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Cubic Metaplectic Forms And Theta Functions
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Book Synopsis Cubic Metaplectic Forms and Theta Functions by : Nikolai Proskurin
Download or read book Cubic Metaplectic Forms and Theta Functions written by Nikolai Proskurin and published by Springer. This book was released on 2006-11-14 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory of metaplectic forms and in possible applications.
Book Synopsis Theta Functions by : Maruti Ram Murty
Download or read book Theta Functions written by Maruti Ram Murty and published by American Mathematical Soc.. This book was released on 1993-01-01 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains lectures on theta functions written by experts well known for excellence in exposition. The lectures represent the content of four courses given at the Centre de Recherches Mathematiques in Montreal during the academic year 1991-1992, which was devoted to the study of automorphic forms. Aimed at graduate students, the book synthesizes the classical and modern points of view in theta functions, concentrating on connections to number theory and representation theory. An excellent introduction to this important subject of current research, this book is suitable as a text in advanced graduate courses.
Book Synopsis Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms by : Michel Courtieu
Download or read book Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms written by Michel Courtieu and published by Springer Science & Business Media. This book was released on with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric Methods in the Algebraic Theory of Quadratic Forms by :
Download or read book Geometric Methods in the Algebraic Theory of Quadratic Forms written by and published by Springer Science & Business Media. This book was released on 2004 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry and Analysis of Automorphic Forms of Several Variables by : Yoshinori Hamahata
Download or read book Geometry and Analysis of Automorphic Forms of Several Variables written by Yoshinori Hamahata and published by World Scientific. This book was released on 2012 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers OCA Java exam 1Z0-850.This is an entry level Java cert exam. All you need is to pass one exam 1Z0-850 in order to pass. The topics covered include:Fundamental Object-Oriented ConceptsJava Implementation of Object-Oriented ConceptsAlgorithm Design and ImplementationJava Development FundamentalsJava Platforms and Integration TechnologiesClient TechnologiesServer TechnologiesWe give you knowledge information relevant to the exam specifications. To be able to succeed in the real exam, you'll need to apply your earned knowledge to the question scenarios. This ExamFOCUS book focuses on the more difficult topics that will likely make a difference in exam results.
Book Synopsis Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms by : Min Ho Lee
Download or read book Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms written by Min Ho Lee and published by Springer Science & Business Media. This book was released on 2004-05-13 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. In particular, it contains a comprehensive exposition of mixed automorphic forms that has never yet appeared in book form. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map. Both number-theoretic and algebro-geometric aspects of such connections and related topics are discussed.
Book Synopsis Quantization and Non-holomorphic Modular Forms by : André Unterberger
Download or read book Quantization and Non-holomorphic Modular Forms written by André Unterberger and published by Springer Science & Business Media. This book was released on 2000-08-28 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z).
Book Synopsis Differentiability of Six Operators on Nonsmooth Functions and P-Variation by : R. M. Dudley
Download or read book Differentiability of Six Operators on Nonsmooth Functions and P-Variation written by R. M. Dudley and published by Springer Science & Business. This book was released on 1999-06-21 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results.
Book Synopsis Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory by : Solomon Friedberg
Download or read book Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory written by Solomon Friedberg and published by American Mathematical Soc.. This book was released on 2006 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Dirichlet series are Dirichlet series in several complex variables. A multiple Dirichlet series is said to be perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere. The earliest examples came from Mellin transforms of metaplectic Eisenstein series and have been intensively studied over the last twenty years. More recently, many other examples have been discovered and it appears that all the classical theorems on moments of $L$-functions as well as the conjectures (such as those predicted by random matrix theory) can now be obtained via the theory of multiple Dirichlet series. Furthermore, new results, not obtainable by other methods, are just coming to light. This volume offers an account of some of the major research to date and the opportunities for the future. It includes an exposition of the main results in the theory of multiple Dirichlet series, and papers on moments of zeta- and $L$-functions, on new examples of multiple Dirichlet
Book Synopsis Harmonic Functions on Groups and Fourier Algebras by : Cho-Ho Chu
Download or read book Harmonic Functions on Groups and Fourier Algebras written by Cho-Ho Chu and published by Springer. This book was released on 2004-10-11 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of bounded harmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier algebras. Both spaces are shown to be the range of a contractive projection on a von Neumann algebra and therefore admit Jordan algebraic structures. This provides a natural setting to apply recent results from non-associative analysis, semigroups and Fourier algebras. Topics discussed include Poisson representations, Poisson spaces, quotients of Fourier algebras and the Murray-von Neumann classification of harmonic functionals.
