Functional analysis and transforms

This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017.

Probability limit theorems in infinite-dimensional spaces give conditions un- der which convergence holds uniformly over an infinite class of sets or functions.

This volume is the first in the series devoted to the commutative harmonic analysis, a fundamental part of the contemporary mathematics.

Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schrodinger equation on the half line with the general selfadjoint boundary condition.

This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems.

This proceedings volume gathers selected, peer-reviewed papers from the "e;Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII"e; (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018.

The main purpose of this handbook is to summarize and to put in order the ideas, methods, results and literature on the theory of random evolutions and their applications to the evolutionary stochastic systems in random media, and also to present some new trends in the theory of random evolutions and their applications.

In this monograph, questions of extensions and relaxations are consid- ered.

This textbook provides an elementary introduction to hypergeometric functions, which generalize the usual elementary functions.

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 focuses on Erdelyi-Kober fractional calculus from a statistical perspective inspired by solar neutrino physics.

Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory.

This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars.

"e;This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so.

This is a self-contained textbook of the theory of Besov spaces and Triebel-Lizorkin spaces oriented toward applications to partial differential equations and problems of harmonic analysis.

The book concisely presents the fundamental aspects of the theory of operators on Hilbert spaces.

The fundamental contributions of Professor Maz'ya to the theory of function spaces and especially Sobolev spaces are well known and often play a key role in the study of different aspects of the theory, which is demonstrated, in particular, by presented new results and reviews from world-recognized specialists.

In this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail.

Describes a new asymptotic method of high-precision evaluation of certain integrals, related to the classical method of steepest descents.

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

This book is aimed at both experts and non-experts with an interest in getting acquainted with sequence spaces, matrix transformations and their applications.

Lie groups has been an increasing area of focus and rich research since the middle of the 20th century.

The spaces of functions with derivatives in Lp, called the Sobolev spaces, play an important role in modern analysis.

Confusing Textbooks?

As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), "e;There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.

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

This book presents a machine-generated literature overview of quaternion integral transforms from select papers published by Springer Nature, which have been organized and introduced by the book's editor.

Dedicated to Tosio Kato's 100th birthday, this book contains research and survey papers on a broad spectrum of methods, theories, and problems in mathematics and mathematical physics.

As a very important part of nonlinear analysis, fixed point theory plays a key role in solvability of many complex systems from mathematics applied to chemical reactors, neutron transport, population biology, infectious diseases, economics, applied mechanics, and more.

John J.

In this book, the basic methods of nonlinear analysis are emphasized and illustrated in simple examples.

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

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

This book, in honor of Hari M.

Inequalities play a central role in mathematics with various applications in other disciplines.

This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates.

Many problems arising in the physical sciences, engineering, biology and ap- plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces.

The appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event.

This volume comprises the proceedings of the Conference on Operator Theory and its Applications held in Gothenburg, Sweden, April 26-29, 2011.

This book focuses on differential privacy and its application with an emphasis on technical and application aspects.

This book presents novel results by participants of the conference "e;Control theory of infinite-dimensional systems"e; that took place in January 2018 at the FernUniversitat in Hagen.

This book provides a selection of reports and survey articles on the latest research in the area of single and multivariable operator theory and related fields.

This first volume of two presents classical and modern arithmetic equivalents to the Riemann hypothesis.

this monograph is based on two courses in computational mathematics and operative research, which were given by the author in recent years to doctorate and PhD students.