Results 171 to 180 of about 1,062,474 (215)

Rough pseudodifferential operators on Hardy spaces for Fourier integral operators

Journal d'Analyse Mathematique, 2020
We prove mapping properties of pseudodifferential operators with rough symbols on Hardy spaces for Fourier integral operators. The symbols a ( x,η ) are elements of C _* ^ r S _1, δ ^ m classes that have limited regularity in the x variable. We show that
J. Rozendaal
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4 Pseudodifferential operators

Time-Frequency Analysis of Operators, 2020
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Automorphic Pseudodifferential Operators

1997
The theme of this paper is the correspondence between classical modular forms and pseudodifferential operators (ΨDO’s) which have some kind of automorphic behaviour. In the simplest case, this correspondence is as follows. Let Γ be a discrete subgroup of PSL 2(ℝ) acting on the complex upper half-plane H in the usual way, and f(z) a modular form of even
Cohen, P., Manin, Y., Zagier, D. ; https://orcid.org/0009-0007-6199-9283   +2 more
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Magnetic pseudodifferential operators represented as generalized Hofstadter-like matrices

Journal of Pseudo-Differential Operators and Applications, 2018
First, we reconsider the magnetic pseudodifferential calculus and show that for a large class of non-decaying symbols, their corresponding magnetic pseudodifferential operators can be represented, up to a global gauge transform, as generalized Hofstadter-
H. Cornean, Henrik Garde, Benjamin Støttrup, K. S. Sørensen   +3 more
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NONDEGENERATE SUBELLIPTIC PSEUDODIFFERENTIAL OPERATORS

Mathematics of the USSR-Sbornik, 1970
In this paper we study scalar pseudodifferential operators for which the gradient of the principal part of the symbol does not vanish and is not proportional to a real vector at any characteristic point . Such operators are called nondegenerate. It is assumed in addition that for each point of there exists an operator in the Lie algebra generated by ...
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Pseudodifferential Operators as Integral Operators

2021
All of the integral operators with nonintegrable kernels are given in terms of computable Hadamard's partie finie, i.e. finite part integrals [168], which can be applied to problems in applications (Guiggiani [163], Schwab et al [380]).
George C. Hsiao, Wolfgang L. Wendland
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Characterization of Non-Smooth Pseudodifferential Operators

, 2015
Smooth pseudodifferential operators on $$\mathbb {R}^{n}$$Rn can be characterized by their mapping properties between $$L^p-$$Lp-Sobolev spaces due to Beals and Ueberberg.
H. Abels, Christine Pfeuffer
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Generation of Semigroups for Vector-Valued Pseudodifferential Operators on the Torus

, 2015
We consider toroidal pseudodifferential operators with operator-valued symbols, their mapping properties and the generation of analytic semigroups on vector-valued Besov and Sobolev spaces. Here, we restrict ourselves to pseudodifferential operators with
B. Martínez, R. Denk, Jairo Hernández Monzón, Tobias Nau   +3 more
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Pseudodifferential Operators and Linear Connections

Proceedings of the London Mathematical Society, 1997
The aim of the paper is to construct a calculus of pseudodifferential operators (PDOs) on a smooth manifold \(M\) without using local coordinate systems. Instead we deal with linear connections \(\Gamma\) of \(M\). The fact that a linear connection \(\Gamma\) is a global object enables one to associate with a PDO its full symbol, which is a function on
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Periodic Pseudodifferential Operators

2002
In this chapter we present a systematic theory of periodic pseudodifferential operators. In next chapters the pseudodifferential structure of periodic integral operators will be extensively used by constructing fast solvers for integral equations.
Jukka Saranen, Gennadi Vainikko
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