Displaying similar documents to “On a class of harmonic polynomials”

Some counterexamples to subexponential growth of orthogonal polynomials

Marcin Zygmunt (1995)

Studia Mathematica

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We give examples of polynomials p(n) orthonormal with respect to a measure μ on ⨍ such that the sequence {p(n,x)} has exponential lower bound for some points x of supp μ. Moreover, the set of such points is dense in the support of μ.

Hermite and Laguerre wave packet expansions

Jay Epperson (1997)

Studia Mathematica

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This paper describes expansions in terms of Hermite and Laguerre functions similar to the Frazier-Jawerth expansion in Fourier analysis. The wave packets occurring in these expansions are finite linear combinations of Hermite and Laguerre functions. The Shannon sampling formula played an important role in the derivation of the Frazier-Jawerth expansion. In this paper we use the Christoffel-Darboux formula for orthogonal polynomials instead. We obtain estimates on the decay of the Hermite...

Quadratic Mean Radius of a Polynomial in C(Z)

Ivanov, K., Sharma, A. (1996)

Serdica Mathematical Journal

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* Dedicated to the memory of Prof. N. Obreshkoff A Schoenberg conjecture connecting quadratic mean radii of a polynomial and its derivative is verified for some kinds of polynomials, including fourth degree ones.

On Wiener–Hopf factors for stable processes

Piotr Graczyk, Tomasz Jakubowski (2011)

Annales de l'I.H.P. Probabilités et statistiques

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We give a series representation of the logarithm of the bivariate Laplace exponent of -stable processes for almost all ∈ (0, 2].