HERMITE FUNCTION EXPANSIONS VERSUS HERMITE POLYNOMIAL EXPANSIONS
نویسندگان
چکیده
منابع مشابه
Maximal Operators Associated with Generalized Hermite Polynomial and Function Expansions
We study the weak and strong type boundedness of maximal heat–diffusion operators associated with the system of generalized Hermite polynomials and with two different systems of generalized Hermite functions. We also give a necessary background to define Sobolev spaces in this context.
متن کاملHermite Expansions in Monte-Carlo Computation*
Monte-Carlo computations often yield numerical answers of limited accuracy, and are therefore employed as a last resort. It has been found, however, that some of the limitations of Monte-Carlo methods can be overcome through a judicious use of orthogonal expansions. When a numerical answer is obtained as the expected value of an estimator, expansion of that estimator in a series of orthogonal f...
متن کاملHigher order Riesz transforms for Hermite expansions
In this paper, we consider the Riesz transform of higher order associated with the harmonic oscillator [Formula: see text], where Δ is the Laplacian on [Formula: see text]. Moreover, the boundedness of Riesz transforms of higher order associated with Hermite functions on the Hardy space is proved.
متن کاملTomographic Reconstruction of Band-limited Hermite Expansions.
In this work, we investigate the parallel-beam projection and reconstruction of band-limited Hermite expansions. Using a recently developed coordinate conversion technique, we show how the Fourier slice theorem can be directly applied. In our new approach, we do not introduce a non-integrable filter that appears in the filtered backprojection method. Since a projection of a 2D band-limited Herm...
متن کاملFourier - Hermite Expansions for Nonlinear Filtering
The objective of this paper is to develop an approach to nonlinear ltering which allows the separation of time consuming computations involving the coe cients of the system from those dealing with the observation data only. The approach is based on a Cameron-Martin type expansion for nonnormalized optimal lters. 2
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2006
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089506003004