Functional analysis and transforms

This book deals with boundary value problems for analytic functions with applications to singular integral equations.

This volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions.

With an addendum by Wu Congxin (Harbin Institute of Technology)Linear Functional Analysis resulted from a series of lectures Orlicz gave in Beijing, China, 1958.

This book deals with the theory and some applications of integral transforms that involve integration with respect to an index or parameter of a special function of hypergeometric type as the kernel (index transforms).

This book contains a systematic study of ecological communities of two or three interacting populations.

This book is the first monograph on a new powerful method discovered by the author for the study of nonlinear dynamical systems relying on reduction of nonlinear differential equations to the linear abstract Schrodinger-like equation in Hilbert space.

The spaces of functions with derivatives in Lp, called the Sobolev spaces, play an important role in modern analysis.

How should information be measured?

This book offers an elementary and self-contained introduction to many fundamental issues concerning approximate solutions of operator equations formulated in an abstract Banach space setting, including important topics such as solvability, computational schemes, convergence, stability and error estimates.

This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which they require.

This book takes a comprehensive look at mean value theorems and their connection with functional equations.

This book presents a systematic course on general orthogonal polynomials and Fourier series in orthogonal polynomials.

This book deals mainly with linear and nonlinear parabolic equations and systems of second order.

New Edition: Lipschitz Algebras (2nd Edition)The Lipschitz algebras Lip(M), for M a complete metric space, are quite analogous to the spaces C(I ) and Linfinity(X), for I a compact Hausdorff space and X a I -finite measure space.

This book presents the basic algorithms, the main theoretical results, and some applications of spectral methods.

The topics discussed in this book can be classified into three parts:(i) Gaussian processes.

Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations.

This authoritative book provides comprehensive coverage of practical Fourier analysis.

The subject of complex vector functional equations is a new area in the theory of functional equations.

Special functions and q-series are currently very active areas of research which overlap with many other areas of mathematics, such as representation theory, classical and quantum groups, affine Lie algebras, number theory, harmonic analysis, and mathematical physics.

This book outlines the modern theory of functional equations and inequalities in several variables.

This book is a collection of original papers on microlocal analysis, Fourier analysis in the complex domain, generalized functions and related topics.

In this book, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebras, and circular filters which characterize absolute values on polynomials and make a nice tree structure.

The papers included in this volume deal with the following topics: convex analysis, operator theory, interpolation theory, theory of real functions, theory of analytic functions, bifurcation theory, Fourier analysis, functional analysis, measure theory, geometry of Banach spaces, history of mathematics.

The relatively new concepts of the Henstock-Kurzweil and McShane integrals based on Riemann type sums are an interesting challenge in the study of integration of Banach space-valued functions.

This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrodinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology.

Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago.

Distribution Models Theory is a revised edition of papers specially selected by the Scientific Committee for the Fifth Workshop of Spanish Scientific Association of Applied Economy on Distribution Models Theory held in Granada (Spain) in September 2005.

This book (Vista II), is a sequel to Vistas of Special Functions (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zeta-functions.

The book provides a comprehensive overview of the characterizations of real normed spaces as inner product spaces based on norm derivatives and generalizations of the most basic geometrical properties of triangles in normed spaces.

In the early 1960s, by using techniques from the model theory of first-order logic, Robinson gave a rigorous formulation and extension of Leibniz' infinitesimal calculus.

In the last forty years, nonlinear analysis has been broadly and rapidly developed.

This proceedings is a collection of articles by front-line researchers in Mathematical Analysis, giving the reader a wide perspective of the current research in several areas like Functional Analysis, Complex Analysis and Measure Theory.

This is the only book that deals comprehensively with fixed point theorems throughout mathematics.

The book is devoted to the structural analysis of vector and random (or both) valued countably additive measures, and used for integral representations of random fields.

The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications.

This book provides a broad introduction to the generalized inverses, Moore-Penrose inverses, Drazin inverses and T-S outer generalized inverses and their perturbation analyses in the spaces of infinite-dimensional.

Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences.

This book collects papers on major topics in fixed point theory and its applications.

This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician.

The book focuses on how to implement discrete wavelet transform methods in order to solve problems of reaction-diffusion equations and fractional-order differential equations that arise when modelling real physical phenomena.

This book provides self-contained proofs of the existence of ground states of several interaction models in quantum field theory.

Some problems in mathematical analysis (e.

The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces.

This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.

This book introduces the concept of Polya property for holomorphic functions of two and several variables.

'This is a book to be read and worked with.

This volume contains short courses and recent papers by several specialists in different fields of Mathematical Analysis.

This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level.