Functional analysis and transforms

The book deals with the localization approach to the index problem for elliptic operators.

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

An asymmetric norm is a positive definite sublinear functional p on a real vector space X.

This book deals with evolutionary systems whose equation of state can be formulated as a linear Volterra equation in a Banach space.

In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory.

Evolution equations of hyperbolic or more general p-evolution type form an active field of current research.

To date, the theoretical development of q-calculus has rested on a non-uniform basis.

The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk.

This volume contains surveys as well as research articles broadly centered on spectral analysis.

This volume is dedicated to Bill Helton on the occasion of his sixty fifth birthday.

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

In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples.

Concentration analysis provides, in settings without a priori available compactness, a manageable structural description for the functional sequences intended to approximate solutions of partial differential equations.

This monograph is a presentation of a unified approach to a certain class of semimartingale inequalities, which can be regarded as probabilistic extensions of classical estimates for conjugate harmonic functions on the unit disc.

This volume contains twenty-one solicited articles by speakers at the IWOTA 2009 workshop, ranging from expository surveys to original research papers, each carefully refereed.

The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications.

The discovery of quantum mechanics in the years 1925-1930 necessitated the consideration of associating ordinary functions with non-commuting operators.

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.