Invariant Potential Theory in the Unit Ball of Cn

By: Manfred Stoll

Write A Review

Paperback | 11 July 1994

At a Glance

Paperback
184 Pages

Dimensions(cm)
22.8 x 15.2 x 1.1

Paperback

RRP $95.95

$86.75

10%OFF

or 4 interest-free payments of $21.69 with

Ships in 5 to 7 business days

This monograph provides an introduction and a survey of recent results in potential theory with respect to the Laplaceâ"Beltrami operator D in several complex variables, with special emphasis on the unit ball in Cn. Topics covered include Poissonâ"Szeg¶ integrals on the ball, the Green's function for D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem on the existence of radial limits of subharmonic functions are covered in detail. The monograph also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Green potentials. Applications of some of the results to Hp spaces, and weighted Bergman and Dirichlet spaces of invariant harmonic functions are included. The notes are self-contained, and should be accessible to anyone with some basic knowledge of several complex variables.

Industry Reviews

"The topics included in this book are well chosen and well presented." Walter Rudin, Bulletin of the American Mathematical Society

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Complex Analysis Probability & Statistics Differential Calculus & Equations Algebra

Notation and preliminary results
The Bergman kernel
The Laplace-Beltrami operator
Invariant harmonic and subharmonic functions
Poisson-Szego integrals
The Riesz decomposition theorem
Admissible boundary limits of Poisson integrals
Radial and admissible boundary limits of potentials
Gradient estimates and Riesz potentials
Spaces of invariant harmonic functions
References
Table of Contents provided by Publisher. All Rights Reserved.

Invariant Potential Theory in the Unit Ball of Cn

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Complex Analysis

Methusalem Seminars at Ghent Analysis and PDE Center

Extended Abstracts 2023/2024

Learning Algorithms

A Programmer's Guide to Writing Better Code

Data Science on AWS

Implementing End-To-End, Continuous AI and Machine Learning Pipelines

Mastering Shiny

Build Interactive Apps, Reports, and Dashboards Powered by R

Trigonometric Functions And Complex Numbers

In Mathematical Olympiad And Competitions

Data-Driven Modeling & Scientific Computation

Methods for Complex Systems & Big Data

Schaum's Outline of Complex Variables

Schaum's Outline Series

Harmonic Analysis Techniques for Elliptic Operators

Lecture Notes of the 27th Internet Seminar on Evolution Equations

Astral Space

Convex Analysis at Infinity

From Classical Analysis to Analysis on Fractals

A Tribute to Robert Strichartz, Volume 2

Learning Spark

Lightning-Fast Data Analytics

Ghent Analysis and PDE Seminar

Extended Abstracts 2023/2024

Sampling, Frames, and Harmonic Analysis

A Mathematical Celebration of Akram Aldroubi's 65th Birthday

An Introduction to Univalent Functions

University Texts in the Mathematical Sciences

Triangular Bases of Unimodular Bilinear Lattices and Induced Structures

Automorphism Groups, Vanishing Cycles, Monodromy Groups, Braid Group Actions and Moduli Spaces

Lebesgue's Theory of Singular Integrals

Foundations of Modern Harmonic Analysis

Course In Analysis, A - Vol. Iv

Fourier Analysis, Ordinary Differential Equations, Calculus Of Variations

From Numbers To Analysis

Constructions and Properties

Lecture Notes in Mathematics

Seminar, University Park PA, March 10-14, 1986

Nonlinear Workbook, The

Chaos, Fractals, Cellular Automata, Genetic Algorithms, Gene Expression Programming, Support Vector Machine, Wavelets, Hidden Markov Models, Fuzzy Logic With C++, Java And Symbolicc++ Programs (6th Edition)

Complex Analysis

.

Lectures on Complex Analysis

Machine Learning Design Patterns

Solutions to Common Challenges in Data Preparation, Model Building, and MLOps

Learning Google Analytics

Creating Business Impact and Driving Insights

This product is categorised by