In the current work a generalization of the famous Weyl-Kodaira inversion formulas for the case of self-adjoint differential vector-operators is proved. A formula for spectral resolutions over an analytical defining set of solutions is discussed. The article is the first part of the planned two-part survey on the structural spectral theory of self-adjoint differential vector-operators in matrix Hilbert spaces.
@article{bwmeta1.element.doi-10_2478_BF02475623,
author = {Maksim Sokolov},
title = {Self-adjoint differential vector-operators and matrix Hilbert spaces I},
journal = {Open Mathematics},
volume = {3},
year = {2005},
pages = {627-643},
zbl = {1236.47042},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475623}
}
Maksim Sokolov. Self-adjoint differential vector-operators and matrix Hilbert spaces I. Open Mathematics, Tome 3 (2005) pp. 627-643. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475623/
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