Functional analysis and transforms

This volume features selected, original, and peer-reviewed papers on topics from a series of workshops on Nonlinear Partial Differential Equations for Future Applications that were held in 2017 at Tohoku University in Japan.

This textbook offers a concise and thorough introduction to the topic of applied functional analysis.

This book provides a large extension of the general theory of reproducing kernels published by N.

This collection consists of selected scientific results stemming from the conference "e;Methusalem Workshop on Classical Analysis and PDEs"e;, held at the Ghent University from 27th February 2023 to 1st March 2023.

This book presents the latest developments in the theory of gradient flows in random walk spaces.

This book collects papers presented at the International Conference on Fractional Differentiation and its Applications (ICFDA), held at the University of Jordan, Amman, Jordan, on 16-18 July 2018.

The book gives the basic results of the theory of the spaces Ap?

Recent research has produced a large number of results concerning the Stone-Cech compactification or involving it in a central manner.

This second volume continues the study on asymptotic convergence of global solutions of parabolic equations to stationary solutions by utilizing the theory of abstract parabolic evolution equations and the Lojasiewicz-Simon gradient inequality.

This textbook offers a self-contained introduction to probability, covering all topics required for further study in stochastic processes and stochastic analysis, as well as some advanced topics at the interface between probability and functional analysis.

A rigorous but accessible treatment of the subject intertwining theoretical techniques with hands-on laboratory instruction and divided into three parts, this book covers various aspects of the digital signal processing (DSP) "e;problem"e;.

Since the last century, the postulational method and an abstract point of view have played a vital role in the development of modern mathematics.

Interpolation of functions is one of the basic part of Approximation Theory.

Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system Maple(TM).

The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many different disciplines.

The real-variable theory of function spaces has always been at the core of harmonic analysis.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

A careful and accessible exposition of functional analytic methods in stochastic analysis is provided in this book.

The Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics.

The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges.

This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics.

This monograph examines a variety of iterative methods in Banach spaces with a focus on those obtained from the Newton method.

The present monograph serves as a natural extension of the prior 2-volume monograph with the same title and by the same authors, which encompassed findings up until 2014.

This book discusses the application of quantum mechanics to computing.

Positivity is one of the most basic mathematical concepts.

This volume contains papers based on presentations at the "e;Nagoya Winter Workshop 2015: Reality and Measurement in Algebraic Quantum Theory (NWW 2015)"e;, held in Nagoya, Japan, in March 2015.

Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory.

This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10-14, 2018.

Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems.

This book is devoted to real analysis methods for the problem of constructing Markov processes with boundary conditions in probability theory.

This monograph provides a comprehensive study of a typical and novel function space, known as the $\mathcal{N}_p$ spaces.

Perturbations of Positive Semigroups with Applications is a self-contained introduction to semigroup theory with emphasis on positive semigroups on Banach lattices and perturbation techniques.

This book explains digital signal processing topics in detail, with a particular focus on ease of understanding.

In this book, the optimal transportation problem (OT) is described as a variational problem for absolutely continuous stochastic processes with fixed initial and terminal distributions.

This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century.

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021.

This book is a tribute to the achievements of Ilya Spitkovsky in operator theory, pseudo-differential and integral equations, factorization theory and many other related topics.

This award-winning monograph explores advanced topics in harmonic analysis, addressing both classical and contemporary problems.

Described here is Feynman's path integral approach to quantum mechanics and quantum field theory from a functional integral point of view.

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 proceedings volume collects selected papers presented at the Harmonic Analysis and Applications Workshop held in Abidjan, Cote d'Ivoire from May 22-26, 2023.

This book develops a C*-algebraic approach to the notion of principal symbol on Heisenberg groups and, using the fact that contact manifolds are locally modeled by Heisenberg groups, on compact contact manifolds.

This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century.

The contents of this monograph fall within the general area of nonlinear functional analysis and applications.

This book introduces the reader to quantum groups, focusing on the simplest ones, namely the closed subgroups of the free unitary group.

This book delves into the intricate world of fixed point theory, focusing on the Krasnoselskii-Mann method to tackle common fixed point problems within a finite family of quasi-nonexpansive mappings in hyperbolic metric spaces.