A Beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames

Decebal Horia Cornean; Bernard  Helffer; Radu Purice

doi:10.1080/03605302.2018.1499777

A Beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames

Decebal Horia Cornean, Bernard Helffer, Radu Purice

Research output: Contribution to journal › Journal article › Research › peer-review

5 Citations (Scopus)

Abstract

First, we give a new proof for the Beals commutator criterion for non-magnetic Weyl pseudo-differential operators based on classical Gabor tight frames. Second, by introducing a modified ‘magnetic’ Gabor tight frame, we naturally derive the magnetic analogue of the Beals criterion originally considered by Iftimie-Măntoiu-Purice.

Original language	English
Journal	Communications in Partial Differential Equations
Volume	43
Issue number	8
Pages (from-to)	1196-1204
Number of pages	9
ISSN	0360-5302
DOIs	https://doi.org/10.1080/03605302.2018.1499777
Publication status	Published - 2018

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10.1080/03605302.2018.1499777

https://arxiv.org/pdf/1804.05220.pdf

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title = "A Beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames",

abstract = "First, we give a new proof for the Beals commutator criterion for non-magnetic Weyl pseudo-differential operators based on classical Gabor tight frames. Second, by introducing a modified {\textquoteleft}magnetic{\textquoteright} Gabor tight frame, we naturally derive the magnetic analogue of the Beals criterion originally considered by Iftimie-M{\u a}ntoiu-Purice.",

keywords = "Beals criterion, Gabor frames, magnetic pseudo-differential calculus",

author = "Cornean, {Decebal Horia} and Bernard Helffer and Radu Purice",

year = "2018",

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T1 - A Beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames

AU - Cornean, Decebal Horia

AU - Helffer, Bernard

AU - Purice, Radu

PY - 2018

Y1 - 2018

N2 - First, we give a new proof for the Beals commutator criterion for non-magnetic Weyl pseudo-differential operators based on classical Gabor tight frames. Second, by introducing a modified ‘magnetic’ Gabor tight frame, we naturally derive the magnetic analogue of the Beals criterion originally considered by Iftimie-Măntoiu-Purice.

AB - First, we give a new proof for the Beals commutator criterion for non-magnetic Weyl pseudo-differential operators based on classical Gabor tight frames. Second, by introducing a modified ‘magnetic’ Gabor tight frame, we naturally derive the magnetic analogue of the Beals criterion originally considered by Iftimie-Măntoiu-Purice.

KW - Beals criterion

KW - Gabor frames

KW - magnetic pseudo-differential calculus

UR - http://www.scopus.com/inward/record.url?scp=85057309154&partnerID=8YFLogxK

U2 - 10.1080/03605302.2018.1499777

DO - 10.1080/03605302.2018.1499777

M3 - Journal article

SN - 0360-5302

VL - 43

SP - 1196

EP - 1204

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 8

ER -

A Beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames

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