Sampling on the Sierpinski gasket.
Oberlin, Richard, Street, Brian, Strichartz, Robert S. (2003)
Experimental Mathematics
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Displaying similar documents to “On sampling expansions of Kramer type.”
Sampling on the Sierpinski gasket.
The generalized sampling theorem for transforms of not necessarily square integrable functions.
Jerri, A.J. (1985)
International Journal of Mathematics and Mathematical Sciences
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Image sampling with quasicrystals.
Grundland, Mark, Patera, Jirí, Masáková, Zuzana, Dodgson, Neil A. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Shannon's sampling theorem, incongruent residue classes and Plancherel's theorem
Maurice M. Dodson (2002)
Journal de théorie des nombres de Bordeaux
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Sampling theory for multi-band signals is shown to have a logical structure similar to that of Fourier analysis.
Sampling theory for functions with fractal spectrum.
Huang, Nina N., Strichartz, Robert S. (2001)
Experimental Mathematics
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A sampling theorem associated with boundary-value problems with not necessarily simple eigenvalues.
Annaby, Mahmoud H., Hassan, Hassan A. (1998)
International Journal of Mathematics and Mathematical Sciences
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Construction of sampling and interpolating sequences for multi-band signals. the two-band case
Sergei Avdonin, Anna Bulanova, William Moran (2007)
International Journal of Applied Mathematics and Computer Science
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Recently several papers have related the production of sampling and interpolating sequences for multi-band signals to the solution of certain kinds of Wiener-Hopf equations. Our approach is based on connections between exponential Riesz bases and the controllability of distributed parameter systems. For the case of two-band signals we derive an operator whose invertibility is equivalent to the existence of a sampling and interpolating sequence, and prove the invertibility of this operator. ...
Approximately Optimum Two-Stage Sampling Plans.
B.F. Arnold (1985)
Metrika
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Procedures to Determine Optimum Two-Stage Sampling Plans by Attributes .
B.F. Arnold (1986)
Metrika
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On the analytic form of the discrete Kramer sampling theorem.
García, Antonio G., Hernández-Medina, Miguel A., Muñoz-Bouzo, María J. (2001)
International Journal of Mathematics and Mathematical Sciences
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Fixed precision optimal allocation in two-stage sampling
Wojciech Niemiro, Jacek Wesołowski (2001)
Applicationes Mathematicae
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Two-stage sampling schemes arise in survey sampling, especially in situations when the complete update of the frame is difficult. In this paper we solve the problem of fixed precision optimal allocation in two special two-stage sampling schemes. The solution is based on reducing the original question to an eigenvalue problem and then using the Perron-Frobenius theorem.
A Generalized Sampling Theorem with the Inverse of an Arbitrary Square Summable Sequence as Sampling Points.
Ahmed I. Zayed (1995)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Sampling measures.
Joaquim Ortega-Cerdà (1998)
Publicacions Matemàtiques
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We give a description of all measures such that for any function in a weighted Fock spaces the L norm with respect to the measure is equivalent to the usual norm in the space. We do so by a process of discretization that reduces the problem to the description of sampling sequences. The same kind of result holds for weighted Bergman spaces and the Paley-Wiener space.