Functional analysis and transforms

This book deals mainly with the study of convex functions and their behavior from the point of view of stability with respect to perturbations.

Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research.

In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian (LCA) groups.

Nonlinear partial differential equations has become one of the main tools of mod- ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes.

One of the fundamental ideas of mathematical analysis is the notion of a function; we use it to describe and study relationships among variable quantities in a system and transformations of a system.

This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years.

This book presents calculation methods that are used in both mathematical and theoretical physics.

This book lays the foundations for a theory on almost periodic stochastic processes and their applications to various stochastic differential equations, functional differential equations with delay, partial differential equations, and difference equations.

A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.

The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics.

This work covers two bases, both performance optimization strategies and a complete introduction to mathematical procedures required for a successful circuit design.

We live in a three-dimensional world.

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

This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019.

Numerical minimization of an objective function is analyzed in this book to understand solution algorithms for optimization problems.

Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals.

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

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.

This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones.

This book offers a brief, practically complete, and relatively simple introduction to functional analysis.

Through four editions this popular textbook attracted a loyal readership and widespread use.

This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals.

An accessible introduction to the geometric approach to Wigner''s theorem and its role in quantum mechanics.

Everything that you ever wanted to know about pathological Banach spaces.

The second part of the book concludes with Plancherel's theorem in Chapter 8.

This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.

The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics.

This monograph records progress in approximation theory and harmonic analysis on balls and spheres, and presents contemporary material that will be useful to analysts in this area.

Typically, undergraduates see real analysis as one of the most di?

Topics of this volume are close to scientific interests of Professor Maz'ya and use, directly or indirectly, the fundamental influential Maz'ya's works penetrating, in a sense, the theory of PDEs.

A study of large deviations for empirical measures and vector-valued additive functionals of general state space Markov chains.

This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics.

This book gives an introduction to biotransformations, the practice of harnessing biological catalysts for the preparation of useful chemicals.

Partitions, q-Series, and Modular Forms contains a collection of research and survey papers that grew out of a Conference on Partitions, q-Series and Modular Forms at the University of Florida, Gainesville in March 2008.

This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts.

This textbook introduces the study of partial differential equations using both analytical and numerical methods.

This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators.

The tread of this book is formed by two fundamental principles of Harmonic Analysis: the Plancherel Formula and the Poisson S- mation Formula.

This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups.

This book presents an introduction to the common ground between operator theory and linear systems theory.

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.

This book is devoted to unstable solutions of stochastic differential equations (SDEs).

This book offers a review of the theory of locally convex quasi *-algebras, authored by two of its contributors over the last 25 years.

The material accumulated and presented in this volume can be ex- plained easily.

This volume contains a selection of papers by the participants of the 6.

This first volume of a two-volume overview covers the basic theory of Banach spaces, harmonic analysis and probability.

Equations of the Ginzburg-Landau vortices have particular applications to a number of problems in physics, including phase transition phenomena in superconductors, superfluids, and liquid crystals.

Functional Analysis, Second Edition is an exposition of the theory of topological vector spaces, partially ordered spaces, and the development of the theory of integral operators and their representations on ideal spaces of measurable functions.

The fascinating ?