𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic similarities of Fourier and Riemann coefficients

✍ Scribed by Chin-Hung Ching; Charles K Chui


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
221 KB
Volume
10
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Asymptotic expansion of Fourier coeffici
✍ M. Kzaz πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 122 KB

The aim of this paper is to give the asymptotic expansion of the coe cients in the Chebyshev series expansion of a function possessing algebraic or logarithmic interior singularities. Some numerical examples are given.

On the Riemann Summability of Fourier In
✍ Ferenc MΓ³ricz πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 213 KB πŸ‘ 2 views

We consider the Riemann means of single and multiple Fourier integrals of functions belonging to L 1 or the real Hardy spaces defined on IR n , where n β‰₯ 1 is an integer. We prove that the maximal Riemann operator is bounded both from H 1 (IR) into L 1 (IR) and from L 1 (IR) into weak -L 1 (IR). We

Large-Scale Renormalisation of Fourier T
✍ Matthias Holschneider πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 128 KB

We shall show that the oscillations observed by R. S. Strichartz in the Fourier transforms of self-similar measures have a large-scale renormalisation given by a Riesz measure. Vice versa the Riesz measure itself will be shown to be self-similar around every triadic point.

Nonnegative Fourier–Jacobi Coefficients
✍ Semyon Rafalson πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 340 KB

Fourier Jacobi series with nonnegative Fourier Jacobi coefficients are considered. Under special restrictions on the Jacobi weight function, we establish in terms of Fourier Jacobi coefficients a necessary and sufficient condition in order that the sum of the Fourier Jacobi series should possess cer