Download or read book The Theory of Hardy s Z Function written by A. Ivić and published by Cambridge University Press. This book was released on 2013 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of Hardy's Z-function, one of the most important functions of analytic number theory.
Download or read book Hardy Classes and Operator Theory written by Marvin Rosenblum and published by Courier Corporation. This book was released on 1997-01-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise treatment focuses on theory of shift operators, Toeplitz operators and Hardy classes of vector- and operator-valued functions. Topics include general theory of shift operators on a Hilbert space, use of lifting theorem to give a unified treatment of interpolation theorems of the Pick-Nevanlinna and Loewner types, more. Appendix. Bibliography. 1985 edition.
Download or read book Spectral Theory of Functions and Operators written by Nikolaj Kapitonovič Nikolʹskij and published by American Mathematical Soc.. This book was released on 1980 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Noncommutative Function Theoretic Operator Theory and Applications written by Joseph A. Ball and published by Cambridge University Press. This book was released on 2021-12-16 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.
Download or read book An Introduction to the Theory of the Riemann Zeta Function written by S. J. Patterson and published by Cambridge University Press. This book was released on 1995-02-02 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the analytic techniques used in the investigation of zeta functions through the example of the Riemann zeta function. It emphasizes central ideas of broad application, avoiding technical results and the customary function-theoretic appro
Download or read book Operators and Function Theory written by S.C. Power and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the modern study of Hilbert space operators there has been an increasingly subtle involvement with analytic function theory. This is evident in the analysis of subnormal operators, Toeplitz operators and Hankel operators, for example. On the other hand the operator theoretic viewpoint of interpolation by analytic functions is a powerful one. There has been significant activity in recent years, within these enriching interactions, and the time seemed right for an overview ot the main lines of development. The Advanced Study Institute 'Operators and Function Theory' in Lancaster, 1984, was devoted to this, and this book contains ex panded versions (and one contraction) of the main lecture prog ramme. These varied articles, by prominent researchers, include, for example, a survey of recent results on subnormal operators, recent work of Soviet mathematicians on Hankel and Toeplitz operators, expositions of the decomposition theory and inter polation theory for Bergman, Besov and Bloch spaces, with applic ations for special operators, the Krein space approach to inter polation problems, •• and much more. It is hoped that these proceedings will bring all this lively mathematics to a wider audience. Sincere thanks are due to the Scientific Committee of the North Atlantic Treaty Organisation for the generous support that made the institute possible, and to the London Mathematical Society and the British Council for important additional support. Warm thanks also go to Barry Johnson and the L.M.S. for early guidance, and to my colleague Graham Jameson for much organisational support.
Download or read book Theory of Functions written by Sergeĭ Mikhaĭlovich Nikolʹskiĭ and published by American Mathematical Soc.. This book was released on 1992 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 190, issue 1 of 4. Translated from the Russian. Comprises materials of the All-Union School on the Theory of Functions (October 1987, Amberd), presenting papers on the coefficients of cosine series with nonnegative partial sums, bases in function spaces and the Franklin system, vectors with c
Download or read book Operators Functions and Systems Model operators and systems written by Nikolaĭ Kapitonovich Nikolʹskiĭ and published by American Mathematical Soc.. This book was released on 2002 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Overall, this work combines together - in two volumes - four formally distinct topics of modern analysis and their applications: Hardy classes of holomorphic functions; spectral theory of Hankel and Toeplitz operators; function models for linear operators and free interpolations; and infinite-dimensional system theory and signal processing. This, the second volume, contains parts C and D of the whole.
Download or read book The Role of Body Size in Multispecies Systems written by and published by Academic Press. This book was released on 2011-09-23 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general theme is being based around the ongoing European Science Foundation SIZEMIC Research Network, which has been running for several years. The network has focused on the role of body size in ecosystems and embraces a wide remit that spans all ecosystem types and a range of disciplines, from theoretical to applied ecology. - Updates and informs the reader on the latest research findings - Written by leading experts in the field - Highlights areas for future investigation
Download or read book Pick Interpolation and Hilbert Function Spaces written by Jim Agler and published by American Mathematical Society. This book was released on 2023-02-22 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book first rigorously develops the theory of reproducing kernel Hilbert spaces. The authors then discuss the Pick problem of finding the function of smallest $H^infty$ norm that has specified values at a finite number of points in the disk. Their viewpoint is to consider $H^infty$ as the multiplier algebra of the Hardy space and to use Hilbert space techniques to solve the problem. This approach generalizes to a wide collection of spaces. The authors then consider the interpolation problem in the space of bounded analytic functions on the bidisk and give a complete description of the solution. They then consider very general interpolation problems. The book includes developments of all the theory that is needed, including operator model theory, the Arveson extension theorem, and the hereditary functional calculus.
