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Globally Bisingular Elliptic Operators
The main goal of this work is to extend the notion of bisingular pseudo-differential operators, already introduced on compact manifolds, to Shubin...
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Magnetic Relativistic Schrödinger Operators and Imaginary-time Path Integrals
Three magnetic relativistic Schrodinger operators corresponding to the classical relativistic Hamiltonian symbol with magnetic vector and electric...
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Multiplication Properties in Gelfand–Shilov Pseudo-differential Calculus
We consider modulation space and spaces of Schatten–von Neumann symbols where corresponding pseudo-differential operators map one Hilbert space to...
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On an equation being a fractional differential equation with respect to time and a pseudo-differential equation with respect to space related to Lévy-type processes
It is with great pleasure that we dedicate this paper to Professor Rudolf Gorenflo. In particular, the second named author wants to express his...
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Continuity of Spectra in Rieffel’s Pseudodifferential Calculus
Using the fact that Rieffel’s quantization sends covariant continuous fields of $$C^*...
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A Szegő Limit Theorem for Operators with Discontinuous Symbols in Higher Dimensions: Widom’s Conjecture
Relying on the known two-term asymptotic formula for the trace of the function f(A) of a truncated Wiener–Hopf-type operator A in dimension 1, in...
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Some results and problems on commutators
In this paper, the author introduces some late results and puts forward a few problems on commutators of many important operators in harmonic...
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Pseudodifferential Operators on Periodic Graphs
The main aim of the paper is Fredholm properties of a class of bounded linear operators acting on weighted Lebesgue spaces on an infinite metric...
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Analysis of spectral properties of operators for linearized steady-state equations of a viscous compressible heat-conducting fluid
The spectrum of operators for linearized steady-state equations of a viscous, compressible, heat-conducting fluid is studied. Using the factorization...
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Weyl Rule and Pseudo-Differential Operators for Arbitrary Operators
The standard rules of association between functions and operators, such as the Weyl rule, deal with the operators x and...
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Supports of Representations in the Cohen Class
In this paper we consider a version of the uncertainty principle concerning limitations on the supports of time-frequency representations in the...
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On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem
We consider a class of nonlocal operators associated with an action of a compact Lie group G on a smooth closed manifold. Ellipticity condition and...
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Some Remarks on Localization Operators
In this paper we present a new technique to prove optimal boundedness results for localization operators acting on Wiener amalgam spaces and, in...
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Local Exponential Estimates for h-Pseudo-Differential Operators with Operator-Valued Symbols
We consider the class of h-pseudo-differential operators $$\begin{array}{lcr}...
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Pointwise estimates of pseudo-differential operators
As a new technique it is shown how general pseudo-differential operators can be estimated at arbitrary points in Euclidean space when acting on...
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Generic Local Uniqueness and Stability in Polarization Tomography
The problem of polarization tomography is considered on a Riemannian manifold. This problem comes from the physical problem of recovering the...
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Explicit Green operators for quantum mechanical Hamiltonians. I. The hydrogen atom
We study a new approach to determine the asymptotic behaviour of quantum many-particle systems near coalescence points of particles which interact...