Functional analysis and transforms

A clear explanation of what an explosive Markov chain does after it passes through all available states in finite time.

An accessible introduction to the geometric approach to Wigner''s theorem and its role in quantum mechanics.

Accessible text covering core functional analysis topics in Hilbert and Banach spaces, with detailed proofs and 200 fully-worked exercises.

A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.

Explores Schrödinger equations with power-type nonlinearity, with scattering results for mass- and energy-critical Schrödinger equations.

A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.

A detailed monograph exploring how operator theory interacts with function theory in one and several variables.

A detailed monograph exploring how operator theory interacts with function theory in one and several variables.

A leading authority on orthogonal polynomials details their relationships with Painlevé equations with clear proofs, examples, and exercises.

A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.

A leading authority on orthogonal polynomials details their relationships with Painlevé equations with clear proofs, examples, and exercises.

A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.

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

The first systematic account of the basic theory of normed algebras, without assuming associativity.

This second volume of a two-volume overview focuses on the applications of Banach spaces and recent developments in the field.

This first volume of a two-volume overview covers the basic theory of Banach spaces, harmonic analysis and probability.

This second volume of a two-volume overview focuses on the applications of Banach spaces and recent developments in the field.

This first volume of a two-volume overview covers the basic theory of Banach spaces, harmonic analysis and probability.

The philosophy of the book, which makes it quite distinct from many existing texts on the subject, is based on treating the concepts of measure and integration starting with the most general abstract setting and then introducing and studying the Lebesgue measure and integration on the real line as an important particular case.

The book is intended as a text for a one-semester graduate course in operator theory to be taught "e;from scratch', not as a sequel to a functional analysis course, with the basics of the spectral theory of linear operators taking the center stage.

This second volume of two presents analytic equivalents to the Riemann hypothesis.

This first volume of two presents classical and modern arithmetic equivalents to the Riemann hypothesis.

Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

Körner provides a shop-window for some of the ideas, techniques and elegant results of Fourier analysis.

Körner provides a shop-window for some of the ideas, techniques and elegant results of Fourier analysis.

This book lays emphasis on the synthesis of modern and classical analysis at the current frontiers of knowledge.

A comprehensive introduction to modern applied functional analysis.

Describes a new asymptotic method of high-precision evaluation of certain integrals, related to the classical method of steepest descents.

This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras.

New edition of an introduction to Fourier transforms, invaluable to students in physics, electrical and electronic engineering, and computer science.

This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups.

This monograph serves as a much-needed, self-contained reference on the topic of modulation spaces.

Provides an account of fractional Sobolev spaces emphasising applications to famous inequalities.

This advanced undergraduate/beginning graduate text covers measure theory and discrete aspects of functional analysis, with 760 exercises.

A comprehensive, graduate-level introduction to functional analysis covering both the theory and main applications, with over 300 exercises.

A study of large deviations for empirical measures and vector-valued additive functionals of general state space Markov chains.

This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years.

The book features original chapters on sequence spaces involving the idea of ideal convergence, modulus function, multiplier sequences, Riesz mean, Fibonacci difference matrix etc.

The book features original chapters on sequence spaces involving the idea of ideal convergence, modulus function, multiplier sequences, Riesz mean, Fibonacci difference matrix etc.

Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements introduces new areas in operator theory and operator algebra, in connection with free probability theory.

Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements introduces new areas in operator theory and operator algebra, in connection with free probability theory.

Summability Theory and Its Applications explains various aspects of summability and demonstrates its applications in a rigorous and coherent manner.

Summability Theory and Its Applications explains various aspects of summability and demonstrates its applications in a rigorous and coherent manner.

This book features original research articles on the topic of mathematical modelling and fractional differential equations.

Double Sequence Spaces and Four-Dimensional Matrices provides readers with a clear introduction to the spaces of double sequences and series, as well as their properties.

Double Sequence Spaces and Four-Dimensional Matrices provides readers with a clear introduction to the spaces of double sequences and series, as well as their properties.

Through four editions this popular textbook attracted a loyal readership and widespread use.

Through four editions this popular textbook attracted a loyal readership and widespread use.