Introduction to the theory of singular integral operators with shift
Kluwer Academic Publishers, May 31, 1994 - Mathematics - 288 pages
This book is devoted to the Fredholm theory of singular integral operators with shift in L p , 1 p This book is of interest to graduate students and mathematicians. The book is self-contained and can be used as a main reference for special course seminars on singular integral operators.
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Noetherity criterion and a formula for the index of a singular integral
2 The calculation of the index of a singular integral functional operator of the first
11 other sections not shown
a-reducible a-solution abstract scheme algebra analogously arbitrary Banach Banach space belongs bounded operator C*-algebra C*-subalgebra Carleman shift Cauchy index Cauchy kernel changes the orientation Chapter closed contour Cnxn(T cokernel compact operator Consequently consider construction continuous functions continuously invertible operator Corollary corresponding defined Definition denote diffeomorphism equality equation essential kernel exists finite number fixed points follows Fredholm operator fulfilled holds homeomorphism homotopy index formula inequalities integral functional operator isomorphism Karlovich and Kravchenko Kveselava-Vekua Lemma Litvinchuk matrix a(t matrix functions Noether theory Noetherian operator Noetherity criterion non-Carleman shift non-closed norm normal form obtain operator A(a operator Ac operator Ta,b orientation-preserving shift paired operator periodic points point t0 preserves the orientation problem proved satisfying the conditions Section sequence set of periodic shift a(t shift operator SIFO singular integral functional singular integral operator solution solvable space LP(T subalgebra subspaces Suppose symbol unit circle zero