-
3
-
-
1242294322
-
Wavelets on the sphere: implementation and approximations
-
Antoine, J.-P., Demanet, L., Jacques, L., Vandergheynst, P.: Wavelets on the sphere: implementation and approximations. Appl. Comput. Harmon. Anal. 13, 177-200 (2002).
-
(2002)
Appl. Comput. Harmon. Anal.
, vol.13
, pp. 177-200
-
-
Antoine, J.-P.1
Demanet, L.2
Jacques, L.3
Vandergheynst, P.4
-
4
-
-
35548953630
-
On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups
-
Baldi, P., Marinucci, D., Varadarajan, V. S.: On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups. Electron. Commun. Probab., 291-302 (2007).
-
(2007)
Electron. Commun. Probab
, pp. 291-302
-
-
Baldi, P.1
Marinucci, D.2
Varadarajan, V.S.3
-
5
-
-
67549149713
-
Asymptotics for spherical needlets
-
arxiv:math/0606599
-
Baldi, P., Kerkyacharian, G., Marinucci, D., Picard, D.: Asymptotics for spherical needlets. Ann. Stat. 37, 1150-1171 (2009). arxiv: math/0606599.
-
(2009)
Ann. Stat.
, vol.37
, pp. 1150-1171
-
-
Baldi, P.1
Kerkyacharian, G.2
Marinucci, D.3
Picard, D.4
-
6
-
-
69749121916
-
Subsampling needlet coefficients on the sphere
-
arxiv:0706.4169
-
Baldi, P., Kerkyacharian, G., Marinucci, D., Picard, D.: Subsampling needlet coefficients on the sphere. Bernoulli 15, 438-463 (2009). arxiv: 0706. 4169.
-
(2009)
Bernoulli
, vol.15
, pp. 438-463
-
-
Baldi, P.1
Kerkyacharian, G.2
Marinucci, D.3
Picard, D.4
-
8
-
-
2342445589
-
Search for non-Gaussianity in pixel, harmonic, and wavelet space: compared and combined
-
063007
-
Cabella, P., Hansen, F. K., Marinucci, D., Pagano, D., Vittorio, N.: Search for non-Gaussianity in pixel, harmonic, and wavelet space: compared and combined. Phys. Rev. D 69, 063007 (2004).
-
(2004)
Phys. Rev. D
, vol.69
-
-
Cabella, P.1
Hansen, F.K.2
Marinucci, D.3
Pagano, D.4
Vittorio, N.5
-
9
-
-
33846851499
-
The non-Gaussian cold spot in the 3-year WMAP data
-
Cruz, M., Cayon, L., Martinez-Gonzalez, E., Vielva, P., Jin, J.: The non-Gaussian cold spot in the 3-year WMAP data. Astrophys. J. 655, 11-20 (2007).
-
(2007)
Astrophys. J.
, vol.655
, pp. 11-20
-
-
Cruz, M.1
Cayon, L.2
Martinez-Gonzalez, E.3
Vielva, P.4
Jin, J.5
-
10
-
-
36749113413
-
Complex line bundles in relativity
-
Curtis, W. D., Lerner, D. E.: Complex line bundles in relativity. J. Math. Phys 19, 874-877 (1978).
-
(1978)
J. Math. Phys
, vol.19
, pp. 874-877
-
-
Curtis, W.D.1
Lerner, D.E.2
-
12
-
-
59049102399
-
A full sky, low foreground, high resolution CMB map from WMAP
-
arxiv:0807.0773
-
Delabrouille, J., Cardoso, J.-F., Le Jeune, M., Betoule, M., Fay, G., Guilloux, F.: A full sky, low foreground, high resolution CMB map from WMAP. Astron. Astrophys. 493, 835-857 (2009). arxiv: 0807. 0773.
-
(2009)
Astron. Astrophys.
, vol.493
, pp. 835-857
-
-
Delabrouille, J.1
Cardoso, J.-F.2
Le Jeune, M.3
Betoule, M.4
Fay, G.5
Guilloux, F.6
-
14
-
-
84974489569
-
Edth-a differential operator on the sphere
-
Eastwood, M., Tod, P.: Edth-a differential operator on the sphere. Math. Proc. Camb. Philos. Soc. 92, 317-330 (1982).
