Bergman-Toeplitz and pseudodifferential operators

2000 ◽  
pp. 207-234
Author(s):  
V. Rabinovich ◽  
N. Vasilevski
Keyword(s):  
Pseudodifferential Operators

Pseudodifferential operators on differential groupoids

1999 ◽  
Vol 189 (1) ◽  
pp. 117-152 ◽  
Author(s):  
Victor Nistor ◽  
Alan Weinstein ◽  
Ping Xu
Keyword(s):  
Pseudodifferential Operators

On some properties of a class of degenerate pseudodifferential operators

2015 ◽  
Vol 91 (1) ◽  
pp. 23-25 ◽  
Author(s):  
A. D. Baev ◽  
P. A. Kobylinskii
Keyword(s):  
Pseudodifferential Operators

Correct Indirect Discrete-Continual Boundary Element Method of Structural Analysis

2013 ◽  
Vol 671-674 ◽  
pp. 1614-1618 ◽  
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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