Results 261 to 270 of about 2,224,797 (293)

The total symbol of a pseudo-differential operator

Proceedings of the American Mathematical Society, 1971
This note presents a direct completely coordinate-free proof that the symbols of a pseudo-differential operator are differential operators whose coefficients are functions on the higher order cotangent bundles.
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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.
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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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Pseudo-differential operators

2018
Xiaochun Liu, Bert-Wolfgang Schulze
openaire   +1 more source

Lpμ-Boundedness of the Pseudo-Differential Operator Associated With the Bessel Operator

Journal of Mathematical Analysis and Applications, 2001
S K Upadhyay, R S Pathak
exaly  

An Integral Representation of Pseudo-Differential Operators Involving Weinstein Transform

Journal of Pseudo-Differential Operators and Applications, 2022
exaly  

Product of Two Generalized Pseudo-Differential Operators Involving Fractional Fourier Transform

Journal of Pseudo-Differential Operators and Applications, 2011
Manish Kumar, Akhilesh Prasad
exaly  

Quantization of Pseudo-Differential Operators on the Torus

Journal of Fourier Analysis and Applications, 2010
Michael Ruzhansky, Ville Turunen
exaly