Functional analysis and transforms

This concise volume presents an overview of equations of mathematical physics and generalized functions.

The book provides a comprehensive exposition of all major topics in digital signal processing (DSP).

This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that admit a characteristic matrix function in a Banach space setting.

This book discusses different types of distance functions defined in an n-D integral space for their usefulness in approximating the Euclidean metric.

The book contains a collection of more than 800 problems from all main chapters of functional analysis, with theoretical background and solutions.

This book presents modern methods in functional analysis and operator theory along with their applications in recent research.

This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov-Bernoulli (non)equivalence problem, and presents recent results in this field.

Theoretically, multiwavelets hold significant advantages over standard wavelets, particularly for solving more complicated problems, and hence are of great interest.

This monograph presents the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry.

This book provides an in depth discussion of Loewner's theorem on the characterization of matrix monotone functions.

This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis.

This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory.

This monograph presents the first unified exposition of generalized multiresolution analyses.

This book sketches a path for newcomers into the theory of harmonic analysis on the real line.

The book addresses the minimization of special lower semicontinuous functionals over closed balls in metric spaces, called the approximate variation.

This book collects a series of important works on noncommutative harmonic analysis on homogeneous spaces and related topics.

This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups.

This textbook provides a coherent, integrated look at various topics from undergraduate analysis.

The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results.

This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications.

This book presents 30 articles on the topic areas discussed at the 30th "e;International Workshop on Operator Theory and its Applications"e;, held in Lisbon in July 2019.

In this book the authors use a technique based on recurrence relations to study the convergence of the Newton method under mild differentiability conditions on the first derivative of the operator involved.

This book is devoted to the qualitative theory of functional dynamic equations on time scales, providing an overview of recent developments in the field as well as a foundation to time scales, dynamic systems, and functional dynamic equations.

This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research.

This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak-Orlicz spaces) with minimal assumptions on the generating F-function.

Over the past 25 years, Carleman estimates have become an essential tool in several areas related to partial differential equations such as control theory, inverse problems, or fluid mechanics.

This book contains both expository articles and original research in the areas of function theory and operator theory.

This self-contained text introduces Euclidean Fourier Analysis to graduate students who have completed courses in Real Analysis and Complex Variables.

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

This book presents a wide-ranging approach to operator-valued measures and integrals of both vector-valued and set-valued functions.

This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes.

Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory.

When first published in 1959, this book was the basis of a two-semester course in complex analysis for upper undergraduate and graduate students.

This book on functional analysis covers all the basics of the subject (normed, Banach and Hilbert spaces, Lebesgue integration and spaces, linear operators and functionals, compact and self-adjoint operators, small parameters, fixed point theory) with a strong focus on examples, exercises and practical problems, thus making it ideal as course material but also as a reference for self-study.

100 gelöste Übungen: Multiplikation positiver und negativer Zahlen – Einfach üben, ohne Theorie!

A First Course on Orthogonal Polynomials: Classical Orthogonal Polynomials and Related Topics provides an introduction to orthogonal polynomials and special functions aimed at graduate students studying these topics for the first time.

'The book is very well-written by one of the leading figures in the subject.

This volume contains an important progress on the theory of subnormal operators in the past thirty years, which was developed by the author and his collaborators.

This is the first textbook-type presentation of tropical value distribution theory.

The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much vigorous research by functional analysts, function-space analysts and specialists in nonlinear analysis.

This book presents a unified treatise of the theory of measure and integration.

The objective of this symposium is to discuss the recent developments in the various areas of functional analysis.

This volume contains current works of researchers from twelve different countries on fixed point theory and applications.

Iteration theory has its roots in the operation of substituting functions into itself.

These proceedings concentrate on recent results in the following fields of complex analysis: complex methods for solving boundary value problems with piecewise smooth boundary data, complex methods for linear and nonlinear differential equations and systems of second order, and applications of scales of Banach spaces to initial value problems.

This volume contains refereed state-of-the-art research articles and extensive surveys on the various aspects of interaction of complex variables and scientific computation as well as on related areas such as function theory and approximation theory.

This book contains the invited contributions to the 6th International Conference on Path Integrals from peV to TeV, held in Florence in 1998.

The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets, mainly on the base space n.