Potential theory on Sierpiński carpets [Documento eletrónico] : with applications to uniformization / Dimitrios Ntalampekos
Language: eng.Country: Switzerland, Swiss Confederation, Cham.Publication: Cham : Springer International Publishing, 2020Description: X, 186 p. : il.ISBN: 978-3-030-50805-0.Series: Lecture Notes in Mathematics, vol. 2268Subject - Topical Name: Functions of complex variables | Potential theory (Mathematics) | Functional analysis | Measure theory | Mathematical analysis Online Resources:Click here to access online| Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
|---|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA331.7.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96257 |
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| QA331.7.SPR FCT Continuous semigroups of holomorphic self-maps of the unit disc | QA331.7.SPR FCT Hermitian analysis, from fourier series to Cauchy-Riemann geometry | QA331.7.SPR FCT Advancements in complex analysis, from theory to practice | QA331.7.SPR FCT Potential theory on Sierpiński carpets, with applications to uniformization | QA331.7.SPR FCT Principles of complex analysis | QA331.7.SPR FCT Extension problems and stable ranks, a space odyssey | QA331.7.SPR FCT Classical analysis in the complex plane |
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.
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