\begin{thebibliography}{33}
\expandafter\ifx\csname natexlab\endcsname\relax\def\natexlab#1{#1}\fi
\expandafter\ifx\csname url\endcsname\relax
  \def\url#1{\texttt{#1}}\fi
\expandafter\ifx\csname urlprefix\endcsname\relax\def\urlprefix{URL }\fi

\bibitem[{Antoine and Vandergheynst(1999)}]{antoine:vandergheynst:1999}
Antoine, J.-P., Vandergheynst, P., 1999. Wavelets on the {$2$}-sphere: a
  group-theoretical approach. Appl. Comput. Harmon. Anal. 7~(3), 262--291.

\bibitem[{Baldi et~al.(2006)Baldi, Kerkyacharian, Marinucci, and
  Picard}]{baldi:etal:2006a}
Baldi, P., Kerkyacharian, G., Marinucci, D., Picard, D., 2006. Asymptotics for
  spherical needlets, on arXiv.org : math.ST/0606599.

\bibitem[{Bogdanova et~al.(2005)Bogdanova, Vandergheynst, Antoine, Jacques, and
  Morvidone}]{bogdanova_etal:2005}
Bogdanova, I., Vandergheynst, P., Antoine, J.-P., Jacques, L., Morvidone, M.,
  2005. Stereographic wavelet frames on the sphere. Appl. Comput. Harmon. Anal.
  19~(2), 223--252.

\bibitem[{Dahlke et~al.(1995)Dahlke, Dahmen, Weinreich, and
  Schmitt}]{Dahlke+95}
Dahlke, S., Dahmen, W., Weinreich, I., Schmitt, E., 1995. Multiresolution
  analysis and wavelets on {$S\sp 2$} and {$S\sp 3$}. Numer. Funct. Anal.
  Optim. 16~(1-2), 19--41.

\bibitem[{Daubechies(1992)}]{daubechies:1992}
Daubechies, I., 1992. Ten lectures on wavelets. Vol.~61 of CBMS-NSF Regional
  Conference Series in Applied Mathematics. Society for Industrial and Applied
  Mathematics (SIAM), Philadelphia, PA.

\bibitem[{Doroshkevich et~al.(2005)Doroshkevich, Naselsky, Verkhodanov,
  Novikov, Turchaninov, Novikov, Christensen, and Chiang}]{Doroshkevich+2005}
Doroshkevich, A., Naselsky, P., Verkhodanov, O., Novikov, D., Turchaninov, V.,
  Novikov, I., Christensen, P., Chiang, L., 2005. Gauss--{L}egendre {S}ky
  {P}ixelization ({GLESP}) for {CMB} maps. Int. J. of Modern Physics D 14, 275.

\bibitem[{Freeden and Windheuser(1997)}]{Freeden+97}
Freeden, W., Windheuser, U., 1997. Combined spherical harmonic and wavelet
  expansion --- {A} future concept in {E}arth's gravitational determination.
  Appl.~Comput.~Harmon.~Anal. 4, 1--37.

\bibitem[{Gonz\'alez-Nuevo et~al.(2006)Gonz\'alez-Nuevo, Arg\"ueso,
  L\'opez-Caniego, Toffolatti, Sanz, Vielva, and
  Herranz}]{gonzalez-nuevo:etal:2006}
Gonz\'alez-Nuevo, J., Arg\"ueso, F., L\'opez-Caniego, M., Toffolatti, L., Sanz,
  J., Vielva, P., Herranz, D., 2006. The {M}exican hat wavelet family:
  application to point-source detection in cosmic microwave background maps.
  Mon. Not. Roy. Astron. Soc. 369, 1603--1610.

\bibitem[{{G{\'o}rski} et~al.(2005){G{\'o}rski}, {Hivon}, {Banday}, {Wandelt},
  {Hansen}, {Reinecke}, and {Bartelmann}}]{Gorski+2005}
{G{\'o}rski}, K., {Hivon}, E., {Banday}, A., {Wandelt}, B., {Hansen}, F.,
  {Reinecke}, M., {Bartelmann}, M., Apr. 2005. {HEALPix: A Framework for
  High-Resolution Discretization and Fast Analysis of Data Distributed on the
  Sphere}. Astrophys. J. 622, 759--771.

