Results 21 to 30 of about 11,357 (198)

Pseudodifferential operators on $L^p$, Wiener amalgam and modulation spaces [PDF]

open access: yes, 2009
We give a complete characterization of the continuity of pseudodifferential operators with symbols in modulation spaces $M^{p,q}$, acting on a given Lebesgue space $L^r$.
Cordero, Elena, Nicola, Fabio
core   +3 more sources

On efficient quantum block encoding of pseudo-differential operators [PDF]

open access: yesQuantum, 2023
Block encoding lies at the core of many existing quantum algorithms. Meanwhile, efficient and explicit block encodings of dense operators are commonly acknowledged as a challenging problem.
Haoya Li, Hongkang Ni, Lexing Ying
doaj   +1 more source

Weighted Estimates for Toeplitz Operators Related to Pseudodifferential Operators

open access: yesJournal of Function Spaces, 2016
The authors establish the weighted Lp estimates for a class of pseudodifferential operators for both cases ...
Yan Lin   +3 more
doaj   +1 more source

Banach algebras of pseudodifferential operators and their almost diagonalization [PDF]

open access: yes, 2007
We define new symbol classes for pseudodifferntial operators and investigate their pseudodifferential calculus. The symbol classes are parametrized by commutative convolution algebras.
Gröchenig, Karlheinz   +1 more
core   +3 more sources

On L2-Boundedness of h-Pseudodifferential Operators

open access: yesJournal of Function Spaces, 2021
Let Tah be the h-pseudodifferential operators with symbol a. When a∈Sρ,1m and m=nρ−1/2, it is well known that Tah is not always bounded in L2ℝn. In this paper, under the condition ax,ξ∈L∞Sρnρ−1/2ω, we show that Tah is bounded on L2.
Jie Yang
doaj   +1 more source

On the geometry of $Diff(S^1)$-pseudodifferential operators based on renormalized traces.

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2021
In this article, we examine the geometry of a group of Fourier-integral operators, which is the central extension of $Diff(S^1)$ with a group of classical pseudo-differential operators of any order.
Jean-Pierre Magnot
doaj   +1 more source

Rational matrix pseudodifferential operators [PDF]

open access: yes, 2012
The skewfield K(d) of rational pseudodifferential operators over a differential field K is the skewfield of fractions of the algebra of differential operators K[d].
A Barakat   +7 more
core   +2 more sources

Bilinear Localization Operators on Modulation Spaces

open access: yesJournal of Function Spaces, 2018
We introduce a class of bilinear localization operators and show how to interpret them as bilinear Weyl pseudodifferential operators. Such interpretation is well known in linear case whereas in bilinear case it has not been considered so far.
Nenad Teofanov
doaj   +1 more source

Pseudodifferential operators with complex arguments and Cauchy problem

open access: yesMathematical Modelling and Analysis, 1996
"Pseudodifferential operators with complex arguments and Cauchy problem." Mathematical Modelling and Analysis, 1(1), p.
J. Dubinskii
doaj   +1 more source

Pseudodifferential operators on α-modulation spaces

open access: yesJournal of Function Spaces and Applications, 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.
Lasse Borup
doaj   +1 more source

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