Results 181 to 190 of about 6,202 (215)

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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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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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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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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An algebra of pseudo‐differential operators

Communications on Pure and Applied Mathematics, 1965
Kohn, J. J., Nirenberg, Louis
openaire   +1 more source

L μ p -spectra of pseudo-differential operators associated with the Bessel operator

Bulletin Des Sciences Mathematiques, 2021
S K Upadhyay
exaly  

Pseudo-differential operator related to Hankel transform on Gelfand–Shilov spaces of type W

Advances in Operator Theory, 2021
Kanailal Mahato, Mahato Kanailal
exaly  

Mapping properties of pseudo‐differential operator on the spaces of type Gelfand‐Shilov

Mathematical Methods in the Applied Sciences, 2021
Kanailal Mahato
exaly  

Lpμ-Boundedness of the Pseudo-differential Operator Associated with the Bessel Operator

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

Continuity of Pseudo-differential Operators Associated with the Bessel Operator in Some Gevrey Spaces

Applicable Analysis, 2002
R S Pathak, Akhilesh Prasad
exaly