Advances in Ultrametric Analysis

American Mathematical Society (Verlag)
  • erschienen am 30. April 2018
  • Buch
  • |
  • Softcover
  • |
  • 296 Seiten
978-1-4704-3491-5 (ISBN)
This book contains the proceedings of the 14th International Conference on $p$-adic Functional Analysis, held from June 30-July 5, 2016, at the Universite d'Auvergne, Aurillac, France. Articles included in this book feature recent developments in various areas of non-Archimedean analysis: summation of p -adic series, rational maps on the projective line over Q p , non-Archimedean Hahn-Banach theorems, ultrametric Calkin algebras, G -modules with a convex base, non-compact Trace class operators and Schatten-class operators in p -adic Hilbert spaces, algebras of strictly differentiable functions, inverse function theorem and mean value theorem in Levi-Civita fields, ultrametric spectra of commutative non-unital Banach rings, classes of non-Archimedean Koethe spaces, p -adic Nevanlinna theory and applications, and sub-coordinate representation of p -adic functions. Moreover, a paper on the history of p -adic analysis with a comparative summary of non-Archimedean fields is presented.

Through a combination of new research articles and a survey paper, this book provides the reader with an overview of current developments and techniques in non-Archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.
  • Englisch
  • Providence
  • |
  • USA
  • Für Beruf und Forschung
  • Höhe: 254 mm
  • |
  • Breite: 178 mm
978-1-4704-3491-5 (9781470434915)
1470434911 (1470434911)
weitere Ausgaben werden ermittelt
Alain Escassut, Universite Clermont Auvergne, Aubiere, France.

Cristina Perez-Garcia, Universidad de Cantabria, Santander, Spain.

Khodr Shamseddine, University of Manitoba, Winnipeg, Canada.

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