Set Singular Traces Volume 1 2
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Author |
: |
Publisher |
: |
Total Pages |
: 0 |
Release |
: 2023-05-22 |
ISBN-10 |
: 3110703181 |
ISBN-13 |
: 9783110703184 |
Rating |
: 4/5 (81 Downloads) |
Synopsis [Set Singular Traces, Volume 1+2] by :
This book is the second edition of the first complete study and monograph dedicated to singular traces. The first volume offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properties on ideals of compact operators, updated in this second edition on the fundamental new approach for compact operators, the Pietsch correspondence. For mathematical physicists and other users of Connes' noncommutative geometry the text offers a complete reference to Dixmier traces and associated formulas involving residues of spectral zeta functions and asymptotics of partition functions. An operator based theory of pseudodifferential operators is used to detail the deep association between the noncommutative residue in differential geometry and singular traces. The second volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied. Applications in Connes' noncommutative geometry that are detailed include integration of quantum differentials, measures on fractals, and Connes' character formula concerning the Hochschild class of the Chern character.
Author |
: Steven Lord |
Publisher |
: Walter de Gruyter GmbH & Co KG |
Total Pages |
: 416 |
Release |
: 2021-07-19 |
ISBN-10 |
: 9783110378054 |
ISBN-13 |
: 3110378051 |
Rating |
: 4/5 (54 Downloads) |
Synopsis Theory by : Steven Lord
This book is the second edition of the first complete study and monograph dedicated to singular traces. The text offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properties on ideals of compact operators on a separable Hilbert space. The second edition has been updated on the fundamental approach provided by Albrecht Pietsch. For mathematical physicists and other users of Connes’ noncommutative geometry the text offers a complete reference to traces on weak trace class operators, including Dixmier traces and associated formulas involving residues of spectral zeta functions and asymptotics of partition functions.
Author |
: Steven Lord |
Publisher |
: Walter de Gruyter |
Total Pages |
: 468 |
Release |
: 2012-12-19 |
ISBN-10 |
: 9783110262551 |
ISBN-13 |
: 311026255X |
Rating |
: 4/5 (51 Downloads) |
Synopsis Singular Traces by : Steven Lord
This book is the first complete study and monograph dedicated to singular traces. The text mathematically formalises the study of traces in a self contained theory of functional analysis. Extensive notes will treat the historical development. The final section will contain the most complete and concise treatment known of the integration half of Connes' quantum calculus. Singular traces are traces on ideals of compact operators that vanish on the subideal of finite rank operators. Singular traces feature in A. Connes' interpretation of noncommutative residues. Particularly the Dixmier trace,which generalises the restricted Adler-Manin-Wodzicki residue of pseudo-differential operators and plays the role of the residue for a new catalogue of 'geometric' spaces, including Connes-Chamseddine standard models, Yang-Mills action for quantum differential forms, fractals, isospectral deformations, foliations and noncommutative index theory. The theory of singular traces has been studied after Connes' application to non-commutative geometry and physics by various authors. Recent work by Nigel Kalton and the authors has advanced the theory of singular traces.Singular traces can be equated to symmetric functionals of symmetric sequence or function spaces, residues of zeta functions and heat kernel asymptotics, and characterised by Lidksii and Fredholm formulas. The traces and formulas used in noncommutative geometry are now completely understood in this theory, with surprising new mathematical and physical consequences. For mathematical readers the text offers fundamental functional analysis results and, due to Nigel Kalton's contribution, a now complete theory of traces on compact operators. For mathematical physicists and other users of Connes' noncommutative geometry the text offers a complete reference to Dixmier traces and access to the deeper mathematical features of traces on ideals associated to the harmonic sequence. These features, not known and not discussed in general texts on noncommutative geometry, are undoubtably physical and probe to the fascinating heart of classical limits and quantization.
Author |
: Yuval Z. Flicker |
Publisher |
: Springer |
Total Pages |
: 217 |
Release |
: 2006-11-14 |
ISBN-10 |
: 9783540392026 |
ISBN-13 |
: 3540392025 |
Rating |
: 4/5 (26 Downloads) |
Synopsis The Trace Formula and Base Change for GL (3) by : Yuval Z. Flicker
Author |
: William P. Thurston |
Publisher |
: Princeton University Press |
Total Pages |
: 323 |
Release |
: 2014-10-31 |
ISBN-10 |
: 9781400865321 |
ISBN-13 |
: 1400865328 |
Rating |
: 4/5 (21 Downloads) |
Synopsis Three-Dimensional Geometry and Topology, Volume 1 by : William P. Thurston
This book develops some of the extraordinary richness, beauty, and power of geometry in two and three dimensions, and the strong connection of geometry with topology. Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning (definitions, theorems, and proofs), but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty. This book was the origin of a grand scheme developed by Thurston that is now coming to fruition. In the 1920s and 1930s the mathematics of two-dimensional spaces was formalized. It was Thurston's goal to do the same for three-dimensional spaces. To do this, he had to establish the strong connection of geometry to topology--the study of qualitative questions about geometrical structures. The author created a new set of concepts, and the expression "Thurston-type geometry" has become a commonplace. Three-Dimensional Geometry and Topology had its origins in the form of notes for a graduate course the author taught at Princeton University between 1978 and 1980. Thurston shared his notes, duplicating and sending them to whoever requested them. Eventually, the mailing list grew to more than one thousand names. The book is the culmination of two decades of research and has become the most important and influential text in the field. Its content also provided the methods needed to solve one of mathematics' oldest unsolved problems--the Poincaré Conjecture. In 2005 Thurston won the first AMS Book Prize, for Three-dimensional Geometry and Topology. The prize recognizes an outstanding research book that makes a seminal contribution to the research literature. Thurston received the Fields Medal, the mathematical equivalent of the Nobel Prize, in 1982 for the depth and originality of his contributions to mathematics. In 1979 he was awarded the Alan T. Waterman Award, which recognizes an outstanding young researcher in any field of science or engineering supported by the National Science Foundation.
