Functional Analysis category: 386 books

Cover of Born-Jordan Quantization

Born-Jordan Quantization

Theory and Applications

by Maurice A. de Gosson
Language: English
Release Date: January 11, 2016

This book presents a comprehensive mathematical study of the operators behind the Born–Jordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born–Jordan scheme is used. Thus, Born–Jordan quantization provides the only physically...
Cover of Attacking Problems in Logarithms and Exponential Functions
by David S. Kahn
Language: English
Release Date: September 30, 2015

This original volume offers a concise, highly focused review of what high school and beginning college students need to know in order to solve problems in logarithms and exponential functions. Numerous rigorously tested examples and coherent to-the-point explanations, presented in an easy-to-follow...
Cover of Leavitt Path Algebras
by Gene Abrams, Mercedes Siles Molina, Pere Ara
Language: English
Release Date: November 30, 2017

This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume. Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as...
Cover of Beyond First Order Model Theory, Volume I
by
Language: English
Release Date: August 14, 2017

Model theory is one of the central branches of mathematical logic. The field has evolved rapidly in the last few decades. This book is an introduction to current trends in model theory, and contains a collection of articles authored by top researchers in the field. It is intended as a reference for students as well as senior researchers.
Cover of Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
by Mourad Bellassoued, Masahiro Yamamoto
Language: English
Release Date: November 23, 2017

This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions. The formulation is different from that of Dirichlet-to-Neumann...
Cover of The General Theory of Dirichlet's Series
by G. H. Hardy
Language: English
Release Date: January 27, 2012

This classic work, written by two of the 20th century's most distinguished mathematicians, explains the theory and formulas behind Dirichlet's series and offers the first systematic account of Riesz's theory of the summation of series by typical means. 1915 edition.
Cover of Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
by J.-B. Bru, W. de Siqueira Pedra
Language: English
Release Date: November 30, 2016

Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions. In particular, the existence of fundamental solutions is shown for...
Cover of The Kadison-Singer Property
by Marco Stevens
Language: English
Release Date: November 7, 2016

This book gives a complete classification of all algebras with the Kadison-Singer property, when restricting to separable Hilbert spaces. The Kadison-Singer property deals with the following question: given a Hilbert space H and an abelian unital C*-subalgebra A of B(H), does every pure state on...
Cover of An Introduction to Second Order Partial Differential Equations
by Doina Cioranescu, Patrizia Donato, Marian P Roque
Language: English
Release Date: November 27, 2017

The book extensively introduces classical and variational partial differential equations (PDEs) to graduate and post-graduate students in Mathematics. The topics, even the most delicate, are presented in a detailed way. The book consists of two parts which focus on second order linear PDEs. Part I...
Cover of Introduction to Holomorphic Functions of Several Variables, Volume I
by R.C. Gunning
Language: English
Release Date: May 2, 2018

Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties. Each volume covers a different aspect andcan be read independently.
Cover of An Introduction to Multicomplex Spaces and Functions
by Price
Language: English
Release Date: May 11, 2018

A rather pretty little book, written in the form of a text but more likely to be read simply for pleasure, in which the author (Professor Emeritus of Mathematics at the U. of Kansas) explores the analog of the theory of functions of a complex variable which comes into being when the complexes are re
Cover of Evolution PDEs with Nonstandard Growth Conditions

Evolution PDEs with Nonstandard Growth Conditions

Existence, Uniqueness, Localization, Blow-up

by Stanislav Antontsev, Sergey Shmarev
Language: English
Release Date: April 1, 2015

This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account...
Cover of The Callias Index Formula Revisited
by Fritz Gesztesy, Marcus Waurick
Language: English
Release Date: June 28, 2016

These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., nonrelativistic and relativistic...
Cover of Multiplication Operators on the Bergman Space
by Kunyu Guo, Hansong Huang
Language: English
Release Date: June 23, 2015

This book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from the authors and other experts in recent years....
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