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  • Wavelets, Multiscale Systems and Hypercomplex Analysisby Daniel Alpay

    Birkhäuser Basel 2006; US$ 146.01

    From a mathematical point of view it is fascinating to realize that most, if not all, of the notions arising from the theory of analytic functions in the open unit disk have counterparts when one replaces the integers by the nodes of a homogeneous tree. It is also fascinating to realize that a whole function theory, different from the classical theory... more...

  • Reproducing Kernel Spaces and Applicationsby Daniel Alpay

    Birkhäuser Basel 2012; US$ 112.31

    20. Pattern recognition and statistical learning theory (the theory of support vector machines). See [40], [58]. In this last volume we refer in particular to the papers [63] and [64]. Since this topic is maybe less known to the operator theory community we mention that the support vector method is a general approach to function estimation problems.... more...

  • An Advanced Complex Analysis Problem Bookby Daniel Alpay

    Springer International Publishing 2015; US$ 67.38

    This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological... more...

  • Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizationsby Daniel Alpay; Victor Vinnikov

    Birkhäuser Basel 2006; US$ 179.70

    Operator theory, system theory, scattering theory, and the theory of analytic functions of one complex variable are deeply related topics, and the relationships between these theories are well understood. When one leaves the setting of one operator and considers several operators, the situation is much more involved. There is no longer a single underlying... more...

  • Interpolation, Schur Functions and Moment Problemsby Daniel Alpay; Israel Gohberg

    Birkhäuser Basel 2006; US$ 134.77

    Schur analysis originates with a 1917 paper by Schur where he associated to a function analytic and contractive in the open unit disk a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often called reflection coefficients. Under the word "Schur analysis" one encounters a variety... more...

  • The State Space Methodby Daniel Alpay; Israel Gohberg

    Birkhäuser Basel 2006; US$ 134.77

    Thisvolumeofthe Operator Theory: Advances and Applications series (OTAA) isthe ?rst volume of a new subseries. This subseries is dedicated to connections between the theory of linear operators and the mathematical theory of linear systems and is named Linear Operators and Linear Systems (LOLS).Asthe- isting subseries Advances in Partial Di?erential... more...

  • System Theory, the Schur Algorithm and Multidimensional Analysisby Daniel Alpay; Victor Vinnikov

    Birkhäuser Basel 2007; US$ 168.47

    This volume contains six peer-refereed articles written on the occasion of the workshop Operator theory, system theory and scattering theory: multidimensional generalizations and related topics, held at the Department of Mathematics of the Ben-Gurion University of the Negev in June, 2005. The book will interest a wide audience of pure and applied... more...

  • Characteristic Functions, Scattering Functions and Transfer Functionsby Daniel Alpay; Victor Vinnikov

    Birkhäuser Basel 2010; US$ 157.24

    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,... more...

  • Interpolation, Schur Functions and Moment Problems IIby Daniel Alpay; Bernd Kirstein

    Springer Basel 2012; US$ 97.71

    The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beginnings in the early twentieth century and now encompasses... more...

  • Operator Theory, System Theory and Related Topicsby Daniel Alpay; Victor Vinnikov

    Birkhäuser Basel 2012; US$ 213.40

    This volume presents the refereed proceedings of the Conference in Operator The­ ory in Honour of Moshe Livsic 80th Birthday, held June 29 to July 4, 1997, at the Ben-Gurion University of the Negev (Beer-Sheva, Israel) and at the Weizmann In­ stitute of Science (Rehovot, Israel). The volume contains papers in operator theory and its applications (understood... more...