Book Synopsis Combinatorial Stochastic Processes by : Jim Pitman
Download or read book Combinatorial Stochastic Processes written by Jim Pitman and published by Springer Science & Business Media. This book was released on 2006-05-11 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics and stochastic processes. There is particular focus on the theory of random combinatorial structures such as partitions, permutations, trees, forests, and mappings, and connections between the asymptotic theory of enumeration of such structures and the theory of stochastic processes like Brownian motion and Poisson processes.
Book Synopsis Tutorials in Mathematical Biosciences II by : James Sneyd
Download or read book Tutorials in Mathematical Biosciences II written by James Sneyd and published by Springer Science & Business Media. This book was released on 2005-06-22 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of cell types. Calcium plays a crucial role in cell physiology, and the study of its dynamics lends insight into many different cellular processes. In particular, calcium plays a central role in muscular contraction, olfactory transduction and synaptic communication, three of the topics to be addressed in detail in this book. In addition to the models, much of the underlying physiology is presented, so that readers may learn both the mathematics and the physiology, and see how the models are applied to specific biological questions. It is intended primarily as a graduate text or a research reference. It will serve as a concise and up-to-date introduction to all those who wish to learn about the state of calcium dynamics modeling, and how such models are applied to physiological questions.
Book Synopsis Random Times and Enlargements of Filtrations in a Brownian Setting by : Roger Mansuy
Download or read book Random Times and Enlargements of Filtrations in a Brownian Setting written by Roger Mansuy and published by Springer Science & Business Media. This book was released on 2006-02-10 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: In November 2004, M. Yor and R. Mansuy jointly gave six lectures at Columbia University, New York. These notes follow the contents of that course, covering expansion of filtration formulae; BDG inequalities up to any random time; martingales that vanish on the zero set of Brownian motion; the Azéma-Emery martingales and chaos representation; the filtration of truncated Brownian motion; attempts to characterize the Brownian filtration. The book accordingly sets out to acquaint its readers with the theory and main examples of enlargements of filtrations, of either the initial or the progressive kind. It is accessible to researchers and graduate students working in stochastic calculus and excursion theory, and more broadly to mathematicians acquainted with the basics of Brownian motion.
Author :Ole E. Barndorff-Nielsen Publisher :Springer Science & Business Media ISBN 13 :9783540244073 Total Pages :364 pages Book Rating :4.2/5 (44 download)
Book Synopsis Quantum Independent Increment Processes II by : Ole E. Barndorff-Nielsen
Download or read book Quantum Independent Increment Processes II written by Ole E. Barndorff-Nielsen and published by Springer Science & Business Media. This book was released on 2006 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures given at the school "Quantum Independent Increment Processes: Structure and Applications to Physics" held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald in March 9-22, 2003.
Download or read book Posn(R) and Eisenstein Series written by and published by Springer Science & Business Media. This book was released on 2005 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Tutorials in Mathematical Biosciences III by : Avner Friedman
Download or read book Tutorials in Mathematical Biosciences III written by Avner Friedman and published by Springer. This book was released on 2005-11-24 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretes growth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models the interaction between a tumor and the immune system. Chapter 5 is concerned with chemotherapy; it uses concepts from control theory to minimize obstacles arising from drug resistance and from cell cycle dynamics. Finally, Chapter 6 reviews mathematical results for various cancer models.
Book Synopsis Abstract Harmonic Analysis of Continuous Wavelet Transforms by : Hartmut Führ
Download or read book Abstract Harmonic Analysis of Continuous Wavelet Transforms written by Hartmut Führ and published by Springer. This book was released on 2005-01-17 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.
