Composition formulas in the Weyl calculus

Toshiyuki Kobayashi; Bent Ørsted; Michael Pevzner; André Unterberger

doi:10.1016/j.jfa.2008.12.023

Composition formulas in the Weyl calculus

Toshiyuki Kobayashi, Bent Ørsted, Michael Pevzner, André Unterberger

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

6 Citationer (Scopus)

Abstract

In pseudodifferential analysis, the usual composition formula, which has asymptotic value, extends that valid for differential operators. The one developed here is based instead on the decomposition of symbols (functions in Rⁿ×Rⁿ) as integral superpositions of homogeneous ones, of degrees lying on the complex line with real part −n. It extends the one known in the one-dimensional case in connection with automorphic pseudodifferential analysis.

Originalsprog	Engelsk
Tidsskrift	Journal of Functional Analysis
Vol/bind	257
Nummer	4
Sider (fra-til)	948-991
Antal sider	44
ISSN	0022-1236
DOI	https://doi.org/10.1016/j.jfa.2008.12.023
Status	Udgivet - 2009

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10.1016/j.jfa.2008.12.023

Citationsformater

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title = "Composition formulas in the Weyl calculus",

abstract = "In pseudodifferential analysis, the usual composition formula, which has asymptotic value, extends that valid for differential operators. The one developed here is based instead on the decomposition of symbols (functions in Rn×Rn) as integral superpositions of homogeneous ones, of degrees lying on the complex line with real part −n. It extends the one known in the one-dimensional case in connection with automorphic pseudodifferential analysis.",

author = "Toshiyuki Kobayashi and Bent {\O}rsted and Michael Pevzner and Andr{\'e} Unterberger",

year = "2009",

doi = "10.1016/j.jfa.2008.12.023",

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T1 - Composition formulas in the Weyl calculus

AU - Kobayashi, Toshiyuki

AU - Ørsted, Bent

AU - Pevzner, Michael

AU - Unterberger, André

PY - 2009

Y1 - 2009

N2 - In pseudodifferential analysis, the usual composition formula, which has asymptotic value, extends that valid for differential operators. The one developed here is based instead on the decomposition of symbols (functions in Rn×Rn) as integral superpositions of homogeneous ones, of degrees lying on the complex line with real part −n. It extends the one known in the one-dimensional case in connection with automorphic pseudodifferential analysis.

AB - In pseudodifferential analysis, the usual composition formula, which has asymptotic value, extends that valid for differential operators. The one developed here is based instead on the decomposition of symbols (functions in Rn×Rn) as integral superpositions of homogeneous ones, of degrees lying on the complex line with real part −n. It extends the one known in the one-dimensional case in connection with automorphic pseudodifferential analysis.

U2 - 10.1016/j.jfa.2008.12.023

DO - 10.1016/j.jfa.2008.12.023

M3 - Journal article

SN - 0022-1236

VL - 257

SP - 948

EP - 991

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 4

ER -

Composition formulas in the Weyl calculus

Abstract

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