Analytic elements in p-adic analysis

✍ Scribed by Alain Escassut

Publisher: World Scientific
Year: 1995
Tongue: English
Leaves: 400
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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 elements, Mittag-Leffler series, factorization, Motzkin factorization, maximum principle, injectivity, algebraic properties of the algebra of the analytic elements on D, problems of analytic extension. This is applied to the differential equation y'=hy (y,h analytic elements on D), analytic interpolation, p-adic group duality on meromorphic products and to the p-adic Fourier transform

📜 SIMILAR VOLUMES

Analytic elements in p-adic analysis

📁 Analytic elements in p-adic analysis

✍ Alain Escassut, Escassut 📂 Library 📅 1995 🏛 World Scientific Publishing Company 🌐 English

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 eleme

p-Adic Analysis

📁 p-Adic Analysis

✍ Francesco Baldassarri, Siegfried Bosch, Bernard Dwork (Editors) 📂 Library 📅 1991 🏛 Springer 🌐 English

The International Conference on p-adic Analysis is usually held every 3-4 years with the purpose of exchanging information at research level on new trends in the subject and of reporting on progress in central problems. This particular conference, held in Trento, Italy in May 1989, was dedicated to

p-adic Analysis

📁 p-adic Analysis

✍ Baldassarri F. (ed.), Dwork B. (ed.), Bosch S. (ed.) 📂 Library 📅 1991 🏛 Springer 🌐 English

Proceedings of the International Conference held in Trento, Italy, May 29—June 2, 1989

P-adic functional analysis

📁 P-adic functional analysis

✍ N. De Grande-De Kimpe; Wilhelmus Hendricus Schikhof; Samuel Navarro 📂 Library 📅 1994 🏛 Editorial Universidad se Santiago 🌐 English

p-adic Functional Analysis

📁 p-adic Functional Analysis

✍ De Grande-De Kimpe, N.; Kakol, J.; Perez-Garcia, Cristina (eds.) 📂 Library 📅 1999 🏛 Marcel Dekker;CRC Press 🌐 English

A presentation of results in p-adic Banach spaces, spaces over fields with an infinite rank valuation, Frechet (and locally convex) spaces with Schauder bases, function spaces, p-adic harmonic analysis, and related areas. It showcases research results in functional analysis over nonarchimedean value

P-adic function analysis

📁 P-adic function analysis

✍ Bayod 📂 Library 📅 1991 🏛 CRC Press 🌐 English

Written by accomplished and well-known researchers in the field, this unique volume discusses important research topics on p-adic functional analysis and closely related areas, provides an authoritative overview of the main investigative fronts where developments are expected in the future, and more