An expansion in terms of generalized eigenvectors and an integral representation for positive definite Kernels in the form of a continual integral-Reference-Cited by-同舟云学术

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

Published:1968 Issue:5 Volume:9 Page:741-751
ISSN:0037-4466
Container-title:Siberian Mathematical Journal
language:en
Short-container-title:Sib Math J

Author:

Berezanskii Yu. M.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01041161.pdf

Reference6 articles.

1. K. Maurin, ?Eine Bemerkung zur allgemeinen Eigenfunktionsentwicklungen für vertauschbare Operatorensysteme beliebiger Mächtigkeit,? Bull. Acad. Polon. Sci., Ser. Math. Astron. et Phys.,8, No. 6, 381?384 (1960).

2. Yu.M. Berezanskii Eigenfunction Expansions for Selfadjoint Operators [in Russian], Naukova Dumka, Kiev (1955).

3. Yu.M. Berezanskii, ?Integral representation of Wightman type positive definite functionals,? Ukrainsk. Matem. Zh.,19, No. 1, 89?95 (1967).

4. Yu.M. Berezanskii, ?The problem of moments and representations of Wightman type functionals by 1968, Wroclaw (1968).

5. A.N. Kolmogorov, Foundations of the Theory of Probability [in Russian], Moscow-Leningrad (1936).

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