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Author : Nikolaĭ Kapitonovich Nikolʹskiĭ
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.:/5 (216 download)
Download or read book Complex Analysis and Spectral Theory written by Nikolaĭ Kapitonovich Nikolʹskiĭ and published by . This book was released on 1981 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. P. Havin
Publisher :
ISBN 13 : 9783662213513
Total Pages : 492 pages
Book Rating : 4.2/5 (135 download)
Download or read book Complex Analysis and Spectral Theory written by V. P. Havin and published by . This book was released on 2014-01-15 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. P. Havin
Publisher : Springer
ISBN 13 : 3540386262
Total Pages : 491 pages
Book Rating : 4.5/5 (43 download)
Download or read book Complex Analysis and Spectral Theory written by V. P. Havin and published by Springer. This book was released on 2006-12-08 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Garth Dales
Publisher : American Mathematical Soc.
ISBN 13 : 1470446928
Total Pages : 280 pages
Book Rating : 4.4/5 (74 download)
Download or read book Complex Analysis and Spectral Theory written by H. Garth Dales and published by American Mathematical Soc.. This book was released on 2020-02-07 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Conference on Complex Analysis and Spectral Theory, in celebration of Thomas Ransford's 60th birthday, held from May 21–25, 2018, at Laval University, Québec, Canada. Spectral theory is the branch of mathematics devoted to the study of matrices and their eigenvalues, as well as their infinite-dimensional counterparts, linear operators and their spectra. Spectral theory is ubiquitous in science and engineering because so many physical phenomena, being essentially linear in nature, can be modelled using linear operators. On the other hand, complex analysis is the calculus of functions of a complex variable. They are widely used in mathematics, physics, and in engineering. Both topics are related to numerous other domains in mathematics as well as other branches of science and engineering. The list includes, but is not restricted to, analytical mechanics, physics, astronomy (celestial mechanics), geology (weather modeling), chemistry (reaction rates), biology, population modeling, economics (stock trends, interest rates and the market equilibrium price changes). There are many other connections, and in recent years there has been a tremendous amount of work on reproducing kernel Hilbert spaces of analytic functions, on the operators acting on them, as well as on applications in physics and engineering, which arise from pure topics like interpolation and sampling. Many of these connections are discussed in articles included in this book.
Author :
Publisher : Elsevier
ISBN 13 : 0080871151
Total Pages : 106 pages
Book Rating : 4.0/5 (88 download)
Download or read book Spectral Theory and Complex Analysis written by and published by Elsevier. This book was released on 2011-08-26 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Theory and Complex Analysis
Author : Vladimir Müller
Publisher : Springer Science & Business Media
ISBN 13 : 3764382651
Total Pages : 444 pages
Book Rating : 4.7/5 (643 download)
Download or read book Spectral Theory of Linear Operators written by Vladimir Müller and published by Springer Science & Business Media. This book was released on 2007-12-24 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.
Author : Jurgen Poschel
Publisher : Academic Press
ISBN 13 : 0080874495
Total Pages : 209 pages
Book Rating : 4.0/5 (88 download)
Download or read book Inverse Spectral Theory written by Jurgen Poschel and published by Academic Press. This book was released on 1987-03-16 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse Spectral Theory
Author : Pietro Aiena
Publisher : Springer Science & Business Media
ISBN 13 : 1402025254
Total Pages : 452 pages
Book Rating : 4.4/5 (2 download)
Download or read book Fredholm and Local Spectral Theory, with Applications to Multipliers written by Pietro Aiena and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: A signi?cant sector of the development of spectral theory outside the classical area of Hilbert space may be found amongst at multipliers de?ned on a complex commutative Banach algebra A. Although the general theory of multipliers for abstract Banach algebras has been widely investigated by several authors, it is surprising how rarely various aspects of the spectral theory, for instance Fredholm theory and Riesz theory, of these important classes of operators have been studied. This scarce consideration is even more surprising when one observes that the various aspects of spectral t- ory mentioned above are quite similar to those of a normal operator de?ned on a complex Hilbert space. In the last ten years the knowledge of the spectral properties of multip- ers of Banach algebras has increased considerably, thanks to the researches undertaken by many people working in local spectral theory and Fredholm theory. This research activity recently culminated with the publication of the book of Laursen and Neumann [214], which collects almost every thing that is known about the spectral theory of multipliers.
