Results 211 to 220 of about 3,215 (245)

A Characterization of Fredholm Pseudo-Differential Operators

Journal of the London Mathematical Society, 1997
The authors consider a pseudo-differential operator \(p(x,D)\) in \(\mathbb{R}^n\) with symbol satisfying for \(m>0\): \[ |D^\alpha_x D^\beta_\eta p(x,\eta)|\leq C_{\alpha\beta}(1+ |x|)^{-|\alpha|}(1+ |\eta|)^{m-|\beta|} \] and \[ |p(x,\eta)|\geq C(1+ |\eta|)^m\quad\text{for }|\eta|> R.
Fan, Qihong, Wong, M. W.
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Pseudo-Differential Operators

2013
Pseudo-differential operators are important generalization of differential operators. These operators were first introduced in 1960 by Friedrichs and Lax in the study of singular integral differential operators, mainly, for inverting differential operators to solve differential equations.
openaire   +1 more source

An algebra of pseudo‐differential operators

Communications on Pure and Applied Mathematics, 1965
Kohn, J. J., Nirenberg, Louis
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A problem of nirenberg on pseudo‐differential operators

Communications on Pure and Applied Mathematics, 1970
Consider a \(C^\infty\)-function \(p(x, \xi)\) in \(R_x^n\times R_\xi^n\) which satisfies the conditions: I. \(\vert p(x, \xi)\vert \le C\) for a constant \(C\), and II. for any \(a\) and \(N>0\) there exists a constant \(M_{\alpha,N}>0\) such that, for any \(\beta\), \(\vert\beta\vert \ge M_{\alpha,N}\), \[ \left\vert \partial_x^\alpha \partial_\xi ...
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L μ p -spectra of pseudo-differential operators associated with the Bessel operator

Bulletin Des Sciences Mathematiques, 2021
S K Upadhyay
exaly  

Non-Haar p-adic wavelets and their application to pseudo-differential operators and equations

Applied and Computational Harmonic Analysis, 2010
A Yu Khrennikov, V M Shelkovich
exaly  

Hilbert-Schmidt and Trace class pseudo-differential operators on the abstract Heisenberg group

Journal of Mathematical Analysis and Applications, 2020
Aparajita Dasgupta, Vishvesh Kumar
exaly  

PSEUDO-DIFFERENTIAL OPERATORS

Bulletin of the London Mathematical Society, 1983
openaire   +1 more source

Symbolic Calculus and Boundedness of Multi-parameter and Multi-linear Pseudo-differential Operators

Advanced Nonlinear Studies, 2014
Guozhen Lu
exaly  

On the Schatten–von Neumann properties of some pseudo-differential operators

Journal of Functional Analysis, 2014
Alexander Sobolev
exaly