Alain Escassut – författare
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7 produkter
Advances in Ultrametric Analysis
Av Alain Escassut, Cristina Perez-Garcia m. fl.
Häftad, 2018
1703 kr
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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 …
P-ADIC ANALYTIC FUNCTIONS
Inbunden, 2021
1846 kr
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P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field.Various properties of p-adic exponential-polynomials are examined, such as the Hermite-Lindemann theorem in a p-adic field, with a new …
BANACH ALGEBRAS OF ULTRAMETRIC FUNCTIONS
Inbunden, 2022
1641 kr
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This book examines ultrametric Banach algebras in general. It begins with algebras of continuous functions, and looks for maximal and prime ideals in connections with ultrafilters on the set of definition. The multiplicative spectrum has shown to be indispensable in ultrametric analysis and is …
VALUE DISTRIBUTION IN ULTRAMETRIC ANALYSIS AND APPLICATIONS
Inbunden, 2025
2674 kr
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After a construction of the complete ultrametric fields K, the book presents most of properties of analytic and meromorphic functions in K: algebras of analytic elements, power series in a disk, order, type and cotype of growth of entire functions, clean functions, question on a relation true for …
VALUE DISTRIBUTION IN P-ADIC ANALYSIS
Inbunden, 2016
2881 kr
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The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials. …
ANALYTIC ELEMENTS IN P-ADIC ANALYSIS
Inbunden, 1995
2281 kr
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This is probably the first book dedicated to this topic. The behaviour of the analytic elements on an infraconnected set D in K an algebraically closed complete ultrametric field is mainly explained by the circular filters and the monotonous filters on D, especially the T-filters: zeros of the …
ULTRAMETRIC BANACH ALGEBRAS
Inbunden, 2003
1936 kr
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In this book, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebras, and circular filters which characterize absolute values on polynomials and make a nice tree structure. The Shilov boundary does exist for normed ultrametric …