{"title":"Daniel Alpay","description":null,"products":[{"product_id":"advanced-complex-analysis-problem-book-book-daniel-alpay-9783319160580","title":"An Advanced Complex Analysis Problem Book","description":"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 vector spaces are surveyed. 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This conference was envisaged to pay tribute to our colleagues PaulFuhrmannandMosheLivsicwhoplayedacentralroleindevelopingthese- tions. Sadly, Moshe Livsic passedawayon the 30thof March,2007(11th of Nissan 5767), so the conference was dedicated to his memory. It is a pleasure to thank all the participants, who contributed to a very exciting and fruitful conference, and especially those who submitted papers to the present volume. The volume contains a selection of thirteen research papers dedicated to the memory of Moshe Livsic. The topics addressed can be divided into the following categories: Classical operator theory and its applications: This pertains to the paper Diff- ential-di?erence equations in entire functions by G. Belitskii and V. Tkachenko, the paper Bi-Isometries and Commutant Lifting by H. Bercovici, R.G. Douglas. and C. Foias and the paper Convexity of ranges and connectedness of level sets of quadratic forms by I. Feldman, N. Krupnik and A. Markus. Ergodictheoryandstochasticprocesses: We have the papersTheone-sidedergodic Hilbert transform of normal contractions by G. Cohen and M. Lin, and Integral Equations in the Theory of Levy Processes by L. Sakhnovich. Geometryofsmoothmappings:This iscoveredbythepaper ofY.Yomdinentitled ?-Spread of sets in metric spaces and critical values of smooth functions.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49736626503953,"sku":"NGR9783034601825","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52128501399825,"sku":"NLS9783034601825","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52760637571345,"sku":"NIN9783034601825","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3034601824.jpg?v=1751349944"},{"product_id":"quaternionic-hilbert-spaces-and-slice-hyperholomorphic-functions-book-daniel-alpay-9783031734298","title":"Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions","description":"The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbert spaces of analytic functions, in one or several complex variables, play an important role in analysis and related fields. 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Researchers in functional analysis and hypercomplex analysis will find this book a key contribution to their field, but also researchers in mathematical physics, especially in quantum mechanics, will benefit from the insights presented.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51061988622609,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51061991211281,"sku":"NIN9783031734298","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52666351550737,"sku":"NLS9783031734298","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3031734297.jpg?v=1750902226"},{"product_id":"exercises-in-applied-mathematics-book-daniel-alpay-9783031518249","title":"Exercises in Applied Mathematics","description":"This text presents a collection of mathematical exercises with the aim of guiding readers to study topics in statistical physics, equilibrium thermodynamics, information theory, and their various connections. 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We note that the above list and the given references are by no way exhaustive. We refer to the first section of the paper of S. Saitoh in the present volume for another (and mainly different) list of topics where reproducing kernel spaces appear. Quite often a given question is best understood in a reproducing kernel Hilbert space (for instance when using Cauchy's formula in the Hardy space H ) 2 and one finds oneself as Mr Jourdain of Moliere' Bourgeois Gentilhomme speaking Prose without knowing it [48, p. 51]: Par ma foil il y a plus de quarante ans que je dis de la prose sans que l j'en susse rien.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52336000827665,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52336001712401,"sku":"NLS9783764300685","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783764300685.jpg?v=1758161926"},{"product_id":"operator-theory-system-theory-and-related-topics-book-daniel-alpay-9783764365233","title":"Operator Theory, System Theory and Related Topics","description":"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 in a very wide sense), many of them reflecting, 1 directly or indirectly, a profound impact of the work of Moshe Livsic. Moshe (Mikhail Samuilovich) Livsic was born on July 4, 1917, in the small town of Pokotilova near Uman, in the province of Kiev in the Ukraine; his family moved to Odessa when he was four years old. In 1933 he enrolled in the Department of Physics and Mathematics at the Odessa State University, where he became a student of M. G. Krein and an active participant in Krein's seminar - one of the centres where the ideas and methods of functional analysis and operator theory were being developed. Besides M. G. Krein, M. S. Livsic was strongly influenced B. Va. Levin, an outstanding specialist in the theory of analytic functions. A by deep understanding of operator theory as well as function theory and a penetrating search of connections between the two, were to become one of the landmarks of M. 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