Regularity of dissipative operators

Mathematics – Spectral Theory

Scientific paper

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LaTex2e, 22 pages. Technical fix to restore title page, abstract and citations present in the original document but missed/dis

Scientific paper

S.G.Krein's conjecture concerning Birkhoff-regularity of dissipative
differential operators has been proved in the even order case. As a byproduct
an existence of the limit of characteristic matrix as in the lower half-plane
has been established. Up to multiplication by a nonvanishing matrix this limit
coincides with the ratio of the matrices of regularity determinants.

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