Functional analysis and transforms

Special functions are pervasive in all fields of science and industry.

Since The Theory of the Moire Phenomenon was published it became the main reference book in its field.

This book is an attempt to give a systematic presentation of results and me- ods which concern the ?

In order to study discrete Abelian groups with wide range applications, the use of classical functional equations, difference and differential equations, polynomial ideals, digital filtering and polynomial hypergroups is required.

Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years.

In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type.

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Decomposable sets since T.

Stochastic analysis is a field of mathematical research having numerous interactions with other domains of mathematics such as partial differential equations, riemannian path spaces, dynamical systems, optimization.

Most topics dealt with here deal with complex analysis of both one and several complex variables.

In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies.

A step-by-step illustrated introduction to the astounding mathematics of symmetryThis lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry.

This book represents the first synthesis of the considerable body of new research into positive definite matrices.

This book contains the latest advances in variational analysis and set / vector optimization, including uncertain optimization, optimal control and bilevel optimization.

This book contains the latest advances in variational analysis and set / vector optimization, including uncertain optimization, optimal control and bilevel optimization.

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry.

The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other.

The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other.

This book provides self-contained proofs of the existence of ground states of several interaction models in quantum field theory.

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

A selection of survey articles and original research papers in mathematical fluid mechanics, for both researchers and graduate students.

This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.

This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.

This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.

This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.

The first graduate-level treatment of computable analysis within the tradition of classical mathematical reasoning.

This volume presents a systematic study of the interaction between local and global degree theory.

Makes the intrinsically advanced theory of wavelets accessible to senior undergraduate students with a mathematical background.

Makes the intrinsically advanced theory of wavelets accessible to senior undergraduate students with a mathematical background.

This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.

A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.

A unique introduction to reproducing kernel Hilbert spaces, covering the fundamental underlying theory as well as a range of applications.

A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.

A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.

A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.

A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.

A unique introduction to reproducing kernel Hilbert spaces, covering the fundamental underlying theory as well as a range of applications.

Presents the classical theory of convergence of semigroups and looks at how it applies to real-world phenomena.

Presents the classical theory of convergence of semigroups and looks at how it applies to real-world phenomena.

Presents powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities.

Presents powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities.

A self-contained textbook which opens up this challenging field to newcomers and points to areas of future research.

A self-contained textbook which opens up this challenging field to newcomers and points to areas of future research.

Modern text examining the interplay between measure theory and Fourier analysis.

Modern text examining the interplay between measure theory and Fourier analysis.