Measuring the galaxy power spectrum and scale-scale correlations with multiresolution-decomposed covariance. I. Method

Astrophysical Journal

Volumn 539, Issue 1 PART 1, 2000, Pages 5-19

  Fang, Li Zhi ^a   Feng, Long Long ^b,c  

^a UNIVERSITY OF ARIZONA   (United States)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^c CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Cosmology: theory; Large scale structure of universe

Indexed keywords

EID: 0034632329     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1086/309207     Document Type: Article

References (43)

1. Adler, R. J. 1981, The Geometry of Random Fields (New York: Wiley)
2. Aubry, N., Holmes, P., Lumley, J. L., & Stone, E. 1988, J. Fluid Mech., 192, 115
3. Baugh, C. M., & Efstathiou, G. 1994, MNRAS, 270, 183
4. Bi, H. G., & Davidsen, A. F. 1997, ApJ, 479, 523
5. Bi, H. G., Ge, J., & Fang, L. Z. 1995, ApJ, 452, 90
6. Cayon, L., et al. 2000, MNRAS, in press
7. Cole, S., Hatton, S., Weinberg, D. H., & Frenk, C. S. 1998, MNRAS, 300, 945
8. Cole, S., & Kaiser, N. 1988, MNRAS, 233, 637
9. Daubechies I. 1992, Ten Lectures on Wavelets (Philadelphia: SIAM)
10. Fan, Z. H., & Bardeen, J. M. 1995, Phys. Rev. D, 51, 6714
11. Fang, L. Z., Deng, Z. G., & Xia, X. Y. 1998, ApJ, 506, 53
12. Fang, L. Z., & Thews, R. 1998, Wavelets in Physics (Singapore: World Scientific)
13. Farge, M. 1992, Ann. Rev. Fluid. Mech., 24, 395
14. Farge, M., Nicholas, K., Perrier, V., & Goirand, É. 1996, Proc. IEEE, 84, 369
15. Feng, L. L., Deng, Z. G., & Fang, L. Z. 2000, ApJ, 530, 53
16. Feng, L. L., & Fang, L. Z. 2000, ApJ, 535, 519
17. Greiner, M., Lipa, P., & Carruthers, P. 1995, Phys. Rev. E, 51, 1948
18. Hamilton, A. J. S. 1998, in The Evolving Universe, ed. D. Hamilton (Dordrecht: Kluwer), 185
19. Hobson, M. P., Jones, A. W., & Lasenby, A. N. 1999, MNRAS, 309, 125
20. Hockney, R. W., & Eastwood, J. W. 1988, Computer Simulations Using Particles (New York: IOP)
21. Hoyle, F., Baugh, C. M., Shanks, T., & Ratcliffe, A. 1999, MNRAS, 309, 659
22. Ivanov, A. V., & Leonenko, N. N. 1989, Statistical Analysis of Random Fields (Dordrecht: Kluwer)
23. Jing, Y. P. 1992, Ph.D. thesis, SISSA
24. Mallat, S. G. 1989a, IEEE Trans., 11, 674
25. _. 1989b, Trans. Am. Math. Soc., 315, 69
26. _. 1989c, IEEE Trans., 37, 2091
27. _. 1999, A Wavelet Tour of Signal Processing (Boston: Academic)
28. Meiksin, A., & White, M. 1999, MNRAS, 308, 1179
29. Meneveau, C., & Sreenivasan, K. R. 1987, Phys. Rev. Lett., 59, 1424
30. Meyer, Y. 1992, Wavelets and Operators (New York: Cambridge Univ. Press)
31. Narayanan, V., & Weinberg, D. H. 1998, ApJ, 508, 440
32. Pando, J., & Fang, L. Z. 1998a, Phys. Rev. E, 57, 3593
33. _. 1998b, A&A, 340, 335
34. Pando, J., Lipa, P., Greiner, M., & Fang, L. Z. 1998a, ApJ, 496, 9
35. Pando, J., Valls-Gabaud, D., & Fang, L. Z. 1998b, Phys. Rev. Lett., 81, 4568
36. Peebles, P. J. E. 1980, The Large-Scale Structure of the Universe (Princeton: Princeton Univ. Press)
37. Percival, D. B., & Walden, A. T. 1993, Spectral Analysis for Physical Applications (Cambridge: Cambridge Univ. Press)
38. Sanz, J. L., et al. 1999, MNRAS, 309, 672
39. Scoccimarro, R., Zaldarriaga, M., & Hui, L. 1999, ApJ, 527, 1
40. Tegmark, M., Hamilton, A. J. S., Strauss, M. A., Vogeley, M. S., & Szalay, A. S. 1998, ApJ, 499, 555
41. Tenorio, L., Jaffe, A. H., Hanany, S., & Lineweaver, C. H. 1999, MNRAS, 310, 823
42. Weinberg, D. H. 1992, MNRAS, 254, 315
43. Xu, W., Fang, L. Z., & Wu, X. P. 2000, ApJ, 532, 728