{"title":"Operator Theory: Advances And Applications","description":null,"products":[{"product_id":"characteristic-functions-scattering-functions-and-transfer-functions-book-daniel-alpay-9783034601825","title":"Characteristic Functions, Scattering Functions and Transfer Functions","description":"Daniel Alpay and Victor Vinnikov During the period July 9 to July 13, 2007,a conference called Characteristic fu- tions and transfer functions in operator theory and system theory: a conference dedicated to PaulFuhrmann onhis 70thanniversary and to the memory ofMoshe Livsiconhis90thanniversarywasheldattheDepartmentofMathematicsofBen- GurionUniversityoftheNegev.Thenotionsoftransferfunctionandcharacteristic functions proved to be fundamental in the last ?fty years in operator theory and in system theory. This conference was envisaged to pay tribute to our colleagues PaulFuhrmannandMosheLivsicwhoplayedacentralroleindevelopingthese- tions. 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Caratheodory, L. Fejer and I. Schur. The basic method, due to Schur, in solving these problems consists in applying the Mobius transform to peel off the data. In 1967, D. Sarason encompassed these classical interpolation problems in a representation theorem of operators commuting with special contractions. Shortly after that, in 1968, B. Sz.- Nagy and C. Foias obtained a purely geometrical extension of Sarason's results. Actually, their result states that operators intertwining restrictions of co-isometries can be extended, by preserving their norm, to operators intertwining these co-isometries; starring with R. G. Douglas, P. S. Muhly and C. Pearcy, this is referred to as the commutant lifting theorem. In 1957, Z. Nehari considered an L interpolation problern which in turn encompassed the same classical interpolation problems, as well as the computation of the distance of a function f in L to H . At about the sametime as Sarason's work, V. M.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52135866269969,"sku":"NLS9783034877145","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783034877145.jpg?v=1757551330"},{"product_id":"systems-approximation-singular-integral-operators-and-related-topics-book-alexander-a-borichev-9783034895347","title":"Systems, Approximation, Singular Integral Operators, and Related Topics","description":"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. 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The conference was very stimulating and helped us to decide that the time was ripe for a book on interpolation for matrix valued functions (both rational and non-rational). When the work started and the first partial draft of the book was ready it became clear that the topic is vast and that the rational case by itself with its applications is already enough material for an interesting book. In the process of writing the book, methods for the rational case were developed and refined. As a result we are now able to present the rational case as an independent theory. After two years a major part of the first draft was prepared. Then a long period of revising the original draft and introducing recently acquired results and methods followed. There followed a period of polishing and of 25 chapters and the appendix commuting at various times somewhere between Williamsburg, Blacksburg, Tel Aviv, College Park and Amsterdam (sometimes with one or two of the authors).","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52139434279185,"sku":"NLS9783034877114","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783034877114.jpg?v=1757568998"},{"product_id":"convolution-operators-and-factorization-of-almost-periodic-matrix-functions-book-yuri-karlovich-9783034894579","title":"Convolution Operators and Factorization of Almost Periodic Matrix Functions","description":"Many problems of the engineering sciences, physics, and mathematics lead to con volution equations and their various modifications. 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