Functional analysis and transforms

This book is about function spaces aspects of polyanalytic functions, a topic that has gained a lot of attention in the past decades.

This monograph is about monotone complete C*-algebras, their properties and the new classification theory.

In recent years important progress has been made in the study of semi-groups of operators from the viewpoint of approximation theory.

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

This book presents the interplay between topological Markov shifts and Cuntz–Krieger algebras by providing notations, techniques, and ideas in detail.

This volume contains 13 chapters, which are extended versions of the presentations at International Conference on Inverse Problems at Fudan University, Shanghai, China, October 12-14, 2018, in honor of Masahiro Yamamoto on the occasion of his 60th anniversary.

The present book is a collection of variations on a theme which can be summed up as follows: It is impossible for a non-zero function and its Fourier transform to be simultaneously very small.

Pseudo-differential operators were initiated by Kohn, Nirenberg and Hormander in the sixties of the last century.

The book presents a deterministic homogenization theory intended for the mathematical analysis of non-stochastic multiscale problems, both within and beyond the periodic setting.

The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions.

This monograph presents a study of newly developed guaranteed computational methodologies for eigenvalue problems of self-adjoint differential operators.

This book provides the reader with a broad introduction to the geometric methodology in complex analysis.

This book delves into the topics of fixed-point theory as applied to block operator matrices within the context of Banach algebras featuring multi-valued inputs.

This volume, which is dedicated to Yuri Karlovich on the occasion of his 75th birthday, includes biographical material, personal reminiscences, and carefully selected papers.

This volume features presentations from the International Workshop on Operator Theory and its Applications that was held in Krakow, Poland, September 6-10, 2022.

Die vorliegende Darstellung der klassischen Funktionentheorie ist aus Nachschriften, die wir seit geraumer Zeit von unseren Vorlesungen anfertigen ließen, entstanden.

This book offers an overview of the research results presented by group members and guests of the Ghent Analysis & PDE Center during the weekly seminar that took place from 2021 to 2022.

In classical analysis, there is a vast difference between the class of problems that may be handled by means of the methods of calculus and the class of problems requiring combinatorial techniques.

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.

Modern mathematics has become an essential part of today's physicist's arsenal and this book covers several relevant such topics.

Over the course of his distinguished career, Vladimir Maz'ya has made a number of groundbreaking contributions to numerous areas of mathematics, including partial differential equations, function theory, and harmonic analysis.

The present book is about the Askey scheme and the q-Askey scheme, which are graphically displayed right before chapter 9 and chapter 14, respectively.

The present book deals with a streamlined presentation of Levy processes and their densities.

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

The current volume gives an update on recent developments in the theory of pseudo-differential operators and related topics.

This work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus on the model space (X, Y) = (Sn, Sn-1).

This textbook is a complete, self-sufficient, self-study/tutorial-type source of mathematical problems.

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 book presents the new fascinating area of continuous inequalities.

This monograph deals with the expansion properties, in the complex domain, of sets of polynomials which are defined by generating relations.

This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory.

This volume, setting out the theory of positive maps as it stands today, reflects the rapid growth in this area of mathematics since it was recognized in the 1990s that these applications of C*-algebras are crucial to the study of entanglement in quantum theory.

This book provides a successful solution to one of the central problems of mathematical fluid mechanics: the Leray's problem on existence of a solution to the boundary value problem for the stationary Navier-Stokes system in bounded domains under sole condition of zero total flux.

This book is an elementary introduction to non-classical spectral theory.

This book explains the basic theory of Hilbert C*-module in detail, covering a wide range of applications from generalized index to module framework.

Since the publication of Banach's treatise on the theory of linear operators, the literature on the theory of bases in topological vector spaces has grown enormously.

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 monograph deals with the expansion properties, in the complex domain, of sets of polynomials which are defined by generating relations.

This volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata.

The classical Lojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the Lojasiewicz-Simon gradient inequality.

Modern mathematics has become an essential part of today's physicist's arsenal and this book covers several relevant such topics.

The aim of this book is to give a systematic study of questions con- cerning existence, uniqueness and regularity of solutions of linear partial differential equations and boundary problems.

The 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus.

This book, the second of two volumes, presents significant applications for understanding modern analysis.

This book features original research and survey articles on the topics of function spaces and inequalities.