Functional analysis and transforms

This book represents the first synthesis of the considerable body of new research into positive definite matrices.

This book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics.

Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.

Capturing the state of the art of the interplay between positivity, noncommutative analysis, and related areas including partial differential equations, harmonic analysis, and operator theory, this volume was initiated on the occasion of the Delft conference in honour of Ben de Pagter's 65th birthday.

This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis.

In 1932 Norbert Wiener gave a series of lectures on Fourier analysis at the Univer- sity of Cambridge.

This book features a thoughtfully curated collection of research contributions spanning regularization theory, integral equations, learning theory, and matrix and operator theory.

Homogenization is a method for modeling processes in microinhomogeneous media, which are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology.

This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems.

An introduction to the analytic theory of automorphic forms in the case of fuchsian groups.

This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields.

In this book the details of many calculations are provided for access to work in quantum groups, algebraic differential calculus, noncommutative geometry, fuzzy physics, discrete geometry, gauge theory, quantum integrable systems, braiding, finite topological spaces, some aspects of geometry and quantum mechanics and gravity.

This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.

In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics.

There has been a lot of innovation in systems engineering and some fundamental advances in the field of optics, imaging, lasers, and photonics that warrant attention.

In 1994, in my role as Technical Program Chair for the 17th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, I solicited proposals for mini-symposia to provide delegates with accessible summaries of important issues in research areas outside their particular specializations.

The authors explain the Fourier transform and its technical applications, especially in signal and system theory.

Near Vector Spaces and Related Topics provides a systematic treatment of the introductory theory of near vector spaces, as well as a range of associated areas.

Introduction to Special Functions for Applied Mathematics introduces readers to the topic of special functions, with a particular focus on applications.

This book discusses how relativistic quantum field theories must transform under strongly continuous unitary representations of the Poincare group.

This book presents original research on the theory of positive operators, alongside fixed-point theorems and their diverse applications.

This book delves into the topics of fixed-point theory as applied to block operator matrices within the context of Banach algebras featuring multi-valued inputs.

This book presents original research on the theory of positive operators, alongside fixed-point theorems and their diverse applications.

This book delves into the topics of fixed-point theory as applied to block operator matrices within the context of Banach algebras featuring multi-valued inputs.

This is an invaluable book that presents the original work published in French, in 1904, by Henry Leon Lebesgue, the creator of the theory of integration.

This is an invaluable book that presents the original work published in French, in 1904, by Henry Leon Lebesgue, the creator of the theory of integration.