Poisson wavelets on the sphere

Journal of Fourier Analysis and Applications

Volumn 13, Issue 4, 2007, Pages 405-419

  Holschneider, M ^a   Iglewska Nowak, I ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

Author keywords

Frames; Poisson multipole wavelets

Indexed keywords

EID: 34547542497     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-006-6909-9     Document Type: Conference Paper

References (13)

1. Antoine, J.-P., Demanet, L., Jacques, L., and Vandergheynst, P. (2002). Wavelets on the sphere: Implementations and approximations, Appl. Comput. Harmon. Anal. 13, 177-200.
2. Antoine, J.-P. and Vandergheynst, P. (1999). Wavelets on the 2 sphere: A group-theoretic approach, Appl. Comp. Harmon. Anal. 7, 1-30.
3. Axler, Sh., Bourdon, P., and Ramey, W. (1992). Harmonic Function Theory, Graduate Texts in Mathematics, Springer-Verlag, New York, Berlin.
4. Chambodut, A., Mandea, M., and Holschneider, M. (2003). Modelling the Earth's magnetic field: Wavelet based and standard methods, in First CHAMP Mission Results for Gravity, Magnetic and Atmospheric Studies, Reigber, C., Lühr, H., and Schwintzer, P., Eds., 233-238, Springer-Verlag, Berlin, Heidelberg.
5. Chambodut, A., Panet, I., Mandea, M., Diament, M., Holschneider, M., and Jamet, O. (2005). Wavelet frames: An alternative to spherical harmonic representation of potential fields, Geophys. J. Int. 163(3), 875-899.
6. Dahlke, S. and Maass, R (1996). Continuous wavelet transforms with applications to analyzing functions on spheres, J. Fourier Anal. Appl. 2(4), 379-396.
7. Freeden, W., Gervens, T., and Schreiner, M. (1998). Constructive Approximation on the Sphere (With Applications to Geomathematics), Clarendon Press, Oxford.
8. Freeden, W. and Michel, V. (2004). Multiscale Potential Theory (With Applications to Geo-Science), Birkhäuser, Boston, Basel, Berlin.
9. Holschneider, M. (1990). Wavelet analysis on the circle, J. Math. Phys. 31, 39-44.
10. Holschneider, M. (1996). Wavelet analysis on the sphere, J. Math. Phys. 37, 4156-4165.
11. Holschneider, M., Chambodut, A., and Mandea, M. (2003). From global to regional analysis of the magnetic field on the sphere using wavelet frames, P.E.P.I 135, 107-124.
12. Panet, I., Chambodut, A., Diament, M., Holschneider, M., and Jamet, O. (2006). New insights on intraplate volcanism in French Polynesia from wavelet analysis of GRACE, CHAMP and sea-surface data, J. Geophys. Res. A 111(B9), Art. No. B09403.
13. Paul, Th. (1984). Functions analytic on the half-plane as quantum mechanical states, J. Math. Phys. 25, 3252-3263.