Regularity of dissipative operators

Arkadii Moiseevich Minkin · arXiv (Cornell University) · 1999

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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