Autor:	I. V. Vorob'ev
Rok vydání:	2003
Předmět:	Singular value Ladder operator Hermitian adjoint General Mathematics Mathematical analysis Finite-rank operator Resolvent formalism Singular integral Compact operator Strictly singular operator Mathematics
Zdroj:	Ukrainian Mathematical Journal. 55:171-179
ISSN:	0041-5995
DOI:	10.1023/a:1025089122778
Popis:	We describe the relationship between the expansion of a self-adjoint operator in generalized eigenvectors and the direct integral of Hilbert spaces. We perform the explicit diagonalization of a self-adjoint absolutely continuous singular integral operator Y using an Hermitian nonnegative kernel consisting of boundary values of the determining function of the operator T = X + iY with respect to the resolvent of the imaginary part of Y.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fbd181b9b771d16ec3ab5a162974a5c1 https://doi.org/10.1023/a:1025089122778 Zobrazit plný text záznamu Full text from SpringerLink