Functional analysis and transforms

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.

In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.

In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.

This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts.

This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts.

This book discusses representation theory of symmetric groups, theory of symmetric functions and polynomial representation theory of general linear groups.

There has been a lot of innovation in systems engineering and some fundamental advances in the fields of optics, imaging, lasers, and photonics that warrant attention.

Revised and updated introduction to functional analysis.

This book studies the geometric properties of general sets and measures in euclidean space.

A collection of exercises in Fourier analysis, complied as a companion to the author''s successful An Introduction to Fourier Analysis.

Discovering Group Theory: A Transition to Advanced Mathematics presents the usual material that is found in a first course on groups and then does a bit more.

Discovering Group Theory: A Transition to Advanced Mathematics presents the usual material that is found in a first course on groups and then does a bit more.

A short introduction perfect for any 16- to 18-year-old, about to begin studies in mathematics.

Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.

Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.

A short introduction perfect for any 16- to 18-year-old, about to begin studies in mathematics.

Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.

This is a systematic mathematical study of differential (and more general self-adjoint) operators.

After functional, measure and stochastic analysis prerequisites, the author covers chaos decomposition, Skorohod integral processes, Malliavin derivative and Girsanov transformations.

A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.

Presents recent advances of Jordan theory in differential geometry, complex and functional analysis, with numerous examples and historical notes.

Presents work on the invariant subspace problem, a major unsolved problem in operator theory.

A cohesive and exhaustive account of the modern theory of iterative functional equations.

This treatise deals with modern theory of functional equations in several variables and their applications to mathematics.