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Potential Theory on Sierpiński Carpets : With Applications to Uniformization / by Dimitrios Ntalampekos.
- Format:
- Book
- Author/Creator:
- Ntalampekos, Dimitrios, Author.
- Series:
- Mathematics and Statistics (SpringerNature-11649)
- Lecture Notes in Mathematics, 1617-9692 ; 2268
- Language:
- English
- Subjects (All):
- Functions of complex variables.
- Potential theory (Mathematics).
- Functional analysis.
- Measure theory.
- Mathematical analysis.
- Functions of a Complex Variable.
- Potential Theory.
- Functional Analysis.
- Measure and Integration.
- Analysis.
- Local Subjects:
- Functions of a Complex Variable.
- Potential Theory.
- Functional Analysis.
- Measure and Integration.
- Analysis.
- Physical Description:
- 1 online resource (X, 186 pages) : 10 illustrations, 4 illustrations in color.
- Edition:
- 1st ed. 2020.
- Contained In:
- Springer Nature eBook
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2020.
- System Details:
- text file PDF
- Summary:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 978-3-030-50805-0
- 9783030508050
- Access Restriction:
- Restricted for use by site license.
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