[图书][B] Time-frequency analysis of operators

E Cordero, L Rodino - 2020 - books.google.com
This authoritative text studies pseudodifferential and Fourier integral operators in the
framework of time-frequency analysis, providing an elementary approach, along with …

Multi-parameter maximal Fourier restriction

A Bulj, V Kovač - Journal of Fourier Analysis and Applications, 2024 - Springer
The main result of this note is the strengthening of a quite arbitrary a priori Fourier restriction
estimate to a multi-parameter maximal estimate of the same type. This allows us to discuss a …

On the Cauchy problem for the Hartree type equation in the Wiener algebra

R Carles, L Mouzaoui - Proceedings of the American Mathematical Society, 2014 - ams.org
We consider the mass-subcritical Hartree equation with a homogeneous kernel in the space
of square integrable functions whose Fourier transform is integrable. We prove a global well …

[PDF][PDF] Strichartz estimates on α-modulation spaces

W Guo, J Chen - Electron. J. Differential Equations, 2013 - researchgate.net
STRICHARTZ ESTIMATES ON α-MODULATION SPACES 1. Introduction We study the
Cauchy problem for the Schrödinger type equation iut Page 1 Electronic Journal of …

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

S Ghosh, J Swain - Results in Mathematics, 2024 - Springer
The aim of the article is to show the invalidity of the Strichartz estimate for the free
Schrödinger equation associated with the Ornstein–Uhlenbeck operator L=-1 2 Δ+⟨ x,∇⟩ in …

Estimates for homogenous Fourier multipliers and multiparameter maximal Fourier restriction

A Bulj - 2023 - dr.nsk.hr
The thesis studies two problems in harmonic analysis–sharp estimates for the norms of the
powers of multipliers associated with unimodular homogeneous symbols and the multi …

Continuity of pseudodifferential operators with nonsmooth symbols on mixed-norm Lebesgue spaces

I Ivec - arXiv preprint arXiv:2205.09631, 2022 - arxiv.org
Mixed-norm Lebesgue spaces found their place in the study of some questions in the theory
of partial differential equations, as can be seen from recent interest in the continuity of …

Perturbed Hamiltonians in one dimension: analysis for linear and nonlinear Schrödinger problems

A Giammetta - 2017 - tesidottorato.depositolegale.it
The aim of this thesis is to present some results concerning with questions related to the
perturbed linear and nonlinear Schrödinger problems. The perturbation is represented by a …

De Gruyter Studies in Mathematics

N Fusco, Z Li, KH Neeb - degruyter.com
Karl H. Hofmann, Sidney A. Morris The Structure of Compact Groups Page 1 Karl H.
Hofmann, Sidney A. Morris The Structure of Compact Groups Page 2 De Gruyter Studies in …

[PDF][PDF] On the space-time integrability properties of the solution of the inhomogeneous Schrödinger equation

AA ABDELHAKIM MOUHAMED - 2013 - sfera.unife.it
Let u (t, x) be the fundamental solution to the Cauchy problem associated with the free linear
inhomogeneous Schrödinger equation ı∂ tu (t, x)+∆ xu (t, x)= F (t, x),(t, x)∈ R× Rn, u (0, x) …