Author : David Borthwick
Publisher : Springer Nature
ISBN 13 : 3030380025
Total Pages : 339 pages
Book Rating : 4.0/5 (33 download)
Download or read book Spectral Theory written by David Borthwick and published by Springer Nature. This book was released on 2020-03-12 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis. Curating the content carefully, the author builds to a proof of the spectral theorem in the early part of the book. Subsequent chapters illustrate a variety of application areas, exploring key examples in detail. Readers looking to delve further into specialized topics will find ample references to classic and recent literature. Beginning with a brief introduction to functional analysis, the text focuses on unbounded operators and separable Hilbert spaces as the essential tools needed for the subsequent theory. A thorough discussion of the concepts of spectrum and resolvent follows, leading to a complete proof of the spectral theorem for unbounded self-adjoint operators. Applications of spectral theory to differential operators comprise the remaining four chapters. These chapters introduce the Dirichlet Laplacian operator, Schrödinger operators, operators on graphs, and the spectral theory of Riemannian manifolds. Spectral Theory offers a uniquely accessible introduction to ideas that invite further study in any number of different directions. A background in real and complex analysis is assumed; the author presents the requisite tools from functional analysis within the text. This introductory treatment would suit a functional analysis course intended as a pathway to linear PDE theory. Independent later chapters allow for flexibility in selecting applications to suit specific interests within a one-semester course.
Author : Harold G. Dales
Publisher :
ISBN 13 : 9781470454531
Total Pages : pages
Book Rating : 4.4/5 (545 download)
Download or read book Complex Analysis and Spectral Theory written by Harold G. Dales and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Borthwick
Publisher : Birkhäuser
ISBN 13 : 3319338773
Total Pages : 471 pages
Book Rating : 4.3/5 (193 download)
Download or read book Spectral Theory of Infinite-Area Hyperbolic Surfaces written by David Borthwick and published by Birkhäuser. This book was released on 2016-07-12 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developments in the field. For the second edition the context has been extended to general surfaces with hyperbolic ends, which provides a natural setting for development of the spectral theory while still keeping technical difficulties to a minimum. All of the material from the first edition is included and updated, and new sections have been added. Topics covered include an introduction to the geometry of hyperbolic surfaces, analysis of the resolvent of the Laplacian, scattering theory, resonances and scattering poles, the Selberg zeta function, the Poisson formula, distribution of resonances, the inverse scattering problem, Patterson-Sullivan theory, and the dynamical approach to the zeta function. The new sections cover the latest developments in the field, including the spectral gap, resonance asymptotics near the critical line, and sharp geometric constants for resonance bounds. A new chapter introduces recently developed techniques for resonance calculation that illuminate the existing results and conjectures on resonance distribution. The spectral theory of hyperbolic surfaces is a point of intersection for a great variety of areas, including quantum physics, discrete groups, differential geometry, number theory, complex analysis, and ergodic theory. This book will serve as a valuable resource for graduate students and researchers from these and other related fields. Review of the first edition: "The exposition is very clear and thorough, and essentially self-contained; the proofs are detailed...The book gathers together some material which is not always easily available in the literature...To conclude, the book is certainly at a level accessible to graduate students and researchers from a rather large range of fields. Clearly, the reader...would certainly benefit greatly from it." (Colin Guillarmou, Mathematical Reviews, Issue 2008 h)
Author : Vladimir Müller
Publisher : Birkhäuser
ISBN 13 : 3034877889
Total Pages : 390 pages
Book Rating : 4.0/5 (348 download)
Download or read book Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras written by Vladimir Müller and published by Birkhäuser. This book was released on 2013-11-11 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.
Author : William Arveson
Publisher : Springer Science & Business Media
ISBN 13 : 0387953000
Total Pages : 140 pages
Book Rating : 4.3/5 (879 download)
Download or read book A Short Course on Spectral Theory written by William Arveson and published by Springer Science & Business Media. This book was released on 2001-11-09 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.
Author : Rongwei Yang
Publisher : Springer Nature
ISBN 13 : 3031516052
Total Pages : 277 pages
Book Rating : 4.0/5 (315 download)
Download or read book A Spectral Theory Of Noncommuting Operators written by Rongwei Yang and published by Springer Nature. This book was released on with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Julian Lopez-Gomez
Publisher : CRC Press
ISBN 13 : 1420035509
Total Pages : 281 pages
Book Rating : 4.4/5 (2 download)
Download or read book Spectral Theory and Nonlinear Functional Analysis written by Julian Lopez-Gomez and published by CRC Press. This book was released on 2001-03-28 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure set of zeroes of a general class of nonlinear operators. Appealing to a broad audience, it contains many important contributions to linear algebra, linear functional analysis, nonlinear functional analysis, and topology. The author gives several applications of the abstract theory to reaction diffusion equations and systems. The results presented cover a thirty-year period and cut across a variety of mathematical fields.
Author : Seminar Po Kompleksnomu I Spektralnomu Analizu (Leningrad, R.S.F.S.R.)
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.:/5 (81 download)
Download or read book Complex Analysis and Spectral Theory written by Seminar Po Kompleksnomu I Spektralnomu Analizu (Leningrad, R.S.F.S.R.) and published by . This book was released on 1981 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Manfred Einsiedler
Publisher : Springer
ISBN 13 : 3319585401
Total Pages : 626 pages
Book Rating : 4.3/5 (195 download)
Download or read book Functional Analysis, Spectral Theory, and Applications written by Manfred Einsiedler and published by Springer. This book was released on 2017-11-21 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao’s approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study. Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.
