A remark on Whittaker functions on SL
Taku Ishii (2005)
Annales de l’institut Fourier
Similarity:
We prove the recursive integral formula of class one -Whittaker functions on SL conjectured and verified in case of by Stade.
Taku Ishii (2005)
Annales de l’institut Fourier
Similarity:
We prove the recursive integral formula of class one -Whittaker functions on SL conjectured and verified in case of by Stade.
T. Godoy, L. Saal, M. Urciuolo (1997)
Colloquium Mathematicae
Similarity:
Let m: ℝ → ℝ be a function of bounded variation. We prove the -boundedness, 1 < p < ∞, of the one-dimensional integral operator defined by where for a family of functions satisfying conditions (1.1)-(1.3) given below.
R. Faber (1995)
Studia Mathematica
Similarity:
We prove that for every closed locally convex subspace E of and for any continuous linear operator T from to there is a continuous linear operator S from to such that T = QS where Q is the quotient map from to .
M. Grigorian (1999)
Studia Mathematica
Similarity:
It is proved that if is a complete orthonormal system of bounded functions and ɛ>0, then there exists a measurable set E ⊂ [0,1] with measure |E|>1-ɛ, a measurable function μ(x), 0 < μ(x) ≤ 1, μ(x) ≡ 1 on E, and a series of the form , where for all q>2, with the following properties: 1. For any p ∈ [1,2) and there are numbers , k=1,2,…, = 1 or 0, such that 2. For every p ∈ [1,2) and there are a function with g(x) = f(x) on E and numbers , k=1,2,…, or 0,...
Fabio Nicola (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Given an embeddable manifold and a non-characteristic hypersurface we present a necessary condition for the tangential Cauchy-Riemann operator on to be locally solvable near a point determined by .
G. Sampson (1993)
Studia Mathematica
Similarity:
We consider operators of the form with Ω(y,u) = K(y,u)h(y-u), where K is a Calderón-Zygmund kernel and (see (0.1) and (0.2)). We give necessary and sufficient conditions for such operators to map the Besov space (= B) into itself. In particular, all operators with , a > 0, a ≠ 1, map B into itself.
Jean-Pierre Gazeau, Jean-Louis Verger-Gaugry (2004)
Journal de Théorie des Nombres de Bordeaux
Similarity:
We investigate in a geometrical way the point sets of obtained by the -numeration that are the -integers where is a Perron number. We show that there exist two canonical cut-and-project schemes associated with the -numeration, allowing to lift up the -integers to some points of the lattice ( degree of ) lying about the dominant eigenspace of the companion matrix of . When is in particular a Pisot number, this framework gives another proof of the fact...
I. Gasparis, D. Leung (2000)
Studia Mathematica
Similarity:
It is shown that for every 1 ≤ ξ < ω, two subspaces of the Schreier space generated by subsequences and , respectively, of the natural Schauder basis of are isomorphic if and only if and are equivalent. Further, admits a continuum of mutually incomparable complemented subspaces spanned by subsequences of . It is also shown that there exists a complemented subspace spanned by a block basis of , which is not isomorphic to a subspace generated by a subsequence of ,...