Functional Analysis category: 386 books

Cover of The Theory of H(b) Spaces: Volume 2
by Emmanuel Fricain, Javad Mashreghi
Language: English
Release Date: October 20, 2016

An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the...
Cover of Nonabsolute Integration on Measure Spaces
by Wee Leng Ng
Language: English
Release Date: October 20, 2017

This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock–Kurzweil type integrals defined on abstract spaces. It contains both classical and original results...
Cover of Parabolic Equations on an Infinite Strip
by Watson
Language: English
Release Date: October 2, 2017

This book focuses on solutions of second order, linear, parabolic, partial differentialequations on an infinite strip-emphasizing their integral representation, their initialvalues in several senses, and the relations between these.Parabolic Equations on an Infinite Strip provides valuable information-previously...
Cover of Esercizi di matematica: analisi funzionale
by Simone Malacrida
Language: Italian
Release Date: April 30, 2016

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici: spazi di Banach e di Hilbert operazioni in spazi vettoriali misura e integrale di Lebesgue Sono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi.
Cover of Stochastic Cauchy Problems in Infinite Dimensions

Stochastic Cauchy Problems in Infinite Dimensions

Generalized and Regularized Solutions

by Irina V. Melnikova
Language: English
Release Date: September 3, 2018

Stochastic Cauchy Problems in Infinite Dimensions: Generalized and Regularized Solutions presents stochastic differential equations for random processes with values in Hilbert spaces. Accessible to non-specialists, the book explores how modern semi-group and distribution methods relate to the methods...
Cover of Advances in Summability and Approximation Theory
by
Language: English
Release Date: December 30, 2018

This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations....
Cover of Elliptic Functions - An Elementary Text-Book for Students of Mathematics
by Arthur Baker
Language: English
Release Date: July 30, 2013

The first step taken in the theory of Elliptic Functions was the determination of a relation between the amplitudes of three functions of either order, such that there should exist an algebraic relation between the three functions themselves of which these were the amplitudes. It is one of the most...
Cover of Hyponormal Quantization of Planar Domains

Hyponormal Quantization of Planar Domains

Exponential Transform in Dimension Two

by Mihai Putinar, Björn Gustafsson
Language: English
Release Date: September 29, 2017

This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns...
Cover of Geometric Methods in PDE’s
by
Language: English
Release Date: October 31, 2015

The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent years, the geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many...
Cover of Applied Complex Variables
by John W. Dettman
Language: English
Release Date: May 7, 2012

Analytic function theory is a traditional subject going back to Cauchy and Riemann in the 19th century. Once the exclusive province of advanced mathematics students, its applications have proven vital to today's physicists and engineers. In this highly regarded work, Professor John W. Dettman offers...
Cover of Elements of the Theory of Functions
by Konrad Knopp
Language: English
Release Date: October 5, 2016

This well-known book provides a clear and concise review of general function theory via complex variables. Suitable for undergraduate math majors, the treatment explores only those topics that are simplest but are also most important for the development of the theory. Prerequisites include a knowledge...
Cover of Solving Numerical PDEs: Problems, Applications, Exercises
by Alessandro Veneziani, Fausto Saleri, Luca Formaggia
Language: English
Release Date: April 5, 2012

This book stems from the long standing teaching experience of the authors in the courses on Numerical Methods in Engineering and Numerical Methods for Partial Differential Equations given to undergraduate and graduate students of Politecnico di Milano (Italy), EPFL Lausanne (Switzerland), University...
Cover of Harmonic and Subharmonic Function Theory on the Hyperbolic Ball
by Manfred Stoll
Language: English
Release Date: June 30, 2016

This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry....
Cover of A Primer on the Dirichlet Space
by Omar El-Fallah, Karim Kellay, Javad Mashreghi
Language: English
Release Date: January 16, 2014

The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and beautiful theory, yet at the same time remains a source of challenging open problems and a subject of active mathematical research. This book is the first systematic account...
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