659 research outputs found

    On Drinfeld modular forms of higher rank II

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    We show that the absolute value f|f| of an invertible holomorphic function ff on the Drinfeld symmetric space \OM^r (r2)(r \geq 2) is constant on fibers of the building map to the Bruhat-Tits building \MB\MT. Its logarithm logf\log|f| is an affine map on the realization of \MB\MT. These results are used to study the vanishing loci of modular forms (coefficient forms, Eisenstein series, para-Eisenstein series) and to determine their images in \MB\MT

    On the eigenvectors of a finite-difference approximation to the Sturm-Liouville eigenvalue problem

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    On the convergence of the von Neumann difference approximation to hyperbolic initial boundary value problems

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    Über mehrstufige Iterationsverfahren und die Lösung der Hammersteinschen Gleichung

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    Long-range and periodic solutions of parabolic problems

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    On the solution fo systems of equations by the Epsilon-algorithm of Wynn

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    The ε-algorithm has been proposed by Wynn several times in order to accelerate the convergence Qf vector sequences, but one does not know much about the effect it produces on systems of equations. In this paper we prove that the algorithm applied to the Picard sequence Xi+
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