Systems, Approximation, Singular Integral Operators, and Related Topics: International Workshop on Operator Theory and Applications, Iwota 2000

ISBN-13: 9783034895347 / Angielski / Miękka / 2012 / 527 str.

Alexander A. Borichev; Nikolai K. Nikolski

Opis

This book is de- voted to some topical prob- lems and various applica- tions of Operator Theory and to its interplay with many other fields of analysis as modern approximation the- ory, theory of dynamic sys- tems, harmonic analysis and complex analysis. It consists of 20 carefully selected sur- veys and research-expository papers. Their scope gives a representative status report on the field drawing a pic- ture of a rapidly developing domain of analysis. An abun- dance of references completes the picture. All papers included in the volume originate from lectures delivered at the l1th edition of the International Workshop on Operator The- ory and its Applications (IWOTA-2000, June 13-16, Bordeaux). Some information about the conference, including the complete list of participants, can be found on forthcoming pages. The editors are indebted to A.Sudakov for helping them in polishing and assembling original TeX files. A. Borichev and N. Nikolski Talence, May 2001 v vii International Workshop on Operator Theory and Its Applications (June 13-June 16, 2000, Universite Bordeaux 1) The International Workshop on Operator Theory and its Applications (IWOTA) is a satellite meeting of the international symposium on the Mathe- matical Theory of Networks and Systems (MNTS). In 2000, the MNTS is held in Perpignan, France, June 19-23. IWOTA 2000 was the eleventh workshop of this kind.

Spis treści

The Schur algorithm for generalized Schur functions I: coisometric realizations.- Hardy spaces on a finite bordered Riemann surface, multivariable operator model theory and Fourier analysis along a unimodular curve.- On Hankel operators associated with Markov functions.- Threshold effects near the lower edge of the spectrum for periodic differential operators of mathematical physics.- Cauchy’s singular integral operator and its beautiful spectrum.- Approximation problems in some holomorphic spaces, with applications.- The Bargmann isometry and Gabor—Daubechies wavelet localization operators.- Stabilization of irrational transfer functions by controllers with internal loop.- Free Semigroup Algebras. A Survey.- Some geometric invariants from resolutions of Hilbert modules.- Some remarks on spherical isometries.- Higher-order Hankel forms and cohomology groups.- A weighted version of almost commutant lifting.- Hyperbolicity of semigroups and Fourier multipliers.- Relaxations of quadratic programs in operator theory and system analysis.- Bellman function in stochastic control and harmonic analysis.- Integral representations and uniqueness sets for star-invariant subspaces.- Well-posed linear systems, Lax—Phillips scattering, and Lp-multipliers.- Spectral theory for delay equations.- On a singular perturbation of a multiplication operator.