Functional analysis and transforms

This book reviews the theory of 'generalized B*-algebras' (GB*-algebras), a class of complete locally convex *-algebras which includes all C*-algebras and some of their extensions.

The goal of this monograph is to develop a mathematical theory of open fluid systems in the framework of continuum thermodynamics.

This book provides a coherent, self-contained introduction to central topics of Analytic Partial Differential Equations in the natural geometric setting.

This textbook is a concise yet precise supplement to traditional books on Signals and Systems, focusing exclusively on the continuous-time case.

This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps.

Ce livre présente la théorie spectrale des opérateurs auto-adjoints en dimension infinie ainsi que son application à la mécanique quantique.

This brief explores the Krasnosel'skii-Man (KM) iterative method, which has been extensively employed to find fixed points of nonlinear methods.

This book provides a detailed study of nonlinear partial differential equations satisfying certain nonstandard growth conditions which simultaneously extend polynomial, inhomogeneous and fully anisotropic growth.

The Mathematics of Errors presents an original, rigorous and systematic approach to the calculus of errors, targeted at both the engineer and the mathematician.

This volume provides a timely survey of interactions between the calculus of variations and theoretical and applied mechanics.

This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation.

This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation.

This book presents a thorough discussion of the theory of abstract inverse linear problems on Hilbert space.

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

This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it.

In the third and final book of his iconic piano etudes Gyorgy Ligeti charts a new path relative to the rest of his musical output, representing a significant arrival in a composer's oeuvre known for its stylistic transformations.

This brief studies recent work conducted on certain exponential type operators and other integral type operators.

The Mathieu series is a functional series introduced by Emile Leonard Mathieu for the purposes of his research on the elasticity of solid bodies.

This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields.

This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brasov, Romania, from May 13th to 17th, 2019.

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry.

This book provides an in-depth account of modern methods used to bound the supremum of stochastic processes.

The spectral geometry of infinite graphs deals with three major themes and their interplay: the spectral theory of the Laplacian, the geometry of the underlying graph, and the heat flow with its probabilistic aspects.

This book explains many fundamental ideas on the theory of distributions.

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

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

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

This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds.

This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes' Theorem and its applications.

This monograph explores the motion of incompressible fluids by presenting and incorporating various boundary conditions possible for real phenomena.

This volume is part of the collaboration agreement between Springer and the ISAAC society.

This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference "e;Dynamical Systems: Theory and Applications"e;, held in Lodz, Poland on December 2-5, 2019.

This volume is part of the collaboration agreement between Springer and the ISAAC society.

This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory.

The book is designed to serve as a textbook for courses offered to undergraduate and graduate students enrolled in Electrical Engineering.

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

This self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities.

The book is designed to serve as a textbook for courses offered to undergraduate and graduate students enrolled in Electrical Engineering.

The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects.

This textbook introduces some basic tools from the theory of monotone operators together with some of their applications.

This monograph develops an innovative approach that utilizes the Birman-Schwinger principle from quantum mechanics to investigate stability properties of steady state solutions in galactic dynamics.

This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs.

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

This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDEs, which was held in Cortona (Italy) during the week of May 20-24, 2019.

This book collects the abstracts of  the mini-courses and lectures given during the Intensive Research Program "e;Spaces of Analytic Functions: Approximation, Interpolation, Sampling"e; which was held at the Centre de Recerca Matematica (Barcelona) in October-December, 2019.

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 contributed volume showcases research and survey papers devoted to a broad range of topics on functional equations, ordinary differential equations, partial differential equations, stochastic differential equations, optimization theory, network games, generalized Nash equilibria, critical point theory, calculus of variations, nonlinear functional analysis, convex analysis, variational inequalities, topology, global differential geometry, curvature flows, perturbation theory, numerical analysis, mathematical finance and a variety of applications in interdisciplinary topics.

This volume originated in talks given in Cortona at the conference "e;Geometric aspects of harmonic analysis"e; held in honor of the 70th birthday of Fulvio Ricci.

This proceedings volume features selected contributions from the conference Positivity X.