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El. knyga: Advances in Non-Archimedean Analysis

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  • Formatas: 335 pages
  • Serija: Contemporary Mathematics
  • Išleidimo metai: 01-May-2016
  • Leidėjas: American Mathematical Society
  • ISBN-13: 9781470432041
Kitos knygos pagal šią temą:
  • Formatas: 335 pages
  • Serija: Contemporary Mathematics
  • Išleidimo metai: 01-May-2016
  • Leidėjas: American Mathematical Society
  • ISBN-13: 9781470432041
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This volume contains the Proceedings of the 13th International Conference on $p$-adic Functional Analysis, held from August 12-16, 2014, at the University of Paderborn, Paderborn, Germany.

The articles included in this book feature recent developments in various areas of non-Archimedean analysis, non-Archimedean functional analysis, representation theory, number theory, non-Archimedean dynamical systems and applications.

Through a combination of new research articles and survey papers, 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.
Preface v
Obituary note vi
Compact self-adjoint operators on free Banach spaces of countable type
1(18)
J. Aguayo
M. Nova
Fundamental solutions of pseudodifferential equations associated with quadratic forms in even dimension
19(10)
O. F. Casas-Sanchez
J. Galeano-Penaloza
J. J. Rodriguez-Vega
Spectral theory for finite rank perturbations of unbounded diagonal operators in non-Archimedean Hilbert space
29(12)
Toka Diagana
Francois Ramaroson
Ultrametric continuous linear representations of the compact groups SL(2, Zp) and GL(2, Zp)
41(16)
Bertin Diarra
Tongobe Mounkoro
Survey on the p-adic Hayman conjecture
57(16)
Alain Escassut
Jacqueline Ojeda
Invariant manifolds for finite-dimensional non-Archimedean dynamical systems
73(18)
Helge Glockner
On non-Archimedean quantitative compactness theorems
91(12)
J. Kakol
A. Kubzdela
Large linear spaces of invertible operators on a Banach space
103(18)
Hans A. Keller
Applications of p-adic numbers: from physics to geology
121(12)
A. Yu. Khrennikov
K. Oleschko
M. de Jesus Correa Lopez
An alternative proof of the non-Archimedean Montel theorem for polynomial dynamics
133(6)
Junghun Lee
New identities and congruences for Euler numbers
139(20)
Hamadoun Maiga
On some transcendental values of the p-adic gamma function
159(6)
Hamza Menken
Abdulkadir Asan
The implicit function theorem on a field K with an infinite rank valuation
165(12)
Hector M. Moreno
Fractional differentiability and unitarity on parabolic inductions
177(22)
Enno Nagel
Wim Schikhof: our colleague and friend
199(52)
H. Ochsenius
E. Olivos
C. Perez-Garcia
Solvability of rank one p-adic differential and q-difference equations over the Amice ring
251(28)
Andrea Pulita
A note on Banach spaces over a rank 1 discretely valued field
279(10)
W. H. Schikhof
E. Olivos
Measure theory and Lebesgue-like integration in two and three dimensions over the Levi-Civita field
289(38)
Khodr Shamseddine
Darren Flynn
On complemented subspaces of non-Archimedean generalized power series spaces
327
Wieslaw Sliwa
Agnieszka Ziemkowska
Helge Glockner, Universitat Paderborn, Germany.

Alain Escassut, Universite Blaise Pascal, Aubiere, France.

Khodr Shamseddine, University of Manitoba, Winnipeg, Manitoba, Canada.