya
ADVANCES IN OPERATOR THEORY, 2023, 8 (03)
[4] Restriction theorem for the Fourier–Hermite transform and solution of the Hermite–Schrödinger equation
Shyam Swarup Mondal
Jitendriya Swain
Advances in Operator Theory, 2022, 7
[5] Discrete Fourier Transform and Extended Modified Hermite Polynomials
Malekar, R. A.
MATHEMATICAL ANALYSIS AND ITS APPLICATIONS, 2015, 143 : 557 - 563
[6] Correction: Restriction theorem for the Fourier–Hermite transform and solution of the Hermite–Schrödinger equation
Shyam Swarup Mondal
Jitendriya Swain
Advances in Operator Theory, 2023, 8
[7] COMPARISON OF FOURIER-HERMITE AND POWER TRANSFORM SOLUTIONS OF NONLINEAR VLASOV EQUATION
EMERY, MH
JOYCE, G
JOURNAL OF COMPUTATIONAL PHYSICS, 1973, 11 (04) : 493 - 506
[8] An extension of the Cameron-Martin translation theorem via Fourier-Hermite functionals
Lee, Un Gi
Choi, Jae Gil
ARCHIV DER MATHEMATIK, 2020, 115 (06) : 679 - 689
[9] Dual of 2D Fractional Fourier Transform Associated to Itô–Hermite Polynomials
Abdelhadi Benahmadi
Allal Ghanmi
Results in Mathematics, 2020, 75
[10] On continuous q-Hermite polynomials and the classical Fourier transform
Atakishiyeva, M. K.
Atakishiyev, N. M.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (12)

← 1 2 3 4 →