Author |
: Deepak Pathak |
Publisher |
: Disha Publications |
Total Pages |
: 1125 |
Release |
: 2019-05-30 |
ISBN-10 |
: 9789388919623 |
ISBN-13 |
: 9388919629 |
Rating |
: 4/5 (23 Downloads) |
Synopsis GATE 2020 Mechanical Engineering Guide with 10 Practice Sets (6 in Book + 4 Online) 7th edition by : Deepak Pathak
• ‘GATE Mechanical Engineering Guide 2020 with 10 Practice Sets - 6 in Book + 4 Online Tests - 7th edition’ for GATE exam contains exhaustive theory, past year questions, practice problems and Mock Tests. • Covers past 15 years questions. • Exhaustive EXERCISE containing 100-150 questions in each chapter. In all contains around 5300 MCQs. • Solutions provided for each question in detail. • The book provides 10 Practice Sets - 6 in Book + 4 Online Tests designed exactly on the latest pattern of GATE exam.
Author |
: Disha Experts |
Publisher |
: Disha Publications |
Total Pages |
: 1065 |
Release |
: 2019-05-30 |
ISBN-10 |
: 9789388919647 |
ISBN-13 |
: 9388919645 |
Rating |
: 4/5 (47 Downloads) |
Synopsis GATE 2020 Electrical Engineering Guide with 10 Practice Sets (6 in Book + 4 Online) 7th edition by : Disha Experts
• ‘GATE Electrical Engineering Guide 2020 with 10 Practice Sets - 6 in Book + 4 Online Tests - 7th edition’ for GATE exam contains exhaustive theory, past year questions, practice problems and Mock Tests. • Covers past 15 years questions. • Exhaustive EXERCISE containing 100-150 questions in each chapter. In all contains around 5250 MCQs. • Solutions provided for each question in detail. • The book provides 10 Practice Sets - 6 in Book + 4 Online Tests designed exactly on the latest pattern of GATE exam.
Author |
: Disha Experts |
Publisher |
: Disha Publications |
Total Pages |
: 1045 |
Release |
: |
ISBN-10 |
: 9789388026659 |
ISBN-13 |
: 9388026659 |
Rating |
: 4/5 (59 Downloads) |
Synopsis GATE 2019 Electrical Engineering Masterpiece with 10 Practice Sets (6 in Book + 4 Online) 6th edition by : Disha Experts
• ‘GATE Electrical Engineering Masterpiece 2019 with 10 Practice Sets - 6 in Book + 4 Online Tests - 6th edition’ for GATE exam contains exhaustive theory, past year questions, practice problems and Mock Tests. • Covers past 14 years questions. • Exhaustive EXERCISE containing 100-150 questions in each chapter. In all contains around 5200 MCQs. • Solutions provided for each question in detail. • The book provides 10 Practice Sets - 6 in Book + 4 Online Tests designed exactly on the latest pattern of GATE exam.
Author |
: Deepak Pathak |
Publisher |
: Disha Publications |
Total Pages |
: 1089 |
Release |
: |
ISBN-10 |
: 9789388026673 |
ISBN-13 |
: 9388026675 |
Rating |
: 4/5 (73 Downloads) |
Synopsis GATE 2019 Mechanical Engineering Masterpiece with 10 Practice Sets (6 in Book + 4 Online) 6th edition by : Deepak Pathak
• ‘GATE Mechanical Engineering Masterpiece 2019 with 10 Practice Sets - 6 in Book + 4 Online Tests - 6th edition’ for GATE exam contains exhaustive theory, past year questions, practice problems and Mock Tests. • Covers past 14 years questions. • Exhaustive EXERCISE containing 100-150 questions in each chapter. In all contains around 5200 MCQs. • Solutions provided for each question in detail. • The book provides 10 Practice Sets - 6 in Book + 4 Online Tests designed exactly on the latest pattern of GATE exam.
Author |
: Dennis A. Hejhal |
Publisher |
: Springer |
Total Pages |
: 815 |
Release |
: 2006-11-15 |
ISBN-10 |
: 9783540409144 |
ISBN-13 |
: 3540409149 |
Rating |
: 4/5 (44 Downloads) |
Synopsis The Selberg Trace Formula for PSL (2,R) by : Dennis A. Hejhal