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Potential Theory on Sierpiński Carpe...
~
Ntalampekos, Dimitrios.
Potential Theory on Sierpiński Carpets = With Applications to Uniformization /
紀錄類型:
書目-語言資料,印刷品 : 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.
面頁冊數:
X, 186 p. 10 illus., 4 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Analysis. -
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 Carpets
With Applications to Uniformization /[electronic resource] :by Dimitrios Ntalampekos. - 1st ed. 2020. - X, 186 p. 10 illus., 4 illus. in color.online resource. - Lecture Notes in Mathematics,22680075-8434 ;. - Lecture Notes in Mathematics,2144.
This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński 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 Sierpiński 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 Sierpiński 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:
669490
Analysis.
LC Class. No.: QA331-355
Dewey Class. No.: 515.9
Potential Theory on Sierpiński Carpets = With Applications to Uniformization /
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