Modulation spaces with scaling symmetry

Arpad Benyi; Tadahiro Oh

doi:10.1016/j.acha.2019.04.005

Modulation spaces with scaling symmetry

Arpad Benyi, Tadahiro Oh

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We indicate how to construct a family of modulation spaces that have a scaling symmetry. We also illustrate the behavior of the Schrödinger multiplier on such function spaces.

Original language	English
Pages (from-to)	496–507
Number of pages	12
Journal	Applied and Computational Harmonic Analysis
Volume	48
Issue number	1
Early online date	24 Apr 2019
DOIs	https://doi.org/10.1016/j.acha.2019.04.005
Publication status	Published - 31 Jan 2020

Keywords

Modulation spaces
Besov spaces
modulation symmetry
dilation symmetry
Schrödinger multiplier

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10.1016/j.acha.2019.04.005

BenyiOh_mod_acceptedAccepted author manuscript, 324 KBLicence: Creative Commons: Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND)

https://arxiv.org/abs/1806.08587

ProbDynDispEq - Probabilistic and Dynamical Study of Nonlinear Dispersive Equations
Oh, T.
EU government bodies
1/03/15 → 29/02/20
Project: Research

Cite this

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title = "Modulation spaces with scaling symmetry",

abstract = "We indicate how to construct a family of modulation spaces that have a scaling symmetry. We also illustrate the behavior of the Schr{\"o}dinger multiplier on such function spaces.",

keywords = "Modulation spaces, Besov spaces, modulation symmetry, dilation symmetry, Schr{\"o}dinger multiplier",

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AB - We indicate how to construct a family of modulation spaces that have a scaling symmetry. We also illustrate the behavior of the Schrödinger multiplier on such function spaces.

KW - Modulation spaces

KW - Besov spaces

KW - modulation symmetry

KW - dilation symmetry

KW - Schrödinger multiplier

U2 - 10.1016/j.acha.2019.04.005

DO - 10.1016/j.acha.2019.04.005

M3 - Article

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EP - 507

JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

SN - 1063-5203

IS - 1

ER -

Modulation spaces with scaling symmetry

Abstract

Keywords

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Projects

ProbDynDispEq - Probabilistic and Dynamical Study of Nonlinear Dispersive Equations

Cite this