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Lecture Notes in Mathematics
cover

Potential Theory on Sierpiński Carpets

With Applications to Uniformization

Authors: Ntalampekos, Dimitrios

  • Reflects the most recent developments in the field
  • The exposition is entirely self-contained
  • Provides detailed proofs preceded by outlines for the convenience of the reader
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eBook 37,44 €
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  • The eBook version of this title will be available soon
  • 까지: September 11, 2020
  • ISBN 978-3-030-50805-0
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Softcover 44,99 €
price for Korea, Republic of (South Korea) (gross)
  • 까지: September 11, 2020
  • ISBN 978-3-030-50804-3
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  • Immediate ebook access, if available*, with your print order
About this book

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.

About the authors

Dimitrios Ntalampekos is a Milnor Lecturer at Stony Brook University, working in the field of analysis on metric spaces. He completed his PhD degree at the University of California, Los Angeles under the supervision of Mario Bonk. He holds a MS in Mathematics from the same university, and pursued his undergraduate studies at the Aristotle University of Thessaloniki.

Buy this book

eBook 37,44 €
price for Korea, Republic of (South Korea) (gross)
  • The eBook version of this title will be available soon
  • 까지: September 11, 2020
  • ISBN 978-3-030-50805-0
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 44,99 €
price for Korea, Republic of (South Korea) (gross)
  • 까지: September 11, 2020
  • ISBN 978-3-030-50804-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
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Bibliographic Information

Bibliographic Information
Book Title
Potential Theory on Sierpiński Carpets
Book Subtitle
With Applications to Uniformization
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2268
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-50805-0
DOI
10.1007/978-3-030-50805-0
Softcover ISBN
978-3-030-50804-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 186
Number of Illustrations
6 b/w illustrations, 4 illustrations in colour
Topics

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