Functional analysis and transforms

The focus of this book is on providing students with insights into geometry that can help them understand deep learning from a unified perspective.

This monograph is the first comprehensive treatment of multiplicity-free induced representations of finite groups as a generalization of finite Gelfand pairs.

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.

Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving.

Holomorphic Automorphism Groups in Banach Spaces

Scientists and engineers have been involved in medical radiology from the very beginning.

This book focuses on the theory of the Gibbs semigroups, which originated in the 1970s and was motivated by the study of strongly continuous operator semigroups with values in the trace-class ideal.

Fast Fourier Transform - Algorithms and Applications presents an introduction to the principles of the fast Fourier transform (FFT).

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

Safety critical and high-integrity systems, such as industrial plants and economic systems can be subject to abrupt changes - for instance due to component or interconnection failure, and sudden environment changes etc.

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.

A full exposition of the classical theory of spherical harmonics and their use in proving stability results.

Data-Driven, Nonparametric, Adaptive Control Theory introduces a novel approach to the control of deterministic, nonlinear ordinary differential equations affected by uncertainties.

This text provides a thorough explanation of the underlying principles of spectral analysis and the full range of estimation techniques used in engineering.

This book features original research articles on the topic of mathematical modelling and fractional differential equations.

This volume contains 22 articles on topics of current interest in functional analysis, operator theory and related areas.

The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum.

This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups.

With students of Physics chiefly in mind, we have collected the material on special functions that is most important in mathematical physics and quan- tum mechanics.

This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level.

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.

The purpose of this monograph is to provide a systematic account of the theory of noncommutative integration in semi-finite von Neumann algebras.

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 contributed volume features chapters based on talks given at the second international conference titled Aspects of Time-Frequency Analysis (ATFA 19), held at Politecnico di Torino from June 25th to June 27th, 2019.

This book reflects a significant part of authors' research activity dur- ing the last ten years.

Handbook of the Geometry of Banach Spaces

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

This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in Banach spaces, focusing on the distinction between these concepts.

Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense.

The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis.

A comprehensive introduction to modern applied functional analysis.

Functional Analysis, Holomorphy and Approximation Theory II

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?

This textbook is for those who want to learn linear algebra from the basics.

Broadly organized around the applications of Fourier analysis, Methods of Applied Mathematics with a MATLAB Overview covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms.

This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas.

A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.

This book serves as a textbook for an analytical mechanics course, a fundamental subject of physics, that pays special attention to important topics that are not discussed in most standard textbooks.

This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications.

This work is a concise introduction to spectral theory of Hilbert space operators.

This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators.

This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis.

This textbook offers an accessible introduction to Functional Analysis, providing a solid foundation for students new to the field.

Disorder is one of the predominant topics in science today.

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

The classical subject of bases in Banach spaces has taken on a new life in the modern development of applied harmonic analysis.

This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles.