Complex Analysis And Spectral Theory
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Complex Analysis And Spectral Theory
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Author : Nikolaĭ Kapitonovich Nikolʹskiĭ
language : en
Publisher:
Release Date : 1981
Complex Analysis And Spectral Theory written by Nikolaĭ Kapitonovich Nikolʹskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Functions of complex variables categories.
Complex Analysis And Spectral Theory
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Author : V. P. Havin
language : en
Publisher:
Release Date : 2014-01-15
Complex Analysis And Spectral Theory written by V. P. Havin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Complex Analysis And Spectral Theory
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Author : V. P. Havin
language : en
Publisher: Springer
Release Date : 2006-12-08
Complex Analysis And Spectral Theory written by V. P. Havin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
Spectral Theory And Complex Analysis
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Author : Jean Pierre Ferrier
language : nl
Publisher:
Release Date : 1973
Spectral Theory And Complex Analysis written by Jean Pierre Ferrier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Analytic functions categories.
Complex Analysis And Spectral Theory
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Author : H. Garth Dales
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-02-07
Complex Analysis And Spectral Theory written by H. Garth Dales and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-07 with Education categories.
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.
Functional Analysis Spectral Theory And Applications
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Author : Manfred Einsiedler
language : en
Publisher: Springer
Release Date : 2017-11-21
Functional Analysis Spectral Theory And Applications written by Manfred Einsiedler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-21 with Mathematics categories.
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.
Spectral Theory Of Canonical Systems
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Author : Christian Remling
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-08-21
Spectral Theory Of Canonical Systems written by Christian Remling and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-21 with Mathematics categories.
Canonical systems occupy a central position in the spectral theory of second order differential operators. They may be used to realize arbitrary spectral data, and the classical operators such as Schrödinger, Jacobi, Dirac, and Sturm-Liouville equations can be written in this form. ‘Spectral Theory of Canonical Systems’ offers a selfcontained and detailed introduction to this theory. Techniques to construct self-adjoint realizations in suitable Hilbert spaces, a modern treatment of de Branges spaces, and direct and inverse spectral problems are discussed. Contents Basic definitions Symmetric and self-adjoint relations Spectral representation Transfer matrices and de Branges spaces Inverse spectral theory Some applications The absolutely continuous spectrum
Complex Analysis And Spectral Theory
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Author : Harold G. Dales
language : en
Publisher:
Release Date : 2020
Complex Analysis And Spectral Theory written by Harold G. Dales and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Analytic functions categories.
Selected Lectures On Functional Analysis Spectral Theory Of Operators Banach Algebras And Semigroups Of Operators
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Author : Dachun Yang
language : en
Publisher: World Scientific
Release Date : 2025-05-14
Selected Lectures On Functional Analysis Spectral Theory Of Operators Banach Algebras And Semigroups Of Operators written by Dachun Yang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-14 with Mathematics categories.
The main aim of this book is to provide an advanced textbook on functional analysis, focusing on the functional calculus of operators. Based on basic knowledge of functional analysis on metric spaces and linear bounded operators, this book systematically introduces the spectral theory of operators and the theory of operator semigroups, including Banach algebras, spectral theories of both bounded and unbounded linear operators, as well as semigroups of operators. They play important roles in various areas of modern mathematics such as harmonic analysis, partial differential equations, probability and statistics, engineering science, quantum physics, and statistical mechanics. This book provides rich examples and exercises, emphasizing the combination of the theory and examples to enhance readers' ability to apply functional analysis theory to solve related problems. Compared with many other functional analysis textbooks, this book focuses on the spectral theory and the operator semigroup theory, serving as an appropriate connection for functional analysis between undergraduate and graduate levels, making it an ideal textbook for both. It will also be a good reference book for researchers who are interested in modern analysis, such as functional analysis, harmonic analysis, and partial differential equations.
Proceedings Of The Steklov Institute Of Mathematics
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Author : Matematičeskij Institut Imeni V. A. Steklova
language : en
Publisher: Cambridge University Press
Release Date : 1967
Proceedings Of The Steklov Institute Of Mathematics written by Matematičeskij Institut Imeni V. A. Steklova and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.