\bibitem[{Gr{\"u}nbaum et~al.(1982)Gr{\"u}nbaum, Longhi, and
  Perlstadt}]{grunbaum:longhi:perlstadt:1982}
Gr{\"u}nbaum, F.~A., Longhi, L., Perlstadt, M., 1982. Differential operators
  commuting with finite convolution integral operators: some nonabelian
  examples. SIAM J. Appl. Math. 42~(5), 941--955.

\bibitem[{Hinshaw et~al.(2006)Hinshaw, Nolta, Bennett, Bean, Dore, Greason,
  Halpern, Hill, Jarosik, Kogut, Komatsu, Limon, Odegard, Meyer, Page, Peiris,
  Spergel, Tucker, Verde, Weiland, Wollack, and Wright}]{Hinshaw+2006}
Hinshaw, G., Nolta, M., Bennett, C., Bean, R., Dore, O., Greason, M., Halpern,
  M., Hill, R., Jarosik, N., Kogut, A., Komatsu, E., Limon, M., Odegard, N.,
  Meyer, S., Page, L., Peiris, H., Spergel, D., Tucker, G., Verde, L., Weiland,
  J., Wollack, E., Wright, E., 2006. {T}hree-{Y}ear {W}ilkinson {M}icrowave
  {A}nisotropy {P}robe ({WMAP}) {O}bservations: {T}emperature {A}nalysis. On
  arXiv.org: astro-ph/0603451.

\bibitem[{Hivon et~al.(2002)Hivon, G{\'o}rski, Netterfield, Crill, Prunet, and
  Hansen}]{Hivon+2002}
Hivon, E., G{\'o}rski, K., Netterfield, C., Crill, B., Prunet, S., Hansen, F.,
  2002. {MASTER} of the cosmic microwave background anisotropy power spectrum:
  {A} fast method for statistical analysis of large and complex cosmic
  microwave background data sets. Astrophys.~J. 567, 2--17.

\bibitem[{Holschneider et~al.(2003)Holschneider, Chambodut, and
  Mandea}]{Holschneider+2003}
Holschneider, M., Chambodut, A., Mandea, M., 2003. From global to regional
  analysis of the magnetic field on the sphere using wavelet frames. Physics of
  the Earth and Planetary Interiors 135, 107--124(18).

\bibitem[{McEwen et~al.(2007)McEwen, Vielva, Barreiro, Calyon, Hobson, Lazenby,
  Martinez-Gonzalez, and Sanz}]{McEwen+2007}
McEwen, J., Vielva, P., Barreiro, R., Calyon, L., Hobson, M., Lazenby, A.,
  Martinez-Gonzalez, E., Sanz, J., 2007. Cosmological applications of a wavelet
  analysis on the sphere. To appear.

\bibitem[{Moore and Cada(2004)}]{Moore+2004}
Moore, I., Cada, M., 2004. Prolate spheroidal wave functions, an introduction
  to the slepian series and its properties. Appl.~Comput.~Harmon.~Anal. 16,
  208--230.

\bibitem[{Narcowich et~al.(2006))Narcowich, Petrushev, and
  Ward}]{narcowich:petrushev:ward:2006}
Narcowich, F., Petrushev, P., Ward, J., 2006). Localized tight frames on
  spheres. SIAM J. Math. Anal. 38~(2), 574--594.

\bibitem[{Narcowich and Ward(1996)}]{Narcowich+96}
Narcowich, F., Ward, J., 1996. Nonstationary wavelets on the m-sphere for
  scattered data. Appl.~Comput.~Harm.~Anal. 3, 324--336.

\bibitem[{Peebles(1973)}]{Peebles:1973}
Peebles, P. J.~E., 1973. Statistical analysis of catalogs of extragalactic
  objects. {I}. {T}heory. Astrophys.~J. 185, 413--440.

\bibitem[{Pietrobon et~al.(2006)Pietrobon, Balbi, and
  Marinucci}]{pietrobon:balbi:marinucci:2006}
Pietrobon, D., Balbi, A., Marinucci, D., 2006. Integrated {S}achs-{W}olfe
  effect from the cross correlation of {WMAP3} year and the {NRAO} {VLA} sky
  survey data: New results and constraints on dark energy. Phys. Rev. D 74.

