In Inverse Problem for Trigonometric Polynomials: Does the Distribution of a Homogeneous Polynomial in a Gaussian Random Point Define the Polynomial?
It is shown that the probability distribution of the value of a homogeneous polynomial in two Gaussian variables determines the polynomial up to some explicitly described ambiguity, if the degree of the polynomial is five or less, or for generic polynomials of arbitrary degree.
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| Veröffentlicht in: | Advances in applied mathematics 1994-09, Vol.15 (3), p.336-359 |
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| container_start_page | 336 |
| container_title | Advances in applied mathematics |
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| creator | Baryshnikov, Y.M. Stadje, W. |
| description | It is shown that the probability distribution of the value of a homogeneous polynomial in two Gaussian variables determines the polynomial up to some explicitly described ambiguity, if the degree of the polynomial is five or less, or for generic polynomials of arbitrary degree. |
| doi_str_mv | 10.1006/aama.1994.1012 |
| format | Article |
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| identifier | ISSN: 0196-8858 |
| ispartof | Advances in applied mathematics, 1994-09, Vol.15 (3), p.336-359 |
| issn | 0196-8858 1090-2074 |
| language | eng |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Exact sciences and technology Fourier analysis Functions of a complex variable Mathematical analysis Mathematics Sciences and techniques of general use Special functions |
| title | In Inverse Problem for Trigonometric Polynomials: Does the Distribution of a Homogeneous Polynomial in a Gaussian Random Point Define the Polynomial? |
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