We establish sharp asymptotics for the$L$^{$p$}-norm of Hermite polynomials and prove convergence in distribution of suitably normalized Wick powers. The results are combined with numerical integration to study an extremal problem on Wiener chaos.
Nessim Sibonyaffiliated Withuniversite De Parissud. Average growth estimates for hyperplane sections of entire analytic sets. 1981.
2
Universita Di Pisa Maurizio Cornalbaaffiliated Withistituto Matematico L Tonelli. Analytic cycles and vector bundles on non-compact algebraic varieties. 1975.
3
Korhonen R. A Difference Picard Theorem for Meromorphic Functions of Several Variables[J]. Computational Methods and Function Theory, 2012, 12(1): 343-361.
4
Jost J, Yau S T. The strong rigidity of locally symmetric complex manifolds of rank one and finite volume[J]. Mathematische Annalen, 1986, 275(2): 291-304.
5
梶原 壤二. 最近の多変数関数論. 1986.
6
Hu P, Yang C. The second main theorem for algebroid functions of several complex variables[J]. Mathematische Zeitschrift, 1995, 220(1): 99-126.
7
Gasbarri C. Analytic subvarieties with many rational points[J]. Mathematische Annalen, 2008, 346(1): 199-243.