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The Eta Invariant And Families Of Pseudodifferential Operators
 MR 96h:58169
, 1995
"... For a compact manifold without boundary a suspended algebra of pseudodierential operators is considered; it is an algebra of pseudodierential operators on, and translationinvariant in, an additional real variable. ..."
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Cited by 41 (7 self)
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For a compact manifold without boundary a suspended algebra of pseudodierential operators is considered; it is an algebra of pseudodierential operators on, and translationinvariant in, an additional real variable.
AN ELEMENTARY PROOF OF THE LOCALIZED SUBELLIPTIC ESTIMATES FOR NONDEGENERATE PSEUDODIFFERENTIAL OPERATORS OF PRINCIPAL TYPE*
"... It is given a short elementary proof of the localized subelliptic estimates for nondegenerate pseudodierential operators of principal type. 1. Introduction. There ..."
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It is given a short elementary proof of the localized subelliptic estimates for nondegenerate pseudodierential operators of principal type. 1. Introduction. There
Generalized AntiWick Operators with Symbols in Distributional Sobolev Spaces
 Integral Equations Operator Theory
, 2002
"... Generalized AntiWick operators are introduced as a class of pseudodierential operators which depend on a symbol and two dierent window functions. ..."
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Cited by 29 (17 self)
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Generalized AntiWick operators are introduced as a class of pseudodierential operators which depend on a symbol and two dierent window functions.
Bilinear pseudodifferential operators on modulation spaces
 J. Fourier Anal. Appl
, 2002
"... Abstract. We use the theory of Gabor frames to prove the boundedness of bilinear pseudodierential operators on products of modulation spaces. In particular, we show that bilinear pseudodierential operators corresponding to nonsmooth symbols in the Feichtinger algebra are bounded on products of mod ..."
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Cited by 5 (2 self)
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Abstract. We use the theory of Gabor frames to prove the boundedness of bilinear pseudodierential operators on products of modulation spaces. In particular, we show that bilinear pseudodierential operators corresponding to nonsmooth symbols in the Feichtinger algebra are bounded on products
On the Cauchy and multipoint problems for partial pseudodifferential equations of fractional order
, 2000
"... This paper is devoted to the Cauchy and multipoint value problems for par tial pseudodierential equations of fractional order The used pseudodierential operators are associated with the symbols which may have singularities The solvability theorems for these problems in the space Gp IR ..."
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Cited by 1 (0 self)
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This paper is devoted to the Cauchy and multipoint value problems for par tial pseudodierential equations of fractional order The used pseudodierential operators are associated with the symbols which may have singularities The solvability theorems for these problems in the space Gp IR
A semiclassical Egorov theorem and quantum ergodicity for matrix valued operators
, 2002
"... We study the semiclassical time evolution of observables given by matrix valued pseudodierential operators and construct a decomposition of the Hilbert space into a nite number of almost invariant subspaces. For a certain class of observables, that is preserved by the time evolution, we prov ..."
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Cited by 17 (4 self)
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We study the semiclassical time evolution of observables given by matrix valued pseudodierential operators and construct a decomposition of the Hilbert space into a nite number of almost invariant subspaces. For a certain class of observables, that is preserved by the time evolution, we
unknown title
"... X  compact boundaryless ndimensional manifold (closed). E  hermitian vector bundle over X. A  the `algebra ' of classical do's A acting in E. On pseudodierential operators: Recall that a dierential operator of order m 0 on Rn can be written: ..."
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X  compact boundaryless ndimensional manifold (closed). E  hermitian vector bundle over X. A  the `algebra ' of classical do's A acting in E. On pseudodierential operators: Recall that a dierential operator of order m 0 on Rn can be written:
Embeddings of some classical Banach spaces into modulation spaces
 Proc. Amer. Math. Soc
"... Abstract. We give sucient conditions for a tempered distribution to belong to certain modulation spaces by showing embeddings of some BesovTriebelLizorkin spaces into modulation spaces. As a consequence we have a new proof that the HölderLipschitz space Cs(Rd) embeds into the modulation space M1 ..."
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Cited by 21 (1 self)
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1;1(Rd) when s> d. This embedding plays an important role in interpreting recent modulation space approaches to pseudodierential operators. 1.
On The Mathematical Theory Of The AharonovBohm Effect
"... We consider the Schrodinger operator H = (ir +A) in the space L 2 (R ) with a magnetic potential A(x) = a(^x)( x 2 ; x 1 )jxj , where a is an arbitrary function on the unit circle. Our goal is to study spectral properties of the corresponding scattering matrix S(), > 0. We obtain it ..."
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Cited by 16 (3 self)
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its stationary representation and show that its singular part (up to compact terms) is a pseudodierential operator of zero order whose symbol is an explicit function of a. We deduce from this result that the essential spectrum of S() does not depend on and consists of two complex conjugated
Forum Math. 13 (2001), 51±90 Forum
"... applications to pseudodi¨erential operators with negative de®nite symbols ..."
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applications to pseudodi¨erential operators with negative de®nite symbols
Results 1  10
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