-
(1982)
Math. Proc. Camb. Philos. Soc.
, vol.92
, pp. 317-330
-
-
Eastwood, M.1
Tod, P.2
-
16
-
-
55849145138
-
CMB power spectrum estimation using wavelets
-
083013arxiv:0807.1113
-
Fay, G., Guilloux, F., Betoule, M., Cardoso, J.-F., Delabrouille, J., Le Jeune, M.: CMB power spectrum estimation using wavelets. Phys. Rev. D 78, 083013 (2008). arxiv: 0807. 1113.
-
(2008)
Phys. Rev. D
, vol.78
-
-
Fay, G.1
Guilloux, F.2
Betoule, M.3
Cardoso, J.-F.4
Delabrouille, J.5
Le Jeune, M.6
-
17
-
-
33750529751
-
Continuous wavelets and frames on stratified Lie groups I
-
Geller, D., Mayeli, A.: Continuous wavelets and frames on stratified Lie groups I. J. Fourier Anal. Appl. 12, 543-579 (2006).
-
(2006)
J. Fourier Anal. Appl.
, vol.12
, pp. 543-579
-
-
Geller, D.1
Mayeli, A.2
-
18
-
-
67651027819
-
Continuous wavelets on compact manifolds
-
Geller, D., Mayeli, A.: Continuous wavelets on compact manifolds. Math. Z. 262, 895-927 (2009).
-
(2009)
Math. Z.
, vol.262
, pp. 895-927
-
-
Geller, D.1
Mayeli, A.2
-
19
-
-
70350031743
-
Nearly tight frames and space-frequency analysis on compact manifolds
-
Geller, D., Mayeli, A.: Nearly tight frames and space-frequency analysis on compact manifolds. Math. Z. 263, 235-264 (2009).
-
(2009)
Math. Z.
, vol.263
, pp. 235-264
-
-
Geller, D.1
Mayeli, A.2
-
20
-
-
75949118709
-
Besov spaces and frames on compact manifolds
-
Geller, D., Mayeli, A.: Besov spaces and frames on compact manifolds. Indiana Univ. Math. J. (2009). www. iumj. indiana. edu/IUMJ/Preprints/3741. pdf.
-
(2009)
Indiana Univ. Math. J.
-
-
Geller, D.1
Mayeli, A.2
-
21
-
-
84871206349
-
Nearly tight frames for spin wavelets on the sphere
-
(to appear). arXiv: 0907. 3164
-
Geller, D., Mayeli, A.: Nearly tight frames for spin wavelets on the sphere. Sampl. Theory Signal Image Process. (to appear). arXiv: 0907. 3164.
-
Sampl. Theory Signal Image Process
-
-
Geller, D.1
Mayeli, A.2
-
22
-
-
58649086275
-
Spin needlets for cosmic microwave background polarization data analysis
-
123533
-
Geller, D., Hansen, F. K., Marinucci, D., Kerkyacharian, G., Picard, D.: Spin needlets for cosmic microwave background polarization data analysis. Phys. Rev. D 78, 123533 (2008).
-
(2008)
Phys. Rev. D
, vol.78
-
-
Geller, D.1
Hansen, F.K.2
Marinucci, D.3
Kerkyacharian, G.4
Picard, D.5
-
23
-
-
78149409538
-
Spin needlets spectral estimation
-
arXiv:0907.3369
-
Geller, D., Lan, X., Marinucci, D.: Spin needlets spectral estimation. Electron. J. Stat. 3, 1497-1530 (2009). arXiv: 0907. 3369.
-
(2009)
Electron. J. Stat.
, vol.3
, pp. 1497-1530
-
-
Geller, D.1
Lan, X.2
Marinucci, D.3
-
24
-
-
9444252737
-
Spin-s spherical harmonics and ∂
-
Goldberg, J. N., Macfarlane, A. J., Newman, E. T., Rohrlich, F., Sudarshan, E. C. G.: Spin-s spherical harmonics and ∂. J. Math. Phys. 8, 2155-2161 (1967).
