Kniha Potential Theory on Sierpinski Carpets Dimitrios Ntalampekos

Potential Theory on Sierpinski Carpets

With Applications to Uniformization

Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
1 186
This self-contained book lays the foundations for a systematic understanding of potential theoretic...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2020
Stránek
186
EAN
9783030508043
ISBN
3030508048
Enbook ID
33113363
Hmotnost
308
Rozměry
155 x 235 x 11

Kompletní popis

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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