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Potential theory on Sierpiński carp...

Ntalampekos, Dimitrios.

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Potential theory on Sierpiński carpets = with applications to uniformization /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Potential theory on Sierpiński carpets/ by Dimitrios Ntalampekos.
其他題名:	with applications to uniformization /
作者:	Ntalampekos, Dimitrios.
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	x, 186 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Potential theory (Mathematics) -
電子資源:	https://doi.org/10.1007/978-3-030-50805-0
ISBN:	9783030508050

Potential theory on Sierpiński carpets = with applications to uniformization /
Ntalampekos, Dimitrios.

Potential theory on Sierpiński carpetswith applications to uniformization /[electronic resource] :by Dimitrios Ntalampekos. - Cham :Springer International Publishing :2020. - x, 186 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v.22680075-8434 ;. - Lecture notes in mathematics ;v.2268..

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.

ISBN: 9783030508050

Standard No.: 10.1007/978-3-030-50805-0doiSubjects--Topical Terms:

558874
Potential theory (Mathematics)

LC Class. No.: QA825 / .N735 2020

Dewey Class. No.: 515.96

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