-
(1967)
J. Math. Phys.
, vol.8
, pp. 2155-2161
-
-
Goldberg, J.N.1
Macfarlane, A.J.2
Newman, E.T.3
Rohrlich, F.4
Sudarshan, E.C.G.5
-
25
-
-
33750568413
-
Foreground subtraction of cosmic microwave background maps using WI-FIT (Wavelet based high resolution fitting of internal templates)
-
Gorski, K. M., Lilje, P. B.: Foreground subtraction of cosmic microwave background maps using WI-FIT (Wavelet based high resolution fitting of internal templates). Astrophys. J. 648, 784-796 (2006).
-
(2006)
Astrophys. J.
, vol.648
, pp. 784-796
-
-
Gorski, K.M.1
Lilje, P.B.2
-
26
-
-
59649084945
-
Practical wavelet design on the sphere
-
arxiv:0706.2598
-
Guilloux, F., Fay, G., Cardoso, J.-F.: Practical wavelet design on the sphere. Appl. Comput. Harmon. Anal. 26, 143-160 (2009). arxiv: 0706. 2598.
-
(2009)
Appl. Comput. Harmon. Anal.
, vol.26
, pp. 143-160
-
-
Guilloux, F.1
Fay, G.2
Cardoso, J.-F.3
-
27
-
-
64149129286
-
Five-year Wilkinson microwave anisotropy probe (WMAP) observations: data processing, sky maps, and basic results
-
arXiv:0803.0732
-
Hinshaw, G., Weiland, J. L., Hill, R. S., Odegard, N., Larson, D., Bennett, C. L., Dunkley, J., Gold, B., Greason, M. R., Jarosik, N., Komatsu, E., Nolta, M. R., Page, L., Spergel, D. N., Wollack, E., Halpern, M., Kogut, A., Limon, M., Meyer, S. S., Tucker, G. S., Wright, E. L.: Five-year Wilkinson microwave anisotropy probe (WMAP) observations: data processing, sky maps, and basic results. Astrophys. J. Suppl. 180(2), 225-245 (2009). arXiv: 0803. 0732.
-
(2009)
Astrophys. J. Suppl.
, vol.180
, Issue.2
, pp. 225-245
-
-
Hinshaw, G.1
Weiland, J.L.2
Hill, R.S.3
Odegard, N.4
Larson, D.5
Bennett, C.L.6
Dunkley, J.7
Gold, B.8
Greason, M.R.9
Jarosik, N.10
Komatsu, E.11
Nolta, M.R.12
Page, L.13
Spergel, D.N.14
Wollack, E.15
Halpern, M.16
Kogut, A.17
Limon, M.18
Meyer, S.S.19
Tucker, G.S.20
Wright, E.L.21
more..
-
29
-
-
0000488215
-
Statistics of cosmic microwave background polarization
-
Kamionkowski, M., Kosowsky, A., Stebbins, A.: Statistics of cosmic microwave background polarization. Phys. Rev. D 55(12), 7368-7388 (1997).
-
(1997)
Phys. Rev. D
, vol.55
, Issue.12
, pp. 7368-7388
-
-
Kamionkowski, M.1
Kosowsky, A.2
Stebbins, A.3
-
31
-
-
69749091225
-
On the dependence structure of wavelet coefficients for spherical random fields
-
arxiv:0805.4154
-
Lan, X., Marinucci, D.: On the dependence structure of wavelet coefficients for spherical random fields. Stoch. Process. Appl. 119, 3479-3766 (2009). arxiv: 0805. 4154.
-
(2009)
Stoch. Process. Appl.
, vol.119
, pp. 3479-3766
-
-
Lan, X.1
Marinucci, D.2
-
32
-
-
55849114013
-
Polarization maps at CMB frequencies from Planck
-
On Behalf of The Planck Collaboration
-
Laureijs, R. J. (On Behalf of The Planck Collaboration): Polarization maps at CMB frequencies from Planck. EAS Publ. Ser. 23, 247-254 (2007).
