Pseudodifferential operators

Pseudodifferential operators on differential groupoids

Pacific Journal of Mathematics ◽

10.2140/pjm.1999.189.117 ◽

1999 ◽

Vol 189 (1) ◽

pp. 117-152 ◽

Cited By ~ 77

Author(s):

Victor Nistor ◽

Alan Weinstein ◽

Ping Xu

Keyword(s):

Pseudodifferential Operators

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Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective

Theoretical and Mathematical Physics ◽

10.1007/s11232-013-0011-7 ◽

2013 ◽

Vol 174 (1) ◽

pp. 134-153 ◽

Cited By ~ 13

Author(s):

G. F. Helminck ◽

A. G. Helminck ◽

E. A. Panasenko

Keyword(s):

Pseudodifferential Operators ◽

Integrable Deformations

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Automorphic pseudodifferential operators and vector bundles

Complex Variables Theory and Application An International Journal ◽

10.1080/02781070310001617583 ◽

2003 ◽

Vol 48 (11) ◽

pp. 937-945

Author(s):

Min Ho Lee

Keyword(s):

Vector Bundles ◽

Pseudodifferential Operators

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Subelliptic estimates for certain complexes of pseudodifferential operators

Journal of Differential Equations ◽

10.1016/0022-0396(86)90120-8 ◽

1986 ◽

Vol 61 (2) ◽

pp. 250-267 ◽

Cited By ~ 1

Author(s):

David Hecker ◽

W.J. Sweeney

Keyword(s):

Pseudodifferential Operators

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INFINITE-DIMENSIONAL PSEUDODIFFERENTIAL OPERATORS

Mathematics of the USSR-Izvestiya ◽

10.1070/im1988v031n03abeh001090 ◽

1988 ◽

Vol 31 (3) ◽

pp. 575-601 ◽

Cited By ~ 7

Author(s):

A Yu Khrennikov

Keyword(s):

Pseudodifferential Operators ◽

Infinite Dimensional

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On an algebra of pseudodifferential operators

Sbornik Mathematics ◽

10.1070/sm1995v186n07abeh000049 ◽

1995 ◽

Vol 186 (7) ◽

pp. 929-940

Author(s):

Kha Zuĭ Bang

Keyword(s):

Pseudodifferential Operators

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Composition of pseudodifferential operators associated with fractional Hankel–Clifford integral transformations

Applicable Analysis ◽

10.1080/00036811.2015.1073264 ◽

2015 ◽

Vol 95 (8) ◽

pp. 1792-1807 ◽

Cited By ~ 8

Author(s):

Akhilesh Prasad ◽

Praveen Kumar

Keyword(s):

Pseudodifferential Operators ◽

Integral Transformations

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Spectral invariance for pseudodifferential operators on weighted function spaces

manuscripta mathematica ◽

10.1007/bf02567616 ◽

1994 ◽

Vol 83 (1) ◽

pp. 315-325 ◽

Cited By ~ 4

Author(s):

Hans-Gerd Leopold ◽

Hans Triebel

Keyword(s):

Pseudodifferential Operators ◽

Function Spaces ◽

Weighted Function ◽

Spectral Invariance ◽

Weighted Function Spaces

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On some properties of a class of degenerate pseudodifferential operators

Doklady Mathematics ◽

10.1134/s106456241501007x ◽

2015 ◽

Vol 91 (1) ◽

pp. 23-25 ◽

Cited By ~ 4

Author(s):

A. D. Baev ◽

P. A. Kobylinskii

Keyword(s):

Pseudodifferential Operators

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Correct Indirect Discrete-Continual Boundary Element Method of Structural Analysis

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.671-674.1614 ◽

2013 ◽

Vol 671-674 ◽

pp. 1614-1618 ◽

Cited By ~ 3

Author(s):

Pavel A. Akimov

Keyword(s):

Fourier Series ◽

Structural Analysis ◽

Boundary Element Method ◽

Boundary Element ◽

Pseudodifferential Operators ◽

Geometrical Parameters ◽

Resolving Set ◽

Indirect Approach ◽

Operational Formulation ◽

Element Method

This paper is devoted to so-called indirect discrete-continual boundary element method of structural analysis. Operational formulation of the problem is given. Using fundamental operational relations of indirect approach after construction of corresponding fundamental matrix-function in a special form convenient for problems of structural mechanics and its application resolving set of differential equations with operational coefficients is obtained. The discrete-continual design model for structures with constant physical and geometrical parameters in one direction is offered on the basis of so-called discrete-continual boundary elements. Basic pseudodifferential operators are approximated discretely by Fourier series. Fourier transformations and Wavelet analysis can be applied as well.

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