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Potential Theory on Sierpinski Carpets - With Applications to Uniformization (Paperback, 1st ed. 2020) Loot Price: R1,521
Discovery Miles 15 210
Repayment Terms: R143 pm x 12*
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Potential Theory on Sierpinski Carpets - With Applications to Uniformization (Paperback, 1st ed. 2020): Dimitrios Ntalampekos

Potential Theory on Sierpinski Carpets - With Applications to Uniformization (Paperback, 1st ed. 2020)

Dimitrios Ntalampekos

Series: Lecture Notes in Mathematics, 2268

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Loot Price R1,521 Discovery Miles 15 210 | Repayment Terms: R143 pm x 12*

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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.

General

Imprint: Springer Nature Switzerland AG
Country of origin: Switzerland
Series: Lecture Notes in Mathematics, 2268
Release date: September 2020
First published: 2020
Authors: Dimitrios Ntalampekos
Dimensions: 235 x 155mm (L x W)
Format: Paperback
Pages: 186
Edition: 1st ed. 2020
ISBN-13: 978-3-03-050804-3
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
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LSN: 3-03-050804-8
Barcode: 9783030508043

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