[图书][B] Mittag-Leffler functions, related topics and applications

R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin - 2020 - Springer
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

[图书][B] Real analysis

B Simon - 2015 - books.google.com
A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume
set that can serve as a graduate-level analysis textbook with a lot of additional bonus …

The Faber–Krahn inequality for the short-time Fourier transform

F Nicola, P Tilli - Inventiones mathematicae, 2022 - Springer
In this paper we solve an open problem concerning the characterization of those
measurable sets Ω⊂ R 2 d that, among all sets having a prescribed Lebesgue measure, can …

Function spaces of polyanalytic functions

LD Abreu, HG Feichtinger - Harmonic and complex analysis and its …, 2014 - Springer
This article is meant as both an introduction and a review of some of the recent
developments on Fock and Bergman spaces of polyanalytic functions. The study of …

Fock–Sobolev spaces and their Carleson measures

HR Cho, K Zhu - Journal of Functional Analysis, 2012 - Elsevier
We study a class of holomorphic spaces Fp, m consisting of entire functions f on Cn such
that∂ αf is in the Fock space Fp for all multi-indices α with| α|⩽ m. We prove a useful Fourier …

Normal and isometric weighted composition operators on the Fock space

T Le - Bulletin of the London Mathematical Society, 2014 - academic.oup.com
Normal and isometric weighted composition operators on the Fock space | Bulletin of the
London Mathematical Society | Oxford Academic Skip to Main Content Advertisement Oxford …

Limits, series, and fractional part integrals

O Furdui - Problems in Mathematical Analysis Springer, New York, 2013 - Springer
This book is the fruit of my work in the last decade teaching, researching, and solving
problems. This volume offers an unusual collection of problems specializing in three topics …

A monotonicity theorem for subharmonic functions on manifolds

A Kulikov, F Nicola, J Ortega-Cerdà, P Tilli - arXiv preprint arXiv …, 2022 - arxiv.org
We provide a sharp monotonicity theorem about the distribution of subharmonic functions on
manifolds, which can be regarded as a new, measure theoretic form of the uncertainty …

Integral operators, embedding theorems and a Littlewood–Paley formula on weighted Fock spaces

O Constantin, JÁ Peláez - The Journal of Geometric Analysis, 2016 - Springer
We obtain a complete characterization of the entire functions gg such that the integral
operator (T_ gf)(z)= ∫ _ 0^ zf (ζ)\, g'(ζ)\, d ζ (T gf)(z)=∫ 0 zf (ζ) g′(ζ) d ζ is bounded or …

Stability of the Faber-Krahn inequality for the short-time Fourier transform

J Gómez, A Guerra, JPG Ramos, P Tilli - Inventiones mathematicae, 2024 - Springer
We prove a sharp quantitative version of the Faber–Krahn inequality for the short-time
Fourier transform (STFT). To do so, we consider a deficit δ (f; Ω) which measures by how …