128 research outputs found

    On the deficiency of certain sets of exponentials

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    SIGLECopy held by FIZ Karlsruhe; available from UB/TIB Hannover / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

    Minimizing the integral of the Laplacian of a function squared with prescribed values on interior boundaries Theory of polysplines, I

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    In this paper we consider the minimization of the integral of the Laplacian of a function squared (and more general functionals) with prescribed values on interior boundaries, in the domain D. We prove that the solution is a function biharmonic out of the interior boundaries, which satisfies some matching conditions on the interior boundaries. There is a close analogy with the one-dimensional cubic splines, which is the reason for calling the solution polyspline of order 2, or biharmonic polyspline. Similarly, when the quadratic functional is the integral from (triangle "qf)"2, then the solution is a polyharmonic function of order 2q, triangle "2"qf(x) = 0, out of the interior boundaries, satisfying matching conditions on the last, and is called a polyspline of order 2q. Uniqueness and existence for polysplines of order 2q, when the interior boundary consists of at least q closed infinitely smooth surfaces (including the boundary of the domain D), is provedAvailable from TIB Hannover: RO 1945(211) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

    Families of analytic interstructures and Douady's space

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    SIGLETIB: RO 1945 (19) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

    Special graph classes A survey

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    This survey attempts to describe the world of special graph classes with emphasis on special perfect graphs. The material is selected from an algorithmic point of view. For solving algorithmic problems on graphs the structure properties of graphs like descriptions by trees, algebraic generations, intersection models and others are very important. Characterizations and inclusions of classes are collected in a systematic way, the recognition complexity of classes is mentioned and a figure describes the relationships of about 120 classes w.r.t. inclusionAvailable from TIB Hannover: RO 1945(199) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLErev.ed.DEGerman

    Degree of approximation by lacunary interpolators (0,...,R-2,R) interpolation

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    Present paper is the extended version of an invited lecture given at the International Conference on Constructive Function Theory, Edmonton/Canada, July 22-26, 1986SIGLETIB: RO 1945 (100) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

    Untersuchungen des Teichmueller-Raums T mit Hilfe der 3-Weierstrass-Punkte

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    TIB: RO 1945 (10) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

    Ein inverses selbstadjungiertes Eigenwertproblem beliebiger gerader Ordnung

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    SIGLETIB: RO 1945 (33) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

    Eine Darstellung der Eulerschen Konstanten

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    To appear in: Mathematisch-Physikalische SemesterberichteTIB: RO 1945 (53) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman
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