-
(2007)
EAS Publ. Ser.
, vol.23
, pp. 247-254
-
-
Laureijs, R.J.1
-
33
-
-
33744796252
-
High-resolution asymptotics for the angular bispectrum of spherical random fields
-
Marinucci, D.: High-resolution asymptotics for the angular bispectrum of spherical random fields. Ann. Stat. 34, 1-41 (2006).
-
(2006)
Ann. Stat.
, vol.34
, pp. 1-41
-
-
Marinucci, D.1
-
34
-
-
37849016382
-
Spherical needlets for CMB data analysis
-
Marinucci, D., Pietrobon, D., Balbi, A., Baldi, P., Cabella, P., Kerkyacharian, G., Natoli, P., Picard, D., Vittorio, N.: Spherical needlets for CMB data analysis. Mon. Not. R. Astron. Soc. 383, 539-545 (2008).
-
(2008)
Mon. Not. R. Astron. Soc.
, vol.383
, pp. 539-545
-
-
Marinucci, D.1
Pietrobon, D.2
Balbi, A.3
Baldi, P.4
Cabella, P.5
Kerkyacharian, G.6
Natoli, P.7
Picard, D.8
Vittorio, N.9
-
35
-
-
70350705848
-
Asymptotic uncorrelation for Mexican needlets
-
doi:10.1016/j.jmaa.2009.07.044
-
Mayeli, A.: Asymptotic uncorrelation for Mexican needlets. J. Math. Anal. Appl. (2009). doi: 10. 1016/j. jmaa. 2009. 07. 044.
-
(2009)
J. Math. Anal. Appl.
-
-
Mayeli, A.1
-
36
-
-
33846949099
-
A high-significance detection of non-Gaussianity in the WMAP 3-year data using directional spherical wavelets
-
McEwen, J. D., Hobson, M. P., Lasenby, A. N., Mortlock, D. J.: A high-significance detection of non-Gaussianity in the WMAP 3-year data using directional spherical wavelets. Mon. Not. R. Astron. Soc. 371(123002), L50-L54 (2006).
-
(2006)
Mon. Not. R. Astron. Soc.
, vol.371
, pp. 50-54
-
-
McEwen, J.D.1
Hobson, M.P.2
Lasenby, A.N.3
Mortlock, D.J.4
-
37
-
-
34147115569
-
Detection of the integrated Sachs-Wolfe effect and corresponding dark energy constraints made with directional spherical wavelets
-
McEwen, J. D., Vielva, P., Hobson, M. P., Martinez-Gonzalez, E., Lasenby, A. N.: Detection of the integrated Sachs-Wolfe effect and corresponding dark energy constraints made with directional spherical wavelets. Mon. Not. R. Astron. Soc. 376(3), 1211-1226 (2007).
-
(2007)
Mon. Not. R. Astron. Soc.
, vol.376
, Issue.3
, pp. 1211-1226
-
-
McEwen, J.D.1
Vielva, P.2
Hobson, M.P.3
Martinez-Gonzalez, E.4
Lasenby, A.N.5
-
38
-
-
33947259969
-
Localized tight frames on spheres
-
Narcowich, F. J., Petrushev, P., Ward, J.: Localized tight frames on spheres. SIAM J. Math. Anal. 38, 574-594 (2006).
-
(2006)
SIAM J. Math. Anal.
, vol.38
, pp. 574-594
-
-
Narcowich, F.J.1
Petrushev, P.2
Ward, J.3
-
39
-
-
33746265509
-
Decomposition of Besov and Triebel-Lizorkin spaces on the sphere
-
Narcowich, F. J., Petrushev, P., Ward, J.: Decomposition of Besov and Triebel-Lizorkin spaces on the sphere. J. Funct. Anal. 238, 530-564 (2006).
