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Sampling of homogeneous polynomials and approximating multivariate functions
-
Somantika Datta
,
Stephen Howard
Published/Copyright:
February 1, 2013
Abstract.
Conditions for reconstruction of multivariate homogeneous polynomials from sets of sample values are introduced. In addition, it is shown that one can explicitly obtain the polynomial coefficients from the sample data by considering frames for spaces of symmetric tensors. Further, it is discussed how the reconstruction of homogeneous polynomials can be used to approximate certain smooth functions.
Received: 2012-09-22
Accepted: 2013-01-04
Published Online: 2013-02-01
Published in Print: 2013-02-01
© 2013 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- A recent application of power increasing sequences
- Positivity of the transmutation operators associated with a Cherednik type operator on the real line
- Solvability of p-Laplacian singular boundary value problems on time scales
- Harmonic boundary value problems in a quarter ring domain
- Sampling of homogeneous polynomials and approximating multivariate functions
