Publication:
Inverse Theorem on Row Sequences of Linear Pade-orthogonal Approximation

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URI: http://hdl.handle.net/10016/23320
ISSN: 1617-9447
DOI: 10.1007/s40315-015-0121-3
UXXI: AR/0000017519
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inverse_lopez_CMFT_2015_ps.pdf (540.82 KB)
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2015-12
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Springer
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Abstract
We give necessary and sufficient conditions for the convergence with geometric rate of the denominators of linear Pade-orthogonal approximants corresponding to a measure supported on a general compact set in the complex plane. Thereby, we obtain an analog of Gonchar's theorem on row sequences of Pade approximants.
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Padé approximation, Padé-orthogonal approximation, Orthogonal polynomials, Inverse problems, Fourier-Padé approximation
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Computational Methods and Function Theory, 2015, 15, pp. 529-554.
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