Download or read book Boolean Functions and Computation Models written by Peter Clote and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two internationally renowned authors elucidate the structure of "fast" parallel computation. Its complexity is emphasised through a variety of techniques ranging from finite combinatorics, probability theory and finite group theory to finite model theory and proof theory. Non-uniform computation models are studied in the form of Boolean circuits; uniform ones in a variety of forms. Steps in the investigation of non-deterministic polynomial time are surveyed as is the complexity of various proof systems. Providing a survey of research in the field, the book will benefit advanced undergraduates and graduate students as well as researchers.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1979 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Download or read book Operators Functions and Systems An Easy Reading written by Nikolai K. Nikolski and published by American Mathematical Soc.. This book was released on 2010-10-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Together with the companion volume by the same author, Operators, Functions, and Systems: An Easy Reading. Volume 1: Hardy, Hankel, and Toeplitz, Mathematical Surveys and Monographs, Vol. 92, AMS, 2002, this unique work combines four major topics of modern analysis and its applications: A. Hardy classes of holomorphic functions, B. Spectral theory of Hankel and Toeplitz operators, C. Function models for linear operators and free interpolations, and D. Infinite-dimensional system theory and signal processing. This volume contains Parts C and D. Function models for linear operators and free interpolations: This is a universal topic and, indeed, is the most influential operator theory technique in the post-spectral-theorem era. In this book, its capacity is tested by solving generalized Carleson-type interpolation problems. Infinite-dimensional system theory and signal processing: This topic is the touchstone of the three previously developed techniques. The presence of this applied topic in a pure mathematics environment reflects important changes in the mathematical landscape of the last 20 years, in that the role of the main consumer and customer of harmonic, complex, and operator analysis has more and more passed from differential equations, scattering theory, and probability to control theory and signal processing. This and the companion volume are geared toward a wide audience of readers, from graduate students to professional mathematicians. They develop an elementary approach to the subject while retaining an expert level that can be applied in advanced analysis and selected applications.
Download or read book Group Theoretical Methods in Physics written by G.S Pogosyan and published by CRC Press. This book was released on 2005-05-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is permeating our understanding of nature: Group theoretical methods of intrinsic interest to mathematics have expanded their applications from physics to chemistry and biology. The ICGTMP Colloquia maintain the communication among the many branches into which this endeavor has bloomed. Lie group and representation theory, special function
Download or read book Geometric Harmonic Analysis II written by Dorina Mitrea and published by Springer Nature. This book was released on 2023-03-03 with total page 938 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is part of a larger program, materializing in five volumes, whose principal aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. Volume II is concerned with function spaces measuring size and/or smoothness, such as Hardy spaces, Besov spaces, Triebel-Lizorkin spaces, Sobolev spaces, Morrey spaces, Morrey-Campanato spaces, spaces of functions of Bounded Mean Oscillations, etc., in general geometric settings. Work here also highlights the close interplay between differentiability properties of functions and singular integral operators. The text is intended for researchers, graduate students, and industry professionals interested in harmonic analysis, functional analysis, geometric measure theory, and function space theory.
Download or read book Hilbert Spaces of Analytic Functions written by Javad Mashreghi and published by American Mathematical Soc.. This book was released on 2010-01-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catherine Beneteau Alberto A Condori Constanze Liaw William T Ross and Alan A Sola written by Catherine Bénéteau: and published by American Mathematical Soc.. This book was released on 2016-12-22 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the Conference on Completeness Problems, Carleson Measures, and Spaces of Analytic Functions, held from June 29–July 3, 2015, at the Institut Mittag-Leffler, Djursholm, Sweden. The conference brought together experienced researchers and promising young mathematicians from many countries to discuss recent progress made in function theory, model spaces, completeness problems, and Carleson measures. This volume contains articles covering cutting-edge research questions, as well as longer survey papers and a report on the problem session that contains a collection of attractive open problems in complex and harmonic analysis.
