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Toeplitz operators and related topics : the Harold Widom anniversary volume

Author: Estelle L Basor; Harold Widom
Publisher: Basel ; Berlin [u.a.] : Birkhäuser, 1994.
Series: Operator theory, 71.
Edition/Format:   Print book : EnglishView all editions and formats

This volume is dedicated to Harold Widom, a leading mathematician and expert in the area of Toeplitz, Wiener-Hopf and pseudodifferential operators. The papers were presented at the Workshop on  Read more...


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Genre/Form: Aufsatzsammlung
Named Person: Harold Widom; Harold Widom
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Estelle L Basor; Harold Widom
ISBN: 0817650687 9780817650681 3764350687 9783764350680
OCLC Number: 246606828
Description: XIX, 186 S : ill., graph. Darst.
Contents: Biography of H. Widom, E.L. Basor and E.M. Landesman; to Harold Widom on his 60th birthday, I. Kaplansky; Harold Widom's publications; eigenvalue distribution for nonselfadjoint Toeplitz matrices, H. Widom; random Hermitian matrices and (nonrandom) Toeplitz matrices, H. Widom; the extended Fisher-Hartwig conjecture for symbols with multiple jump discontinuities - some special cases, references, E.L. Basor and K.E. Morrison; a relative Toeplitz-Hausdorff theorem, H. Bercovici et al; operator-valued Szego-Widom limit theorems - Toeplitz and Hankel operators with operator-valued symbols, finite section method, the first Szego-Widom limit theorem, the strong Szego-Widom limit theorem, continuous symbols, references, A. Boettcher and B. Silbermann; the Adamjan-Arov-Krein theorem in general and regular representations of R(2) and the symplectic plane - Hankel forms in discrete and continuous evolution systems, the A-A-K theorem in general and regular representations of R, the A-A-K theorem for general representations of R(2) and (R(2),[,]), A-A-K theorems in the regular representation of R(2), the A-A-K theorem in the regular representation of the symplectic plane, references, M. Cotlar and C. Sadosky; projection method for block Toeplitz operators with operator-valued symbols - projection method for compressions, applications of block Toeplitz operators with operator-valued symbols, projection method with two directions, the projection method for block pair operators, the theorem for the non-Toeplitz case, references, I. Gohberg and M.A. Kaashoek; Szego-Widom-type limit theorems - the main results, illustrative examples, proofs of theorems 2.1, 2.2, references, I. Gohberg and N Krupnik; (semi)-Fredholmness of convolution operators on the spaces of Bessel potentials - main results, auxiliary results, invertibility and factorability of local representatives, references, Y. Krlovich and I. Spitovsky; kernels of Toeplitz operators - De Branges-Rovnyak spaces, Hitt's theorem, Hayashi's theorem, rigid functions, references, D. Sarason; a fixed point approach to Nehari's problem and its applications - abstract Nehari's theorem, main examples and corollaries, Iokhvidov-Ky Fan theorem and some of its applications - a generalized AAK theorem, proof of the generalized Nehari's theorem, proof of the Iokhvidov-Ky Fan theorem, references, S. Treil and A. Volberg.
Series Title: Operator theory, 71.
Responsibility: Workshop on Toeplitz and Wiener-Hopf Operators, Santa Cruz, California, September 20-22, 1992. Ed. by E.L. Basor ... [Vol. ed. off.: Raymond and Beverly Sackler Faculty of Exact Sciences, School of Mathematical Sciences, Tel Aviv University].
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