منابع مشابه
SUBREPRESENTATION THEOREM FOR p-ADIC SYMMETRIC SPACES
The notion of relative cuspidality for distinguished representations attached to p-adic symmetric spaces is introduced. A characterization of relative cuspidality in terms of Jacquet modules is given and a generalization of Jacquet’s subrepresentation theorem to the relative case (symmetric space case) is established.
متن کامل2 A CERTAIN p - ADIC SPECTRAL THEOREM
3 ABSTRACT. We extend a p-adic spectral theorem of M. M. Vishik to a certain class of p-adic Banach algebras. This class includes inductive limits of finite-dimensional p-Banach algebras of the form B(X), where X is a p-adic Banach space of the form X ≃ Ω p (J), J being a finite nonempty set. In particular, we present a p-adic spectral theorem for p-adic UHF algebras and p-adic TUHF algebras (T...
متن کاملA p-adic local monodromy theorem
We prove a local monodromy theorem for p-adic differential equations on an annulus, answering a question of R. Crew. Specifically, suppose given a finite free module over the Robba ring (the ring of germs of functions analytic on some open p-adic annulus with outer radius 1) with a connection and a compatible Frobenius structure. We prove that the module admits a basis over a finite extension o...
متن کاملA KÜNNETH THEOREM FOR p-ADIC GROUPS
Let F be a non-Archimedean local field. LetG stand for the F -points of a connected reductive algebraic group defined over F . We will refer to G as a p-adic group, with the understanding that the base field F is fixed once and for all. We let R(G) denote the category of smooth complex representations of G. It is well known [1] that this is an abelian category and has enough projectives and hen...
متن کاملp-adic Shearlets
The field $Q_{p}$ of $p$-adic numbers is defined as the completion of the field of the rational numbers $Q$ with respect to the $p$-adic norm $|.|_{p}$. In this paper, we study the continuous and discrete $p-$adic shearlet systems on $L^{2}(Q_{p}^{2})$. We also suggest discrete $p-$adic shearlet frames. Several examples are provided.
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ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 1990
ISSN: 1988-2807,1139-1138
DOI: 10.5209/rev_rema.1990.v3.n1.18034