Books in category Mathematics – Vector Analysis

Norm Derivatives and Characterizations of Inner Product Spaces
The book provides a comprehensive overview of the characterizations of real normed spaces as inner product spaces based on norm derivatives and generalizations of the most basic geometrical properties of triangles in normed spaces.

Representations of *Algebras, Locally Compact Groups, and Banach *Algebraic Bundles
This is an allencompassing and exhaustive exposition of the theory of infinitedimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras.

Convex Analysis in General Vector Spaces
The primary aim of this book is to present the conjugate and subdifferential calculus using the method of perturbation functions in order to obtain the most general results in this field.

The book gives a concise introduction to variational methods and presents an overview of areas of current research in the field. The third edition gives a survey on new developments in the field.

A First Course in Sobolev Spaces
This book takes a novel approach to the theory of Sobolev spaces by looking at them as the natural development of monotone, absolutely continuous, and BV functions of one variable.

Growth Theory of Subharmonic Functions
In this book an account of the growth theory of subharmonic functions is given, which is directed towards its applications to entire functions of one and several complex variables.

From Brownian Motion to SchrĂ¶dingerâ€™s Equation
The book contains much original research by the authors (some of which published here for the first time) as well as detailed and improved versions of relevant important results by other authors, not easily accessible in existing literature …

Integration Between the Lebesgue Integral and the Henstockâ€”Kurzweil Integral
The main topics of this book are convergence and topologization.

Nine Introductions in Complex Analysis – Revised Edition
The book addresses many topics not usually in "second course in complex analysis" texts.

Introduction to the Theory of (NonSymmetric) Dirichlet Forms
The purpose of this book is to give a streamlined introduction to the theory of (not necessarily symmetric) Dirichlet forms on general state spaces.