Functional analysis and transforms

This is a collection of contributed papers which focus on recent results in areas of differential equations, function spaces, operator theory and interpolation theory.

This book is dedicated to the memory of Israel Gohberg (1928-2009) - one of the great mathematicians of our time - who inspired innumerable fellow mathematicians and directed many students.

The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems).

The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems).

This book provides a systematic introduction to functions of one complex variable.

Pseudodifferential analysis, introduced in this book in a way adapted to the needs of number theorists, relates automorphic function theory in the hyperbolic half-plane ?

This textbook presents basic notions and techniques of Fourier analysis in discrete settings.

The main goal of this book is to introduce readers to functional analysis methods, in particular, time dependent analysis, for reliability models.

This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms.

This volume contains solicited articles by speakers at the workshop ranging from expository surveys to original research papers, each of which carefully refereed.

Homotopy theory and C* algebras are central topics in contemporary mathematics.

The aim of the book is to present new results in operator theory and its applications.

The Plancherel formula says that the L^2 norm of the function is equal to the L^2 norm of its Fourier transform.

This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13-18, 2009.

In a number of famous works, M.

Paul Richard Halmos, who lived a life of unbounded devotion to mathematics and to the mathematical community, died at the age of 90 on October 2, 2006.

In this monograph, we combine operator techniques with state space methods to solve factorization, spectral estimation, and interpolation problems arising in control and signal processing.

The asymptotic behaviour, in particular "e;stability"e; in some sense, is studied systematically for discrete and for continuous linear dynamical systems on Banach spaces.

This is the second volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications.

This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications.

Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory.

This book develops integral identities, mostly involving multidimensional functions and infinite limits of integration, whose evaluations are intractable by common means.

This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of modern analysis.

This book is essentially a survey of results on the Fuglede-Putnam theorem and its generalizations in a wide variety of directions.

This book presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator.

This book is a self-contained advanced monograph on inequalities involving the numerical radius of bounded linear operators acting on complex Hilbert spaces.

This book provides the rigorous mathematical foundations of Quantum Physics, from the operational meaning of the measuring process to the most recent theories for the quantum scale of space-time geometry.

This book discusses, develops and applies the theory of Vilenkin-Fourier series connected to modern harmonic analysis.

This volume examines current research in mechanics and its applications to various disciplines, with a particular focus on fluid-structure interaction (FSI).

This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations.

This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering.

This monograph presents an up-to-date panorama of the different techniques and results in the large field of renorming in Banach spaces and its applications.

This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.

The purpose of this monograph is to offer an accessible and essentially self-contained presentation of some mathematical aspects of the Feynman path integral in non-relativistic quantum mechanics.

This volume presents a completely self-contained introduction to the elaborate theory of locally compact quantum groups, bringing the reader to the frontiers of present-day research.

This proceedings volume gathers selected, peer-reviewed papers presented at the 41st International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics (QP41) that was virtually held at the United Arab Emirates University (UAEU) in Al Ain, Abu Dhabi, from March 28th to April 1st, 2021.

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes.

This book develops tools to handle C*-algebras arising as completions of convolution algebras of sections of line bundles over possibly non-Hausdorff groupoids.

This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that admit a characteristic matrix function in a Banach space setting.

?

T?

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

This book gathers contributions on analytical, numerical, and application aspects of time-delay systems, under the paradigm of control theory, and discusses recent advances in these different contexts, also highlighting the interdisciplinary connections.