By Jesus Araujo-gomez, Bertin Diarra, Alain Escassut

ISBN-10: 0821852914

ISBN-13: 9780821852910

This quantity comprises papers according to lectures given on the 11th overseas convention on $p$-adic useful research, which used to be held from July 5-9, 2010, in Clermont-Ferrand, France. The articles gathered the following characteristic fresh advancements in a variety of components of non-Archimedean research: Hilbert and Banach areas, finite dimensional areas, topological vector areas and operator conception, strict topologies, areas of constant services and of strictly differentiable services, isomorphisms among Banach services areas, and degree and integration. different themes mentioned during this quantity comprise $p$-adic differential and $q$-difference equations, rational and non-Archimedean analytic capabilities, the spectrum of a few algebras of analytic features, and maximal beliefs of the ultrametric corona algebra

Show description

Read Online or Download Advances in non-Archimedean Analysis: 11th International Conference P-adic Functional Analysis July 5-9, 2010 Universite Blaise Pascal, Clermont-ferrand, France PDF

Best number theory books

Download e-book for kindle: Elementary Theory of Numbers. by Sierpinski W.

Hardbound. because the booklet of the 1st version of this paintings, massive development has been made in lots of of the questions tested. This version has been up to date and enlarged, and the bibliography has been revised. the diversity of issues lined the following comprises divisibility, diophantine equations, best numbers (especially Mersenne and Fermat primes), the elemental mathematics capabilities, congruences, the quadratic reciprocity legislation, growth of genuine numbers into decimal fractions, decomposition of integers into sums of powers, another difficulties of the additive concept of numbers and the speculation of Gaussian integers.

New PDF release: Number theory: Paris 1993-4

This booklet covers the total spectrum of quantity conception and consists of contributions from recognized, foreign experts. those lectures represent the newest advancements in quantity concept and are anticipated to shape a foundation for additional discussions. it truly is a useful source for college students and researchers in quantity conception.

Read e-book online A Concise Introduction to the Theory of Numbers PDF

Quantity thought has a protracted and unique background and the strategies and difficulties in relation to the topic were instrumental within the origin of a lot of arithmetic. during this ebook, Professor Baker describes the rudiments of quantity thought in a concise, basic and direct demeanour. although many of the textual content is classical in content material, he comprises many publications to extra learn with the intention to stimulate the reader to delve into the good wealth of literature dedicated to the topic.

Igor R. Shafarevich's Discourses on Algebra PDF

I want that algebra may be the Cinderella ofour tale. within the math­ ematics application in faculties, geometry has frequently been the favourite daugh­ ter. the quantity of geometric wisdom studied in colleges is approx­ imately equivalent to the extent completed in historic Greece and summarized by way of Euclid in his parts (third century B.

Extra info for Advances in non-Archimedean Analysis: 11th International Conference P-adic Functional Analysis July 5-9, 2010 Universite Blaise Pascal, Clermont-ferrand, France

Example text

As we cannot have a sequence of poles of f with strictly decreasing modules, the above process must stop at a certain rank, and this completes the proof of our assertion. Corollary 1: Suppose that, in Equation (E”), the polynomial A0 (X) is of the form aX m with a ∈ K \ {0} and m ∈ N . Then every solution f ∈ M(K) of Equation (E”) (with no pole at the origin) is an entire function. Proof: Indeed, such a solution cannot have non-zero poles, and hence is entire. Proof of Theorem 2: As indicated above, the whole problem is reduced to the s Ai (x)(σqi f )(x) = 0.

Khrennikov, Information dynamics in cognitive, psychological, social, and anomalous phenomena. : Fundamental Theories of Physics, Kluwer, Dordreht, 2004. [9] K. Mahler. p-adic numbers and their functions. Cambridge Univ. Press, 1981. (2nd edition). [10] W. H. Schikhof. Ultrametric calculus. An introduction to p-adic analysis. Cambridge University Press, Cambridge, 1984. I. Yurova, Van der Put basis and p-adic dynamics, p-Adic Numbers, Ultrametric Analysis, and Applications, 2(2), 2010, pp. 175-178 Institute for Information Security, Lomonosov Moscow State University, Michurinsky Prosp.

K¸akol and C. Perez-Garcia) Metrizability of compactoid sets in non-Archimedean Hausdorff (LM)-spaces. Ultrametric Functional Analysis (Nijmegen, 2002), 99-107, Contemp. , 319, Amer. Math. , Providence, RI, 2003. [65] (with C. Perez-Garcia) Strictness and closedness in p-Adic inductive limits. Ultrametric Functional Analysis (Aubi`ere, 2004), 79-100, Contemp. , 384, Amer. Math. , Providence, RI, 2005. [66] Sequence-spaces and applications. p-Adic Mathematical Physics, 206-213, AIP Conf. , 826, Amer.

Download PDF sample

Advances in non-Archimedean Analysis: 11th International Conference P-adic Functional Analysis July 5-9, 2010 Universite Blaise Pascal, Clermont-ferrand, France by Jesus Araujo-gomez, Bertin Diarra, Alain Escassut


by Thomas
4.3

Rated 4.28 of 5 – based on 25 votes