Symmetric Relations in Hilbert Spaces
Author | : Fiazud Din Zaman |
Publisher | : |
Total Pages | : |
Release | : 1974 |
Genre | : |
ISBN | : |
Download Symmetric Relations in Hilbert Spaces Book in PDF, Epub and Kindle
Download Symmetric Relations In Hilbert Spaces full books in PDF, epub, and Kindle. Read online free Symmetric Relations In Hilbert Spaces ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Fiazud Din Zaman |
Publisher | : |
Total Pages | : |
Release | : 1974 |
Genre | : |
ISBN | : |
Author | : Jussi Behrndt |
Publisher | : Springer Nature |
Total Pages | : 772 |
Release | : 2020-01-03 |
Genre | : Mathematics |
ISBN | : 3030367142 |
This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the analytic properties of Weyl functions, form methods for semibounded operators, and functional analytic models for reproducing kernel Hilbert spaces. Further, it illustrates these abstract methods for various applications, including Sturm-Liouville operators, canonical systems of differential equations, and multidimensional Schrödinger operators, where the abstract Weyl function appears as either the classical Titchmarsh-Weyl coefficient or the Dirichlet-to-Neumann map. The book is a valuable reference text for researchers in the areas of differential equations, functional analysis, mathematical physics, and system theory. Moreover, thanks to its detailed exposition of the theory, it is also accessible and useful for advanced students and researchers in other branches of natural sciences and engineering.
Author | : Joachim Weidmann |
Publisher | : Springer Science & Business Media |
Total Pages | : 413 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461260272 |
This English edition is almost identical to the German original Lineare Operatoren in Hilbertriiumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). In addition a great number of minor errors has been corrected. Frankfurt, January 1980 J. Weidmann vii Preface to the German edition The purpose of this book is to give an introduction to the theory of linear operators on Hilbert spaces and then to proceed to the interesting applica tions of differential operators to mathematical physics. Besides the usual introductory courses common to both mathematicians and physicists, only a fundamental knowledge of complex analysis and of ordinary differential equations is assumed. The most important results of Lebesgue integration theory, to the extent that they are used in this book, are compiled with complete proofs in Appendix A. I hope therefore that students from the fourth semester on will be able to read this book without major difficulty. However, it might also be of some interest and use to the teaching and research mathematician or physicist, since among other things it makes easily accessible several new results of the spectral theory of differential operators.
Author | : Carlo Alabiso |
Publisher | : Springer Nature |
Total Pages | : 343 |
Release | : 2021-03-03 |
Genre | : Science |
ISBN | : 3030674177 |
This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in the strenuous mathematics demands that even the simplest physical cases entail. Graduate courses in physics rarely offer enough time to cover the theory of Hilbert space and operators, as well as distribution theory, with sufficient mathematical rigor. Accordingly, compromises must be found between full rigor and the practical use of the instruments. Based on one of the authors’s lectures on functional analysis for graduate students in physics, the book will equip readers to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. It also includes a brief introduction to topological groups, and to other mathematical structures akin to Hilbert space. Exercises and solved problems accompany the main text, offering readers opportunities to deepen their understanding. The topics and their presentation have been chosen with the goal of quickly, yet rigorously and effectively, preparing readers for the intricacies of Hilbert space. Consequently, some topics, e.g., the Lebesgue integral, are treated in a somewhat unorthodox manner. The book is ideally suited for use in upper undergraduate and lower graduate courses, both in Physics and in Mathematics.
Author | : Alain Guichardet |
Publisher | : |
Total Pages | : 212 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662165836 |
Author | : Alain Guichardet |
Publisher | : Springer |
Total Pages | : 203 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540374558 |
Author | : Palle Jorgensen |
Publisher | : World Scientific |
Total Pages | : 253 |
Release | : 2021-01-15 |
Genre | : Mathematics |
ISBN | : 9811225796 |
The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics.
Author | : Rodney A. Kennedy |
Publisher | : Cambridge University Press |
Total Pages | : 439 |
Release | : 2013-03-07 |
Genre | : Mathematics |
ISBN | : 1107010039 |
An accessible introduction to Hilbert spaces, combining the theory with applications of Hilbert methods in signal processing.
Author | : Jirí Blank |
Publisher | : Springer Science & Business Media |
Total Pages | : 677 |
Release | : 2008-09-24 |
Genre | : Science |
ISBN | : 1402088701 |
The new edition of this book detailing the theory of linear-Hilbert space operators and their use in quantum physics contains two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography contains 130 new items.
Author | : Konrad Schmüdgen |
Publisher | : Springer Science & Business Media |
Total Pages | : 435 |
Release | : 2012-07-09 |
Genre | : Mathematics |
ISBN | : 9400747535 |
The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics are treated on a text book level accompanied by numerous illustrating examples and exercises. The main themes of the book are the following: - Spectral integrals and spectral decompositions of self-adjoint and normal operators - Perturbations of self-adjointness and of spectra of self-adjoint operators - Forms and operators - Self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extension