Results 71 to 80 of about 1,931 (172)

Differential operators on manifolds with singularities : analysis and topology : Chapter 4: Pseudodifferential operators

open access: yes, 2008
Contents: Chapter 4: Pseudodifferential Operators 4.1. Preliminary Remarks 4.1.1. Why are pseudodifferential operators needed? 4.1.2. What is a pseudodifferential operator? 4.1.3. What properties should the pseudodifferential calculus possess?
Savin, Anton   +3 more
core  

On the η‐function for bisingular pseudodifferential operators

open access: yesMathematische Nachrichten, 2016
In this work we consider the η‐invariant for pseudodifferential operators of tensor product type, also called bisingular pseudodifferential operators. We study complex powers of classical bisingular operators. We prove the trace property for the Wodzicki residue of bisingular operators and show how the residues of the η‐function can be expressed in ...
openaire   +2 more sources

Pseudodifferential operators on alpha-modulation spaces

open access: yes, 2004
We study expansions of pseudodifferential operators from the Hörmander class in a special family of functions called brushlets. We prove that such operators have a sparse representation in a brushlet system.
Borup, Lasse
core  

Pseudodifferential Operators on Noncommutative Tori: a Survey

open access: yes
This article presents a survey of recent developments on pseudodifferential operators on noncommutative tori. We describe currently available constructions of those operators: by means of a $C^*$--dynamical system, by using an analogue of the Fourier ...
Jiménez, Carolina Neira
core   +1 more source

On the Characterization of Pseudodifferential Operators (Old and New)

open access: yes, 2013
International audienceIn the framework of the Weyl-Hörmander calculus, under a condition of "geodesic temperance", pseudodifferential operators can be characterized by the boundedness of their iterated commutators.
Jean-Michel Bony, Bony, Jean-Michel
core   +1 more source

Weyl's Law for the Steklov Problem on Surfaces with Rough Boundary. [PDF]

open access: yesArch Ration Mech Anal, 2023
Karpukhin M, Lagacé J, Polterovich I.
europepmc   +1 more source

Pseudodifferential operators on differential groupoids

open access: yes, 1999
We construct an algebra of pseudodifferential operators on each groupoid in a class that generalizes differentiable group-oids to allow manifolds with corners. We show that this con-struction encompasses many examples.
Victor Nistor, Ping Xu, Alan Weinstein
core  

Fibrations, Compactifications And Algebras Of Pseudodifferential Operators

open access: yes, 2007
. Some recent, and some new, results on the structure of algebras of pseudodifferential operators on compact manifolds with boundary are discussed. In particular their relationship to compactifications of noncompact spaces is emphasized.
Richard B. Melrose
core  

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