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.

Bibliographische Detailangaben

Veröffentlicht in:	Advances in applied mathematics 1994-09, Vol.15 (3), p.336-359
Hauptverfasser:	Baryshnikov, Y.M., Stadje, W.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Fourier analysis Functions of a complex variable Mathematical analysis Mathematics Sciences and techniques of general use Special functions
Online-Zugang:	Volltext
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