-
(2006)
J. Funct. Anal.
, vol.238
, pp. 530-564
-
-
Narcowich, F.J.1
Petrushev, P.2
Ward, J.3
-
40
-
-
0012433760
-
Notes on the Bondi-Metzner-Sachs group
-
Newman, E. T., Penrose, R.: Notes on the Bondi-Metzner-Sachs group. J. Math. Phys. 7, 863-870 (1966).
-
(1966)
J. Math. Phys.
, vol.7
, pp. 863-870
-
-
Newman, E.T.1
Penrose, R.2
-
42
-
-
33747617102
-
Integrated Sachs-Wolfe effect from the cross correlation of WMAP3 year and the NRAO VLA sky survey data: new results and constraints on dark energy
-
043524
-
Pietrobon, D., Balbi, A., Marinucci, D.: Integrated Sachs-Wolfe 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, 043524 (2006).
-
(2006)
Phys. Rev. D
, vol.74
-
-
Pietrobon, D.1
Balbi, A.2
Marinucci, D.3
-
43
-
-
56349159304
-
Needlet detection of features in WMAP CMB sky and the impact on anisotropies and hemispherical asymmetries
-
103504arXiv:0809.0010
-
Pietrobon, D., Amblard, A., Balbi, A., Cabella, P., Cooray, A., Marinucci, D.: Needlet detection of features in WMAP CMB sky and the impact on anisotropies and hemispherical asymmetries. Phys. Rev. D 78, 103504 (2008). arXiv: 0809. 0010.
-
(2008)
Phys. Rev. D
, vol.78
-
-
Pietrobon, D.1
Amblard, A.2
Balbi, A.3
Cabella, P.4
Cooray, A.5
Marinucci, D.6
-
44
-
-
62349089886
-
Inference for eigenvalues and eigenvectors of Gaussian symmetric matrices
-
Schwartzman, A., Mascarenhas, W., Taylor, J.: Inference for eigenvalues and eigenvectors of Gaussian symmetric matrices. Ann. Stat. 36, 2886-2919 (2008).
-
(2008)
Ann. Stat.
, vol.36
, pp. 2886-2919
-
-
Schwartzman, A.1
Mascarenhas, W.2
Taylor, J.3
-
46
-
-
3843101473
-
Detection of non-Gaussianity in the WMAP first year data using spherical wavelets
-
Vielva, P., Martinez-Gonzalez, E., Barreiro, B., Sanz, J., Cayon, L.: Detection of non-Gaussianity in the WMAP first year data using spherical wavelets. Astrophys. J. 609, 22-34 (2004).
-
(2004)
Astrophys. J.
, vol.609
, pp. 22-34
-
-
Vielva, P.1
Martinez-Gonzalez, E.2
Barreiro, B.3
Sanz, J.4
Cayon, L.5
-
48
-
-
34547530117
-
Complex data processing: fast wavelet analysis on the sphere
-
Wiaux, Y., McEwen, J. D., Vielva, P.: Complex data processing: fast wavelet analysis on the sphere. J. Fourier Anal. Appl. 13, 477-494 (2007).
-
(2007)
J. Fourier Anal. Appl.
, vol.13
, pp. 477-494
-
-
Wiaux, Y.1
McEwen, J.D.2
Vielva, P.3
-
49
-
-
47649097318
-
Exact reconstruction with directional wavelets on the sphere
-
Wiaux, I., McEwen, J. D., Vandergheynst, P., Blanc, O.: Exact reconstruction with directional wavelets on the sphere. Mon. Not. R. Astron. Soc. 388(2), 770-788 (2008).
-
(2008)
Mon. Not. R. Astron. Soc.
, vol.388
, Issue.2
, pp. 770-788
-
-
Wiaux, I.1
McEwen, J.D.2
Vandergheynst, P.3
Blanc, O.4
-
50
-
-
78549272774
-
All-sky analysis of polarization in the microwave background
-
Zaldarriaga, M., Seliak, U.: All-sky analysis of polarization in the microwave background. Phys. Rev. D 33, 1831-1840 (1999).
-
(1999)
Phys. Rev. D
, vol.33
, pp. 1831-1840
-
-
Zaldarriaga, M.1
Seliak, U.2
|