On spectral resolutions connected with self-adjoint differential vector-operators in a Hilbert space.

Autor:	Ashurov, R. R., Sokolov, M. S.
Předmět:	DIFFERENTIAL operators DIFFERENTIAL equations OPERATOR theory SPECTRUM analysis HILBERT space BANACH spaces
Zdroj:	Applicable Analysis; Jun2005, Vol. 84 Issue 6, p601-616, 16p
Abstrakt:	We show that spectral resolutions of differential vector-operators may be represented as a specific direct sum integral operator with a kernel written in terms of generalized vector-operator eigenfunctions. Then we prove that a generalized eigenfunction measurable with respect to the spectral parameter may be decomposed using a set of analytical defining systems of coordinate operators. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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