UNCERTAINTY OF POISSON WAVELETS

Author:

IGLEWSKA-NOWAK Ilona1

Affiliation:

1. West Pomeranian University of Technology in Szczecin School of Mathematics

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Reference14 articles.

1. [1] A. Chambodut, I. Panet, M. Mandea, M. Diament, M. Holschneider and O. Jamet. Wavelet frames: an alternative to spherical harmonic representation of potential fields. Geophys. J. Int. 163 (2005), 875-899.

2. [2] N. Laín Fernández and J. Prestin. Localization of the spherical Gauss-Weierstrass kernel. Constructive Theory of Functions. DARBA, Sofia, 2003, pp. 267-274.

3. [3] W. Freeden, T. Gervens and M. Schreiner. Constructive Approximation on the Sphere. With Applications to Geomathematics (Numerical Mathematics and Scientific Computation). The Clarendon Press, Oxford University Press, New York, 1998.

4. [4] W. Freeden and V. Michel. Constructive approximation and numerical methods in geodetic research today - an attempt at a categorization based on an uncertainty principle. J. Geodesy 73 (1999), 452-465.

5. [5] W. Freeden and U. Windheuser. Combined spherical harmonic and wavelet expansion - a future concept in Earth's gravitational determination. Appl. Comput. Harmon. Anal. 4(1) (1997), 1-37.

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1. Spin weighted wavelets on the sphere—Frames;Journal of Computational and Applied Mathematics;2022-06

2. On the uncertainty product of spherical functions;Applied and Computational Harmonic Analysis;2021-01

3. Uncertainty product of the spherical Gauss–Weierstrass wavelet;International Journal of Wavelets, Multiresolution and Information Processing;2018-07

4. ON THE UNCERTAINTY PRODUCT OF SPHERICAL WAVELETS;Kyushu Journal of Mathematics;2017

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