Ruiz Velasco

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  • Claudio De, Jesús Pita, Ruiz Velasco, Stephen Bruce Sontz
  • 2005
We consider a μ-deformation of the Segal-Bargmann transform, which is a unitary map from a μ-deformed ground state representation onto a μ-deformed Segal-Bargmann space. We study the μ-deformed SegalBargmann transform as an operator between Lp spaces and then we obtain sufficient conditions on the Lebesgue indices for this operator to be bounded. A family(More)
  • Claudio De, Jesús Pita, Ruiz Velasco, Stephen Bruce Sontz
  • 2005
We consider a μ-deformation of the Segal-Bargmann transform, which is a unitary map from a μ-deformed quantum configuration space onto a μdeformed quantum phase space (the μ-deformed Segal-Bargmann space). Both of these Hilbert spaces have canonical orthonormal bases. We obtain explicit formulas for the Shannon entropy of some of the elements of these(More)
, together with the well-known relations involving α and β. What we use about Fibonacci identities is contained in the references [7] and [14]. Throughout this work, s will denote a natural number. For a given Fibonacci number Fn, n ∈ N, the s-Fibonacci factorial of Fn, denoted by (Fn!)s, is defined as (Fn!)s = FsnFs(n−1) · · ·Fs. Given n ∈ N′ and k ∈ {0,(More)
We use N for the natural numbers and N for N∪ {0}. Throughout this article s will denote a natural number. Recall that Fibonacci polynomials Fn (x) are defined as F0 (x) = 0, F1 (x) = 1, and Fn (x) = xFn−1 (x) + Fn−2 (x), n ≥ 2, and extended for negative integers as F−n (x) = (−1) Fn (x). Similarly, Lucas polynomials Ln (x) are defined as L0 (x) = 2, L1 (x)(More)
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