Matrix Transformations in Non-Archimedian Fields
نویسندگان
چکیده
منابع مشابه
Some remarks on open analytic curves over non-archimedian fields
We study open analytic curves over non-archimedian fields and their formal models. In particular, we give a criterion, in terms of étale cohomology, when such a formal model is (almost) semistable.
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Following Monna [/], attempts have been made in recent times to study different summability methods over non-archimedian fields which are complete in the metric of valuation. In all such attempts, as in [3], [4], significant differences in contrast to the classical case have been obtained. The object of the present short note is to prove by an example that the classical theorem of Brudno [2] de...
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Recall the following notation. Let F be either R or C. Let GF = GL2(F) and K be a maximal compact, so K = O(2, R) in the case F = R and U(2) in the case F = C. Let g denote the lie algebra of GF, viewed as a Lie algebra over the reals and let gC := g⊗R C denote its complexification. Let μ1, μ2 : F× → C× denote two quasi-characters of F, which are by definition to be continuous maps, F× → C×. We...
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Topological properties of the spaces of analytic test functions and distributions are investigated in the framework of the general theory of nonarchimedean locally convex spaces. The Laplace transform, topological isomorphism, is introduced and applied to the differential equations of nonarchimedean mathematical physics (Klein-Gordon and Dirac propagators).
متن کاملApplication to Matrix Transformations
Given any sequence τ = (τn)n≥1 of positive real numbers and any set E of complex sequences, we write Eτ for the set of all sequences x = (xn)n≥1 such that x/a = (xn/an)n≥1 ∈ E. We define the sets Wτ = (w∞)τ and W 0 τ = (w0)τ , where w∞ is the set of all sequences such that supn (n −1∑n m=1 |xm|) < ∞, and w0 is the set of all sequences such that limn→∞ (n−1 ∑n m=1 |xm|) = 0. Then we explicitly c...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1964
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(64)50048-7