Results 21 to 30 of about 11,357 (198)
Pseudodifferential operators on $L^p$, Wiener amalgam and modulation spaces [PDF]
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]
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
The authors establish the weighted Lp estimates for a class of pseudodifferential operators for both cases ...
Yan Lin +3 more
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Banach algebras of pseudodifferential operators and their almost diagonalization [PDF]
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
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
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On the geometry of $Diff(S^1)$-pseudodifferential operators based on renormalized traces.
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
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Rational matrix pseudodifferential operators [PDF]
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
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
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Pseudodifferential operators with complex arguments and Cauchy problem
"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
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