\bibitem[{Potts and Tasche(1995)}]{Potts:Tasche:95}
Potts, D., Tasche, M., 1995. Interpolatory wavelets on the sphere. In: Chui,
  C., Schumaker, L. (Eds.), Approximation Theory VIII, Vol. 2: Wavelets. World
  Scientific, pp. 335--342.

\bibitem[{Schr{\"o}der and Sweldens(1995)}]{Schroder:Sweldens:95}
Schr{\"o}der, P., Sweldens, W., 1995. Spherical wavelets: {E}fficiently
  representing functions on the sphere. Computer Graphics Proceedings (SIGGRAPH
  95) , 161--172.

\bibitem[{Simons et~al.(2006)Simons, Dahlen, and Wieczorek}]{Simons+2006}
Simons, F., Dahlen, F., Wieczorek, M., 2006. Spatiospectral concentration on a
  sphere. SIAM Rev. 48~(504).

\bibitem[{Slepian(1978)}]{Slepian+78}
Slepian, D., May-June 1978. Prolate spheroidal wave functions, {F}ourier
  analysis and uncertainty --- {V}: {T}he discrete case. Bell Syst.~Tech.~J.
  57, 1371--1429.

\bibitem[{Slepian(1983)}]{Slepian83}
Slepian, D., 1983. Some comments on {F}ourier analysis, uncertainty and
  modeling. {SIAM} {R}ev. 25~(3), 379--393.

\bibitem[{Starck et~al.(2006)Starck, Moudden, Abrial, and Nguyen}]{Starck+2006}
Starck, J.-L., Moudden, Y., Abrial, P., Nguyen, M., 2006. Wavelets, ridgelets
  and curvelets on the sphere. Astronomy \& Astrophysics 446, 1191--1204.

\bibitem[{Torresani(1995)}]{Torresani95}
Torresani, B., 1995. Position-frequency analysis for signals defined on
  spheres. Signal Process. 43~(3), 341--346.

\bibitem[{Varshalovich et~al.(1988)Varshalovich, Moskalev, and
  Khersonski{\u\i}}]{varshalovich:etal:1988}
Varshalovich, D., Moskalev, A., Khersonski{\u\i}, V., 1988. Quantum theory of
  angular momentum. World Scientific Publishing Co. Inc.

\bibitem[{Vielva et~al.(2004)Vielva, Martinez-Gonzalez, Barreiro, Sanz, and
  Cayon}]{Vielva+2004}
Vielva, P., Martinez-Gonzalez, E., Barreiro, R., Sanz, J., Cayon, L., 2004.
  Detection of non-{G}aussianity in the {WMAP} 1-year data using spherical
  wavelets. Astrophys. J. 609, 22.

\bibitem[{Walter and Shen(2003)}]{walter+2003}
Walter, G., Shen, X., Jan. 2003. Sampling with prolate spheroidal wave
  functions. Sampl. Theory Signal Image Process. 2~(1), 25--52.

\bibitem[{Walter and Shen(2004)}]{walter+2004}
Walter, G., Shen, X., 2004. Wavelets based on prolate spheroidal wave
  functions. J. Fourier Anal. Appl. 10~(1), 1--26.

\bibitem[{Walter and Soleski(2005)}]{Walter+2005}
Walter, G., Soleski, T., 2005. A new friendly method of computing prolate
  spheroidal wave functions and wavelets. Appl.~Comput.~Harmon.~Anal. 19,
  432--443.

\bibitem[{Wiaux et~al.(2005)Wiaux, Jacques, and Vandergheynst}]{Wiaux+2005}
Wiaux, Y., Jacques, L., Vandergheynst, P., 2005. Correspondence principle
  between spherical and euclidean wavelets. Astrophys. J. 632, 15.

\bibitem[{Wieczorek and Simons(2005)}]{Wieczorek+2005}
Wieczorek, M., Simons, F., 2005. Localized spectral analysis on the sphere.
  Geophys.~J.~Int. 162~(3), 655--675.

\end{thebibliography}
