Details
| Original language | English |
|---|---|
| Pages (from-to) | 99-110 |
| Number of pages | 12 |
| Journal | Manuscripta mathematica |
| Volume | 78 |
| Issue number | 1 |
| Publication status | Published - Dec 1993 |
| Externally published | Yes |
Abstract
The algebra of pseudodifferential operators with symbols in S(Formula presented.), δ<1, is shown to be a spectrally invariant subalgebra of ℒ(b(Formula presented.)) and ℒ(F(Formula presented.)). The spectrum of each of these pseudodifferential operators acting on B(Formula presented.) or F(Formula presented.) is independent of the choice of s, p, and q.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Manuscripta mathematica, Vol. 78, No. 1, 12.1993, p. 99-110.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Spectral invariance for algebras of pseudodifferential operators on besov-triebel-lizorkin spaces
AU - Leopold, Hans Gerd
AU - Schrohe, Elmar
N1 - Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1993/12
Y1 - 1993/12
N2 - The algebra of pseudodifferential operators with symbols in S(Formula presented.), δ<1, is shown to be a spectrally invariant subalgebra of ℒ(b(Formula presented.)) and ℒ(F(Formula presented.)). The spectrum of each of these pseudodifferential operators acting on B(Formula presented.) or F(Formula presented.) is independent of the choice of s, p, and q.
AB - The algebra of pseudodifferential operators with symbols in S(Formula presented.), δ<1, is shown to be a spectrally invariant subalgebra of ℒ(b(Formula presented.)) and ℒ(F(Formula presented.)). The spectrum of each of these pseudodifferential operators acting on B(Formula presented.) or F(Formula presented.) is independent of the choice of s, p, and q.
UR - http://www.scopus.com/inward/record.url?scp=0039217569&partnerID=8YFLogxK
U2 - 10.1007/BF02599303
DO - 10.1007/BF02599303
M3 - Article
AN - SCOPUS:0039217569
VL - 78
SP - 99
EP - 110
JO - Manuscripta mathematica
JF - Manuscripta mathematica
SN - 0025-2611
IS - 1
ER -