Toeplitz Operators And Index Theory In Several Complex Variables PDF Download
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| Author | : Harald Upmeier |
| Publisher | : Birkhäuser |
| Total Pages | : 495 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034892462 |
Download Toeplitz Operators and Index Theory in Several Complex Variables Book in PDF, ePub and Kindle
4. 1 Bergman-Toeplitz Operators Over Bounded Domains 242 4. 2 Hardy-Toeplitz Operators Over Strictly Domains Pseudoconvex 250 Groupoid C* -Algebras 4. 3 256 4. 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4. 5 Bergman-Toeplitz Operators Over Tubular Domains 278 4. 6 Hardy-Toeplitz Operators Over Polycircular Domains 284 4. 7 Bergman-Toeplitz Operators Over Polycircular Domains 290 4. 8 Hopf C* -Algebras 299 4. 9 Actions and Coactions on C* -Algebras 310 4. 10 Hardy-Toeplitz Operators Over K-circular Domains 316 4. 11 Hardy-Toeplitz Operators Over Symmetric Domains 325 4. 12 Bergman-Toeplitz Operators Over Symmetric Domains 361 5. Index Theory for Multivariable Toeplitz Operators 5. 0 Introduction 371 5. 1 K-Theory for Topological Spaces 372 5. 2 Index Theory for Strictly Pseudoconvex Domains 384 5. 3 C*-Algebras K-Theory for 394 5. 4 Index Theory for Symmetric Domains 400 5. 5 Index Theory for Tubular Domains 432 5. 6 Index Theory for Polycircular Domains 455 References 462 Index of Symbols and Notations 471 In trod uction Toeplitz operators on the classical Hardy space (on the I-torus) and the closely related Wiener-Hopf operators (on the half-line) form a central part of operator theory, with many applications e. g. , to function theory on the unit disk and to the theory of integral equations.
| Author | : Vladimir Dybin |
| Publisher | : Birkhäuser |
| Total Pages | : 306 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034882130 |
Download Introduction to the Theory of Toeplitz Operators with Infinite Index Book in PDF, ePub and Kindle
This book is devoted to Toeplitz and singular integral operators with symbols that have discontinuities of the oscillating type. Criteria for the normal solvability of such operators are established and several methods for describing the kernel and image spaces of the operators are presented. The approach is based on the idea of modelling discontinuities with an "infinite index" by appropriate inner functions, especially by infinite Blaschke products. The corresponding techniques have been elaborated by the authors during the last two decades, and they are applicable to both symbols with slowly and rapidly increasing arguments. Moreover, the book reveals exciting connections between invariant subspaces of the shift operator, bases in Banach spaces, and various classes of entire and meromorphic functions. The book aims at making advanced topics accessible to a broad readership. It is addressed to graduate and postgraduate students and to mathematicians interested in functional analysis, the theory of functions of a complex variable, or mathematical physics.
| Author | : Marek Ptak |
| Publisher | : Springer Nature |
| Total Pages | : 423 |
| Release | : |
| Genre | : |
| ISBN | : 3031506138 |
Download Operator and Matrix Theory, Function Spaces, and Applications Book in PDF, ePub and Kindle
| Author | : Kehe Zhu |
| Publisher | : CRC Press |
| Total Pages | : 228 |
| Release | : 2019-05-10 |
| Genre | : Mathematics |
| ISBN | : 1351045539 |
Download Handbook of Analytic Operator Theory Book in PDF, ePub and Kindle
This handbook concerns the subject of holomorphic function spaces and operators acting on them. Topics include Bergman spaces, Hardy spaces, Besov/Sobolev spaces, Fock spaces, and the space of Dirichlet series. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators
| Author | : Peter B. Gilkey |
| Publisher | : CRC Press |
| Total Pages | : 536 |
| Release | : 2018-05-02 |
| Genre | : Mathematics |
| ISBN | : 1351436430 |
Download Invariance Theory Book in PDF, ePub and Kindle
This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.
| Author | : Léa Blanc-Centi |
| Publisher | : Springer |
| Total Pages | : 173 |
| Release | : 2017-11-03 |
| Genre | : Mathematics |
| ISBN | : 3319658379 |
Download Metrical and Dynamical Aspects in Complex Analysis Book in PDF, ePub and Kindle
The central theme of this reference book is the metric geometry of complex analysis in several variables. Bridging a gap in the current literature, the text focuses on the fine behavior of the Kobayashi metric of complex manifolds and its relationships to dynamical systems, hyperbolicity in the sense of Gromov and operator theory, all very active areas of research. The modern points of view expressed in these notes, collected here for the first time, will be of interest to academics working in the fields of several complex variables and metric geometry. The different topics are treated coherently and include expository presentations of the relevant tools, techniques and objects, which will be particularly useful for graduate and PhD students specializing in the area.
| Author | : Yuri I. Karlovich |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 425 |
| Release | : 2012-10-30 |
| Genre | : Mathematics |
| ISBN | : 3034805373 |
Download Operator Theory, Pseudo-Differential Equations, and Mathematical Physics Book in PDF, ePub and Kindle
This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography of Vladimir Rabinovich, along with some personal recollections and bibliography of his work. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich's research interests. Many of them are written by participants of the International workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012) having a long history of scientific collaboration with Vladimir Rabinovich, and are partially based on the talks presented there.The volume will be of great interest to researchers and graduate students in differential equations, operator theory, functional and harmonic analysis, and mathematical physics.
| Author | : Michiel Hazewinkel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 564 |
| Release | : 2007-11-23 |
| Genre | : Mathematics |
| ISBN | : 0306483734 |
Download Encyclopaedia of Mathematics, Supplement III Book in PDF, ePub and Kindle
This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.
| Author | : Wolfram Bauer |
| Publisher | : Springer Nature |
| Total Pages | : 467 |
| Release | : 2020-09-01 |
| Genre | : Mathematics |
| ISBN | : 3030446514 |
Download Operator Algebras, Toeplitz Operators and Related Topics Book in PDF, ePub and Kindle
This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.
| Author | : Victor W. Guillemin |
| Publisher | : Birkhäuser |
| Total Pages | : 852 |
| Release | : 2017-05-05 |
| Genre | : Mathematics |
| ISBN | : 3319279092 |
Download Louis Boutet de Monvel, Selected Works Book in PDF, ePub and Kindle
This book features a selection of articles by Louis Boutet de Monvel and presents his contributions to the theory of partial differential equations and analysis. The works selected here reveal his central role in the development of his field, including three cornerstones: firstly, analytic pseudodifferential operators, which have become a fundamental aspect of analytic microlocal analysis, and secondly the Boutet de Monvel calculus for boundary problems for elliptic partial differential operators, which is still an important tool also in index theory. Thirdly, Boutet de Monvel was one of the first people to recognize the importance of the existence of generalized functions, whose singularities are concentrated on a single ray in phase space, which led him to make essential contributions to hypoelliptic operators and to a very successful and influential calculus of Toeplitz operators with applications to spectral and index theory. Other topics treated here include microlocal analysis, star products and deformation quantization as well as problems in several complex variables, index theory and geometric quantization. This book will appeal to both experts in the field and students who are new to this subject.
