Functional analysis and transforms

A powerful introduction to one of the most active areas of theoretical and applied mathematics This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented.

A unique synthesis of the three existing Fourier-analytic treatments of quadratic reciprocity.

A superb text on the fundamentals of Lebesgue measure and integration.

A novel, practical introduction to functional analysis In the twenty years since the first edition of Applied Functional Analysis was published, there has been an explosion in the number of books on functional analysis.

This book provides a modern and up-to-date treatment of the Hilberttransform of distributions and the space of periodic distributions.

Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty.

Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty.

In recent years, Fourier transform methods have emerged as one of the major methodologies for the evaluation of derivative contracts, largely due to the need to strike a balance between the extension of existing pricing models beyond the traditional Black-Scholes setting and a need to evaluate prices consistently with the market quotes.

In recent years, Fourier transform methods have emerged as one of the major methodologies for the evaluation of derivative contracts, largely due to the need to strike a balance between the extension of existing pricing models beyond the traditional Black-Scholes setting and a need to evaluate prices consistently with the market quotes.

Operator Methods in Quantum Mechanics demonstrates the power of operator theory as a tool in the study of quantum mechanics.

Methods of Modern Mathematical Physics, Volume I: Functional Analysis discusses the fundamental principles of functional analysis in modern mathematical physics.

This book makes a significant inroad into the unexpectedly difficult question of existence of Frechet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces.

- Follows a standard course curriculum.

For more than forty years, the equation y'(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes.

Building on the basic concepts through a careful discussion of covalence, (while adhering resolutely to sequences where possible), the main part of the book concerns the central topics of continuity, differentiation and integration of real functions.

Holomorphic Automorphism Groups in Banach Spaces

This volume contains 22 articles on topics of current interest in functional analysis, operator theory and related areas.

Analytic Sets in Locally Convex Spaces

Functional Analysis, Holomorphy and Approximation Theory II

Differential Calculus and Holomorphy

Nuclear and Conuclear Spaces

Functional Analysis: Surveys and Recent Results II

Approximation Theory and Functional Analysis

Saks Spaces and Applications to Functional Analysis

Applied Dimensional Analysis and Modeling provides the full mathematical background and step-by-step procedures for employing dimensional analyses, along with a wide range of applications to problems in engineering and applied science, such as fluid dynamics, heat flow, electromagnetics, astronomy and economics.

The book addresses many topics not usually in "e;second course in complex analysis"e; texts.

This text provides a thorough explanation of the underlying principles of spectral analysis and the full range of estimation techniques used in engineering.

Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces.

Handbook of the Geometry of Banach Spaces

Geometric Function Theory is a central part of Complex Analysis (one complex variable).

Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions.

Banach Spaces

This book has evolved from the lecture course on Functional Analysis I had given several times at the ETH.

"e;Beyond Wavelets"e; presents state-of-the-art theories, methods, algorithms, and applications of mathematical extensions for classical wavelet analysis.

Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations.

En el libro Precálculo con aplicaciones a las funciones se presenta el concepto de función y sus características: dominio, rango, cortes con los ejes, intervalos de monotonía, intervalos en los que la función es positiva o negativa, entre otras.

Intended a both a textbook and a reference, Fourier Acoustics develops the theory of sound radiation uniquely from the viewpoint of Fourier Analysis.

The book provides the reader with the different types of functional equations that s/he can find in practice, showing, step by step, how they can be solved.

Dynamical Systems Method for Solving Nonlinear Operator Equations is of interest to graduate students in functional analysis, numerical analysis, and ill-posed and inverse problems especially.

This volume gives a state of the art of triangular norms which can be used for the generalization of several mathematical concepts, such as conjunction, metric, measure, etc.

This book collects 10 mathematical essays on approximation in Analysis and Topology by some of the most influent mathematicians of the last third of the 20th Century.

For more than forty years, the equation y'(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes.

Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis.