An expansion in terms of generalized eigenvectors and an integral representation for positive definite Kernels in the form of a continual integral

1968 ◽  
Vol 9 (5) ◽  
pp. 741-751 ◽  
Author(s):  
Yu. M. Berezanskii
Keyword(s):  
Integral Representation ◽  
Positive Definite ◽  
Positive Definite Kernels ◽  
Generalized Eigenvectors

scholarly journals Integral representation of positive definite kernels, associated with differential expression of second order of elliptic type

2017 ◽  
Vol 25 ◽  
pp. 51
Author(s):  
O.V. Lopotko
Keyword(s):  
Integral Representation ◽  
Differential Expression ◽  
Positive Definite ◽  
Second Order ◽  
Elliptic Type ◽  
Positive Definite Kernels

We obtain the integral representation of positive definite kernels of the two variables associated with differential expression of second order of elliptic type.

scholarly journals On the extension of positive definite kernels to topological algebras

2020 ◽  
Vol 61 (6) ◽  
pp. 063507
Author(s):  
Daniel Alpay ◽  
Ismael L. Paiva
Keyword(s):  
Positive Definite ◽  
Topological Algebras ◽  
Positive Definite Kernels

On eigenvalues of differentiable positive definite kernels

1999 ◽  
Vol 33 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Ching-Hua Chang ◽  
Chung-Wei Ha
Keyword(s):  
Positive Definite ◽  
Positive Definite Kernels

Integral representation of invariant positive-definite matrix kernels

1970 ◽  
Vol 21 (4) ◽  
pp. 418-427 ◽  
Author(s):  
Yu. S. Samoilenko ◽  
L. M. Korsunskii
Keyword(s):  
Integral Representation ◽  
Positive Definite Matrix ◽  
Positive Definite ◽  
Matrix Kernels
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