Trace Formulas
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| Author | : Steven Lord |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 4197 |
| Release | : 2023-04-03 |
| Genre | : Mathematics |
| ISBN | : 3110700247 |
This 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 | : Karl Egil Aubert |
| Publisher | : Academic Press |
| Total Pages | : 537 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483216233 |
Number Theory, Trace Formulas and Discrete Groups: Symposium in Honor of Atle Selberg Oslo, Norway, July 14-21, 1987 is a collection of papers presented at the 1987 Selberg Symposium, held at the University of Oslo. This symposium contains 30 lectures that cover the significant contribution of Atle Selberg in the field of mathematics. This book is organized into three parts encompassing 29 chapters. The first part presents a brief introduction to the history and developments of the zeta-function. The second part contains lectures on Selberg's considerable research studies on understanding the principles of several aspects of mathematics, including in modular forms, the Riemann zeta function, analytic number theory, sieve methods, discrete groups, and trace formula. The third part is devoted to Selberg's further research works on these topics, with particular emphasis on their practical applications. Some of these research studies, including the integral representations of Einstein series and L-functions; first eigenvalue for congruence groups; the zeta function of a Kleinian group; and the Waring's problem are discussed. This book will prove useful to mathematicians, researchers, and students.
| Author | : Werner Müller |
| Publisher | : Springer |
| Total Pages | : 581 |
| Release | : 2016-09-20 |
| Genre | : Mathematics |
| ISBN | : 3319414240 |
Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.
| Author | : Werner Müller |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2021 |
| Genre | : |
| ISBN | : 9783030685072 |
A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume. The present volume is the third and final in this series and focuses on relative trace formulas in relation to special values of L-functions, integral representations, arithmetic cycles, theta correspondence and branching laws. The first volume focused on Arthur's trace formula, and the second volume focused on methods from algebraic geometry and representation theory. The three proceedings volumes have provided a snapshot of some of the current research, in the hope of stimulating further research on these topics. The collegial format of the symposia allowed a homogeneous set of experts to isolate key difficulties going forward and to collectively assess the feasibility of diverse approaches.
| Author | : Fritz Gesztesy |
| Publisher | : Cambridge University Press |
| Total Pages | : 522 |
| Release | : 2003-06-05 |
| Genre | : Mathematics |
| ISBN | : 9781139439411 |
The focus of this book is on algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions, also known as soliton equations. Explicitly treated integrable models include the KdV, AKNS, sine-Gordon, and Camassa-Holm hierarchies as well as the classical massive Thirring system. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The formalism presented includes trace formulas, Dubrovin-type initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses techniques from the theory of differential equations, spectral analysis, and elements of algebraic geometry (most notably, the theory of compact Riemann surfaces). The presentation is rigorous, detailed, and self-contained, with ample background material provided in various appendices. Detailed notes for each chapter together with an exhaustive bibliography enhance the presentation offered in the main text.
| Author | : John Walkenbach |
| Publisher | : John Wiley & Sons |
| Total Pages | : 242 |
| Release | : 2007-01-06 |
| Genre | : Computers |
| ISBN | : 0470106840 |
Fast answers to frequently asked questions Excel 2007 essentials at your fingertips! If you like your answers quick and your information up-to-date, look no further. With this concise, superbly organized reference, you'll quickly find just what you need to know about navigating the new interface; using the Ribbon and Quick Access toolbar; saving, protecting, and recovering workbook files; entering and editing data; creating formulas and functions, and much more.
| Author | : Renate A. Schmidt |
| Publisher | : Springer |
| Total Pages | : 385 |
| Release | : 2017-09-04 |
| Genre | : Computers |
| ISBN | : 3319669028 |
This book contains the proceedings of the 26th International Conference on Automated Reasoning with Analytics Tableaux and Related Methods, TABLEAUX 2017, held in Brasília, Bazil, in September 2017. The 19 contributed papers presented in this volume were carefully reviewed and selected from 27 submissions.They are organized in topical sections named: Sequent systems; tableaux; transitive closure and cyclic proofs; formalization and complexity. Also included are papers of three invited speakers.
| Author | : Guillermo Segundo Ferreyra |
| Publisher | : CRC Press |
| Total Pages | : 468 |
| Release | : 1994-10-20 |
| Genre | : Mathematics |
| ISBN | : 9780824792879 |
Based on the lnternational Conference on Evolution Equations held recently at Louisiana State University, Baton Rouge, this work presents significant new research papers and state-of-the-art surveys on evolution equations and related fields. Important applications of evolution equations to problems in quantum theory, fluid dynamics, engineering, and biology are highlighted.
| Author | : Greg Harvey |
| Publisher | : John Wiley & Sons |
| Total Pages | : 411 |
| Release | : 2004-11-11 |
| Genre | : Computers |
| ISBN | : 0764583999 |
Covering formulas, charts, data lists, macros, and versions 2000, 2002, and 2003, this book offers more than seventy easy-to-follow techniques that show both new and experienced Excel users how to save time and avoid tedious or redundant tasks. Bestselling author Greg Harvey includes information on customizing Excel's menus and toolbars; modifying Excel's editing settings; using add-ins, AutoCorrect, AutoFill, AutoFormat, and data validation; copying and moving data between worksheets; encrypting workbook files; creating external database queries; converting worksheet data and charts into Web pages; and much more. * Written by Greg Harvey, one of the bestselling technology authors of all time, whose books have combined sales of more than four million copies * A unique, two-column format makes it easy for readers to grasp and apply each technique-and begin working more efficiently
| Author | : Tuncay Aktosun |
| Publisher | : Springer Nature |
| Total Pages | : 631 |
| Release | : 2020-05-19 |
| Genre | : Mathematics |
| ISBN | : 3030384314 |
Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schrödinger equation on the half line with the general selfadjoint boundary condition. The existence, uniqueness, construction, and characterization aspects are treated with mathematical rigor, and physical insight is provided to make the material accessible to mathematicians, physicists, engineers, and applied scientists with an interest in scattering and inverse scattering. The material presented is expected to be useful to beginners as well as experts in the field. The subject matter covered is expected to be interesting to a wide range of researchers including those working in quantum graphs and scattering on graphs. The theory presented is illustrated with various explicit examples to improve the understanding of scattering and inverse scattering problems. The monograph introduces a specific class of input data sets consisting of a potential and a boundary condition and a specific class of scattering data sets consisting of a scattering matrix and bound-state information. The important problem of the characterization is solved by establishing a one-to-one correspondence between the two aforementioned classes. The characterization result is formulated in various equivalent forms, providing insight and allowing a comparison of different techniques used to solve the inverse scattering problem. The past literature treated the type of boundary condition as a part of the scattering data used as input to recover the potential. This monograph provides a proper formulation of the inverse scattering problem where the type of boundary condition is no longer a part of the scattering data set, but rather both the potential and the type of boundary condition are recovered from the scattering data set.
