منابع مشابه
Bounds on Functions with N-th order Bandlimited Hankel Transforms
N -th order Hankel Transforms are important for the reconstruction in Magnetic Resonance Imaging (MRI), CAT etc. In this contribution we derive new bounds on functions, which have bandlimited their n-th order Hankel Transform.
متن کاملFast Hankel Transforms
JOHANSEN, H. K., and SORENSEN, K., 1979, Fast Hankel Transforms, Geophysical Prospecting 27, 876-901. Inspired by the linear filter method introduced by D. P. Ghosh in rg7o we have developed a general theory for numerical evaluation of integrals of the Hankel type: m g(r) = Sf(A)hJ,(Ar)dh; v > I. II Replacing the usual sine interpolating function by sinsh (x) = a . sin (xx)/sinh (UTW), where th...
متن کاملHankel matrix transforms and operators
Correspondence: homidan@kfupm. edu.sa Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, P. O. Box 119, Saudi Arabia Abstract Hankel operators and Hankel transforms are required in a number of applications. This article proves a number of theorems that efficiently and accurately approximates a function using Hankel transforms and Hankel sum....
متن کاملEntire Functions and Integral Transforms by Louis De Branges
for all complex z. The space is introduced in [7], where it is characterized by three axioms. If E(a, z) and E(b> z) are entire functions which satisfy (1), then 3C(E(&)) will be contained isometrically in 3C(E(b)) if these functions satisfy the hypotheses of Theorem VII of [8]. Isometric inclusions of spaces of entire functions are a basic idea in [9] and [lO]. A fundamental property of these ...
متن کاملExtremal Vector Valued Inequalities for Hankel Transforms
The disc multiplier may be seen as a vector valued operator when we consider its projections in terms of the spherical harmonics. In this form, it represents a vector valued Hankel transform. We know that, for radial functions, it is bounded on the spaces Lplq (r n−1 dr) when 2n n+1 < p, q < 2n n−1 . Here we prove that there exist weak-type estimates for this operator for the extremal exponents...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1965
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1965-11303-9