Functional analysis and transforms

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 self-contained encyclopedic monograph gives a detailed introduction to Bezout equations and stable ranks, encompassing and explaining needed topological, analytical, and algebraic tools and methods.

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.

This mathematical monograph details the authors' results on solutions to problems governing the simultaneous motion of two incompressible fluids.

The textbook provides both profound technological knowledge and a comprehensive treatment of essential topics in music processing and music information retrieval (MIR).

John J.

Functional analysis is an important branch of mathematical analysis which deals with the transformations of functions and their algebraic and topological properties.

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This book gives its readers a unique opportunity to get acquainted with new aspects of the fruitful interactions between Analysis, Geometry, Quantum Mechanics and Number Theory.

This book provides a graduate-level introduction to three powerful and closely related techniques in condensed matter physics: memory functions, projection operators, and the defect technique.

This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics.

This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics.

This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals.

This handbook focuses on special functions in physics in the real and complex domain.

This multidisciplinary volume is the second in the STEAM-H series to feature invited contributions on mathematical applications in naval engineering.

This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis.

This book provides an introduction to the theory and applications of point processes, both in time and in space.

The contributions contained in the volume, written by leading experts in their respective fields, are expanded versions of talks given at the INDAM Workshop "e;Anomalies in Partial Differential Equations"e; held in September 2019 at the Istituto Nazionale di Alta Matematica, Dipartimento di Matematica "e;Guido Castelnuovo"e;, Universita di Roma "e;La Sapienza"e;.

Considering that the motion of strings with finitely many masses on them is described by difference equations, this book presents the spectral theory of such problems on finite graphs of strings.

Since long over the decades there has been a large transversal community of mathematicians grappling with the sophisticated challenges of the rigorous modelling and the spectral and scattering analysis of quantum systems of particles subject to an interaction so much localised to be considered with zero range.

This monograph presents recent results concerning nonlinear fractional elliptic problems in the whole space.

The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline.

This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics.

The field of elliptic functions, apart from its own mathematical beauty, has many applications in physics in a variety of topics, such as string theory or integrable systems.

This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm-Liouville equations.

This book originates from the session "e;Harmonic Analysis and Partial Differential Equations"e; held at the 12th ISAAC Congress in Aveiro, and provides a quick overview over recent advances in partial differential equations with a particular focus on the interplay between tools from harmonic analysis, functional inequalities and variational characterisations of solutions to particular non-linear PDEs.

This textbook is devoted to second order linear partial differential equations.

This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research.

This book presents a printed testimony for the fact that George Andrews, one of the world's leading experts in partitions and q-series for the last several decades, has passed the milestone age of 80.