Current Topics in Summability Theory and Applications, Hemen Dutta; Billy E. Rhoades
Автор: P.N. Natarajan Название: An Introduction to Ultrametric Summability Theory ISBN: 813223443X ISBN-13(EAN): 9788132234432 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a brief survey of the research to date in ultrametric summability theory, which is a fusion of a classical branch of mathematics (summability theory) with a modern branch of analysis (ultrametric analysis).
Автор: P.N. Natarajan Название: Classical Summability Theory ISBN: 9811042047 ISBN-13(EAN): 9789811042041 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents results about certain summability methods, such as the Abel method, the Norlund method, the Weighted mean method, the Euler method and the Natarajan method, which have not appeared in many standard books.
Автор: Delabaere Название: Divergent Series, Summability and Resurgence III ISBN: 3319289993 ISBN-13(EAN): 9783319289991 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The aim of this volume is two-fold. First, to show howthe resurgent methods introduced in volume 1 can be applied efficiently in anon-linear setting; to this end further properties of the resurgence theorymust be developed. Second, to analyze the fundamental example of the FirstPainlev? equation. The resurgent analysis of singularities is pushed all theway up to the so-called “bridge equation”, which concentrates allinformation about the non-linear Stokes phenomenon at infinity of the First Painlev?equation. The third in a series of three, entitled Divergent Series, Summability andResurgence, this volume is aimed at graduate students, mathematicians andtheoretical physicists who are interested in divergent power series and relatedproblems, such as the Stokes phenomenon. The prerequisites are a workingknowledge of complex analysis at the first-year graduate level and of thetheory of resurgence, as presented in volume 1.
Автор: Mitschi Название: Divergent Series, Summability and Resurgence I ISBN: 3319287354 ISBN-13(EAN): 9783319287355 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. The Riemann-Hilbert problem is discussed from Bolibrukh’s point of view. The second part expounds 1-summability and Ecalle’s theory of resurgence under fairly general conditions. It contains numerous examples and presents an analysis of the singularities in the Borel plane via “alien calculus”, which provides a full description of the Stokes phenomenon for linear or non-linear differential or difference equations. The first of a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists interested in geometric, algebraic or local analytic properties of dynamical systems. It includes useful exercises with solutions. The prerequisites are a working knowledge of elementary complex analysis and differential algebra.
Автор: P.N. Natarajan Название: An Introduction to Ultrametric Summability Theory ISBN: 8132225589 ISBN-13(EAN): 9788132225584 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a brief survey of the research to date in ultrametric summability theory, which is a fusion of a classical branch of mathematics (summability theory) with a modern branch of analysis (ultrametric analysis).
Автор: Loday-Richaud Название: Divergent Series, Summability and Resurgence II ISBN: 3319290746 ISBN-13(EAN): 9783319290744 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Addressing the question how to “sum” a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answers by presenting and comparing the various theories of k-summability and multisummability. These theories apply in particular to all solutions of ordinary differential equations.The volume includes applications, examples and revisits, from a cohomological point of view, the group of tangent-to-identity germs of diffeomorphisms of C studied in volume 1. With a view to applying the theories to solutions of differential equations, a detailed survey of linear ordinary differential equations is provided, which includes Gevrey asymptotic expansions, Newton polygons, index theorems and Sibuya’s proof of the meromorphic classification theorem that characterizes the Stokes phenomenon for linear differential equations.This volume is the second in a series of three, entitled Divergent Series, Summability and Resurgence. It is aimed at graduate students and researchers in mathematics and theoretical physics who are interested in divergent series, Although closely related to the other two volumes, it can be read independently.
Описание: This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces.
Автор: Joseph A. Ball; J. William Helton; Martin Klaus; L Название: Current Trends in Operator Theory and its Applications ISBN: 3034896085 ISBN-13(EAN): 9783034896085 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.
Автор: Joseph A. Ball; J. William Helton; Martin Klaus; L Название: Current Trends in Operator Theory and its Applications ISBN: 376437067X ISBN-13(EAN): 9783764370671 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.
Автор: Vladimir V. Mityushev; Michael V. Ruzhansky Название: Current Trends in Analysis and Its Applications ISBN: 3319125761 ISBN-13(EAN): 9783319125763 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book is a collection of papers from the 9th International ISAAC Congress held in 2013 in Krak w, Poland. The papers are devoted to recent results in mathematics, focused on analysis and a wide range of its applications. These include up-to-date findings of the following topics:
- Differential Equations: Complex and Functional Analytic Methods
- Nonlinear PDE
- Qualitative Properties of Evolution Models
- Differential and Difference Equations
- Toeplitz Operators
- Wavelet Theory
- Topological and Geometrical Methods of Analysis
- Queueing Theory and Performance Evaluation of Computer Networks
- Clifford and Quaternion Analysis
- Fixed Point Theory
- M-Frame Constructions
- Spaces of Differentiable Functions of Several Real Variables
Generalized Functions
- Analytic Methods in Complex Geometry
- Topological and Geometrical Methods of Analysis
- Integral Transforms and Reproducing Kernels
- Didactical Approaches to Mathematical Thinking
Their wide applications in biomathematics, mechanics, queueing models, scattering, geomechanics etc. are presented in a concise, but comprehensible way, such that further ramifications and future directions can be immediately seen.
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