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Author: Steven Lord
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110378051
Category : Mathematics
Languages : en
Pages : 416
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Book Description
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 GmbH & Co KG
ISBN: 3110378051
Category : Mathematics
Languages : en
Pages : 416
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Book Description
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: Volker Diekert
Publisher: World Scientific
ISBN: 9789810220587
Category : Computers
Languages : en
Pages : 596
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Book Description
The theory of traces employs techniques and tackles problems from quite diverse areas which include formal language theory, combinatorics, graph theory, algebra, logic, and the theory of concurrent systems. In all these areas the theory of traces has led to interesting problems and significant results. It has made an especially big impact in formal language theory and the theory of concurrent systems. In both these disciplines it is a well-recognized and dynamic research area. Within formal language theory it yields the theory of partially commutative monoids, and provides an important connection between languages and graphs. Within the theory of concurrent systems it provides an important formal framework for the analysis and synthesis of concurrent systems.This monograph covers all important research lines of the theory of traces; each chapter is devoted to one research line and is written by leading experts. The book is organized in such a way that each chapter can be read independently ? and hence it is very suitable for advanced courses or seminars on formal language theory, the theory of concurrent systems, the theory of semigroups, and combinatorics. An extensive bibliography is included. At present, there is no other book of this type on trace theory.
Author: Wilhelm Laundhardt
Publisher: Forgotten Books
ISBN: 9781528106597
Category : Technology & Engineering
Languages : en
Pages : 354
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Book Description
Excerpt from The Theory of the Trace, Vol. 1: Being a Discussion of the Principles of Location; The Commercial Trace HE Theory of the Trace is divided into three parts. The first compre hends the Commercial Location of the Trace; the second, the Technical Location of Railways 1 the third treats of the Technical Location of Roads. The present Work treats of the Commercial Location of Lines, viz., the location of the trace in its financial aspect. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Steven Lord
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110392313
Category : Mathematics
Languages : en
Pages : 304
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Book Description
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
ISBN: 311026255X
Category : Mathematics
Languages : en
Pages : 468
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Book Description
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: Yuri Kordyukov
Publisher: Springer Nature
ISBN: 3031699262
Category :
Languages : en
Pages : 167
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Book Description
Author: Diana Pharaoh Francis
Publisher: Bell Bridge Books
ISBN: 1611944953
Category : Fiction
Languages : en
Pages :
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Book Description
4 1⁄2 Stars TOP PICK --RT Magazine "Best book of the year!" --Faith Hunter, New York Times Bestselling Author of the Jane Yellowrock series Even the most powerful tracers can't track you if the magical trace you leave behind is too old. But I can track almost anything, even dead trace. That makes me a unicorn, the Tooth Fairy, the Easter Bunny, and the Loch Ness Monster all rolled into one. In a word, I am unique. A very special snowflake. And if anyone ever finds out, I'll be dead or a slave to one of the Tyet criminal factions. Riley Hollis has quietly traced kidnapped children and quietly tipped the cops to their whereabouts one too many times. Now she's on the radar of Detective Clay Price, a cop in the pocket of a powerful magic Tyet faction. When he blackmails her into doing a dangerous trace for him, Riley will have to break every rule that keeps her safe. Or become a Tyet pawn in a deadly, magical war. "Diana Pharaoh Francis has crafted a winning paranormal mystery that mixes sizzling sex, magic, and a decades old search for artifacts that could change their world." --Jeanne Stein, Bestselling Author of The Anna Strong Chronicles "Trace of Magic caught me up fast and pulled me in tight for a fun, action-and-sass adventure full of deadly magic and dangerous romance. Diana Pharaoh Francis delivers a downright terrific read." --Devon Monk, nationally Bestselling Author of Hell Bent
Author: Dennis A. Hejhal
Publisher:
ISBN: 9783662175323
Category :
Languages : en
Pages : 820
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Book Description
Author: Dmitri Rabounski
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 88
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Book Description
Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics.
Author: Herman Gray
Publisher: U of Minnesota Press
ISBN: 0816655979
Category : Social Science
Languages : en
Pages : 326
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Book Description
Questions national identity by investigating the creation of memory and meaning.
