Functional analysis and transforms

This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points.

Solution of Equations and Systems of Equations, Second Edition deals with the Laguerre iteration, interpolating polynomials, method of steepest descent, and the theory of divided differences.

A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.

While Volume I (by W.

Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems.

This book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years.

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions.

The subject of sparse matrices has its root in such diverse fields as management science, power systems analysis, surveying, circuit theory, and structural analysis.

Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing.

This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience.

Methods of signal analysis represent a broad research topic with applications in many disciplines, including engineering, technology, biomedicine, seismography, eco- nometrics, and many others based upon the processing of observed variables.

The fundamental contributions of Professor Maz'ya to the theory of function spaces and especially Sobolev spaces are well known and often play a key role in the study of different aspects of the theory, which is demonstrated, in particular, by presented new results and reviews from world-recognized specialists.

The new and revised version of this comprehensive pocket reference guide is ideal for anyone who deals with physics, chemistry, mathematics, finance, and computer systems and needs to review or quickly refresh their memory of what they studied in school.

The chapters in this volume are based on talks given at the inaugural Technology, Engineering and Mathematics Conference (TEM18), held from March 26 to 27, 2018 in Kenitra, Morocco.

This book is related to the theory of functions of a-bounded type in the ha- plane of the complex plane.

This book grew out of a one-semester course given by the second author in 2001 and a subsequent two-semester course in 2004-2005, both at the University of Missouri-Columbia.

This volume contains the first two out of four chapters which are intended to survey a large part of the theory of theta functions.

Many questions dealing with solvability, stability and solution methods for va- ational inequalities or equilibrium, optimization and complementarity problems lead to the analysis of certain (perturbed) equations.

Partial Differential Equations: Topics in Fourier Analysis explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models.

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

Nuclear and Conuclear Spaces

The subject of this book stands at the crossroads of ergodic theory and measurable dynamics.

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study.

This work contributes to the study of quaternionic linear operators.

A unique introduction to reproducing kernel Hilbert spaces, covering the fundamental underlying theory as well as a range of applications.

Approximation Theory and Functional Analysis

This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory.

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

Many problems arising in the physical sciences, engineering, biology and ap- plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces.

This textbook provides an introduction to representations of general *-algebras by unbounded operators on Hilbert space, a topic that naturally arises in quantum mechanics but has so far only been properly treated in advanced monographs aimed at researchers.

This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces.

Summability Theory and Its Applications explains various aspects of summability and demonstrates its applications in a rigorous and coherent manner.

Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A.

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.

Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study.

These days, the term Noncommutative Dynamics has several interpretations.

This is the first monograph that discusses in detail the interactions between Fourier analysis and dynamic economic theories, in particular, business cycles.

Mathematical Analysis: Theory and Applications provides an overview of the most up-to-date developments in the field, presenting original contributions and surveys from a spectrum of respected academics.

This textbook presents a comprehensive treatment of the theory and implementation of inverse methods in the analysis and interpretation of Earth's gravity field.

This book is an extensive introductory text to mathematical analysis for graduate students and advanced undergraduates, complete with 500 exercises and numerous examples.

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry.

This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains.

This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics.

Concrete Functional Calculus focuses primarily on differentiability of some nonlinear operators on functions or pairs of functions.

Set-valued analysis is an essential tool for the mathematical formulation of many real-life situations, e.

The main purpose of the book is to give a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and their applications.

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.