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Continuity in Weighted Besov Spaces for Pseudodifferential Operators with Non-regular Symbols
The authors state and prove a result of continuity in weighted Besov spaces for a class of pseudodifferential operators whose symbol a(x, ξ) admits a...
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Systems of equations driven by stable processes
Let Z j t , j = 1, . . . , d , be independent one-dimensional symmetric stable processes of index α ∈ (0,2). We consider the system of stochastic...
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Pseudo-Differential Operators and Schatten-von Neumann Classes
For a Hörmander’s symbol classS(m g)it is proved that the weight m is in L p (ℝ2n...
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Continuity Properties for Modulation Spaces, with Applications to Pseudo-Differential Calculus, II
We discuss continuity for weighted modulation spaces, andprove that many such spaces can be obtained in a canonicalway from the corresponding...
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Well-Posedness in Sobolev Spaces for Second-Order Strictly Hyperbolic Equations with Nondifferentiable Oscillating Coefficients
The goal of this paper is to study well-posedness to strictly hyperbolic Cauchyproblems with non-Lipschitz coefficients with low regularity with...
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Pseudo-Differential Operators, Microlocal Analysis and Image Restoration
Pseudo-differential operators with symbols supported on sectors of dyadic annuli in the Fourier domain are used to perform microlocal analysis of...
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Differential Forms Canonically Associated to Even-Dimensional Compact Conformal Manifolds
On a 6-dimensional, conformal, oriented and compact manifold M without boundary we compute a whole family of differential forms Ω6(f, h) of order 6...
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Localization Operators Via Time-Frequency Analysis
A systematic overview of localization operators using a time-frequency approach is given. Sufficient and necessary regularity results for...
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Microlocal Analysis and Applications
We first give a short survey on the methods of Microlocal Analysis. In particular we recall some basic facts concerning the theory of...
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Convolutions and Embeddings for Weighted Modulation Spaces
Let M be the...
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Residue Traces for a Pseudodifferential Operator Algebra on Foliated Manifolds
In this paper a trace functional is defined for the algebra of classical anisotropic pseudo-differential operators on a compact foliated manifold....
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Toeplitz operators, and ellipticity of boundary value problems with global projection conditions
Ellipticity of (pseudo-)differential operators A on a compact manifold X with boundary (or with edge) Y is connected with boundary (or edge)...
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An Axiomatic Approach to the Limit Operators Method
We propose an axiomatic approach to the limit operators method. This approach will be applied to operators in a C*-algebra which is generated by...
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Parametrix construction for a class of anisotropic operators
We set Boutet de Monvel's Calculus for hypoelliptic operators (in the case of flat symplectic characteristic manifold) in a Weyl-Hörmander framework...
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Gelfand spaces and pseudodifferential operators of infinite order in ℝn
The aim of this work is to study a class of symbols of infinite order and to develop a global calculus for the corresponding pseudodifferential...
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Spectral Invariance and Submultiplicativity for the Algebras of S(M, g)-pseudo-differential Operators on Manifolds
For appropriate triples (M, g, M), where M is an (in general non-compact) manifold, g is a metric on T*M, and M is a weight function on T* M, we...
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An Approach to a Version of the S(M, g)-pseudo-differential Calculus on Manifolds
For appropriate triples (M,g,M), where M is an (in general non-compact) manifold, g is a metric on T* M, and M is a weight function on T* M, we...
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Perturbations of Pseudodifferential Operators with Negative Definite Symbol
Pseudodifferential operators with negative definite symbols appear as generators of jump-type Markov processes. The purpose of this paper is to...
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On the Factorization of Meromorphic Mellin Symbols
It is proved that meromorphic, parameter-dependent elliptic Mellin symbols can be factorized in a particular way. The proof depends on the...
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The Calculus of Volterra Mellin Pseudodifferential Operators with Operator-valued Symbols
We introduce the calculus of Mellin pseudodifferential operators with parameters based on “twisted” operator-valued Volterra symbols as well as the...