Description: Potential Theory on Sierpinski Carpets : With Applications to Uniformization, Paperback by Ntalampekos, Dimitrios, ISBN 3030508048, ISBN-13 9783030508043, Brand New, Free shipping in the US This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpinski carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpinski carpets but differs from the classical approach of potential theory in metric spaces. The second part describes how this theory is utilized to prove a uniformization result for Sierpinski carpets. This book is intended for researchers in the fields of potential theory, quasiconformal geometry, geometric group theory, complex dynamics, geometric function theory and PDEs.
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Book Title: Potential Theory on Sierpinski Carpets : With Applications to Uni
Number of Pages: X, 186 Pages
Language: English
Publication Name: Potential Theory on SierpińSki Carpets : with Applications to Uniformization
Publisher: Springer International Publishing A&G
Publication Year: 2020
Subject: Functional Analysis, Vector Analysis, Complex Analysis
Type: Textbook
Item Weight: 16 Oz
Item Length: 9.3 in
Author: Dimitrios Ntalampekos
Subject Area: Mathematics
Series: Lecture Notes in Mathematics Ser.
Item Width: 6.1 in
Format: Trade Paperback
