Authors:M.S. Livsic, N. Kravitsky, A.S. Markus, V. Vinnikov,
Publisher: Springer
Keywords: mathematics, applications, operators, nonselfadjoint, commuting, theory
Number of Pages: 340
Published: 1995-06-30
List price: $229.00
ISBN-10: 0792335880
ISBN-13: 9780792335887

Theory of Commuting Nonselfadjoint Operators presents a systematic and cogent exposition of results hitherto only available as research articles. The recently developed theory has revealed important and fruitful connections with the theory of collective motions of systems distributed continuously in space and with the theory of algebraic curves. A rigorous mathematical definition of the physical concept of a particle is proposed, and a concrete image of a particle conceived as a localised entity in space is obtained. The duality of waves and particles then becomes a simple consequenc

Author: I. Gohberg
Publisher: Birkhäuser Basel
Keywords: operator, theory, livsic, advances, applications, birthday, dedicated, interpolation, essays, topics, 70th
Number of Pages: 243
Published: 1988-01-01
List price: $139.00
ISBN-10: 3764319607
ISBN-13: 9783764319601

Authors:Daniel Alpay, Victor Vinnikov,
Publisher: Birkhäuser Basel
Keywords: functions, operator, theory, applications, volume, advances, livsic, scattering, transfer, moshe, characteristic, memorial
Number of Pages: 408
Published: 2009-12-28
List price: $179.00
ISBN-10: 3034601824
ISBN-13: 9783034601825

The notions of transfer function and characteristic functions proved to be fundamental in the last fifty years in operator theory and in system theory. Moshe Livsic played a central role in developing these notions, and the book contains a selection of carefully chosen refereed papers dedicated to his memory. Topics include classical operator theory, ergodic theory and stochastic processes, geometry of smooth mappings, mathematical physics, Schur analysis and system theory. The variety of topics attests well to the breadth of Moshe Livsic’s mathematical vision and the deep impact of his

Authors:Daniel Alpay, Victor Vinnikov,
Publisher: Birkhäuser Basel
Keywords: theory, operator, volume, applications, anniversary, advances, moshe, system, related, topics, livsic
Number of Pages: 567
Published: 2001-04-20
List price: unknow
ISBN-10: 3764365234
ISBN-13: 9783764365233

The present selection of refereed papers is dedicated to Moshe Livic on the occasion of his eightieth anniversary. It covers many areas of operator theory and its applications, reflecting the breadth and the profound impact of his work. In particular, some of his most recent ideas on 2D-systems are presented. Other contributions cover important avenues of modern operator theory in such fields as interpolation theory (also in the so-called nonstationary setting), direct and inverse problems for the string equation and for nonselfadjoint differential operators, operator models and function theor