On a class of modular numerical semigroups.

Ilhan, Sedat

Displaying similar documents to “On a class of modular numerical semigroups.”

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Approximation by nonlinear integral operators in some modular function spaces

Carlo Bardaro, Julian Musielak, Gianluca Vinti (1996)

Annales Polonici Mathematici

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Let G be a locally compact Hausdorff group with Haar measure, and let L⁰(G) be the space of extended real-valued measurable functions on G, finite a.e. Let ϱ and η be modulars on L⁰(G). The error of approximation ϱ(a(Tf - f)) of a function $f \in {(L ⁰ (G))}_{ϱ + η} \cap D o m T$ is estimated, where $(T f) (s) = \int_{G} K (t - s, f (t)) d t$ and K satisfies a generalized Lipschitz condition with respect to the second variable.

Class invariants and cyclotomic unit groups from special values of modular units

Amanda Folsom (2008)

Journal de Théorie des Nombres de Bordeaux

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In this article we obtain class invariants and cyclotomic unit groups by considering specializations of modular units. We construct these modular units from functional solutions to higher order $q$ -recurrence equations given by Selberg in his work generalizing the Rogers-Ramanujan identities. As a corollary, we provide a new proof of a result of Zagier and Gupta, originally considered by Gauss, regarding the Gauss periods. These results comprise part of the author’s 2006 Ph.D. thesis []...

Modular properties of theta-functions and representation of numbers by positive quadratic forms.

Vepkhvadze, T. (1997)

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On the number of representations of integers by quadratic forms in twelve variables.

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A note on pseudo-symmetric numerical semigroups.

Ilhan, Sedat, Suer, Meral (2009)

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$J_{1} (p)$ has connected fibers.

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A class of exponentially bounded distribution semigroups.

Mijatović, M., Pilipović, S. (2001)

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On a theorem of Zabczyk for semigroups of operators in locally convex spaces.

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Sigma order continuity and best approximation in $L_{ϱ}$ -spaces

Shelby J. Kilmer, Wojciech M. Kozƚowski, Grzegorz Lewicki (1991)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we give a characterization of $σ$ -order continuity of modular function spaces $L_{ϱ}$ in terms of the existence of best approximants by elements of order closed sublattices of $L_{ϱ}$ . We consider separately the case of Musielak–Orlicz spaces generated by non- $σ$ -finite measures. Such spaces are not modular function spaces and the proofs require somewhat different methods.