Real Analysis with an Introduction to Wavelets and Applications

Real Analysis with an Introduction to Wavelets and Applications

Volumn , Issue , 2005, Pages

  Hong, Don ^a   Wang, Jianzhong ^b   Gardner, Robert ^a  

^a EAST TENNESSEE STATE UNIVERSITY   (United States)

^b SAM HOUSTON STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85013908299     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-0-12-354861-0.X5000-3     Document Type: Book

References (45)

1. Blatter C. Wavelets, A Primer 1998, A. K. Peters.
2. Butzer P.L., Nessel R.J. Fourier Analysis and Approximation 1971, Vol. 1. Birkhäuser.
3. Chui C.K. Multivariate Splines 1988, SIAM, Natick, MA.
4. Chui C.K. An Introduction to Wavelets 1992, Academic Press, Philadelphia.
5. Wavelets: A Tutorial in Theory and Applications 1992, Academic Press, San Diego. C.K. Chui (Ed.).
6. Daubechies I. Ten Lectures on Wavelets 1992, SIAM Publications, New York.
7. Debnath L., Minkusiński P. Introduction to Hilbert Spaces with Applications 1998, Academic Press. 2nd Ed.
8. de Boor C. A Practical Guide to Splines 1978, Springer-Verlag, San Diego.
9. Halmos P.R. Measure Theory 1974, reprint, Springer-Verlag.
10. Hernández E., Weiss G. A First Course on Wavelets 1996, CRC Press, New York.
11. Hewitt E., Stromberg K. Real and Abstract Analysis 1969, Springer-Verlag, New York.
12. Hubbard B.B. The World According to Wavelets 1996, A. K. Peter.
13. Hrbacek K., Jeck T. Introduction to Set Theory 1984, Marcel Dekker, Wellesley, MA. 2nd Ed.
14. Kelley J.L. General Topology 1975, reprint, Springer-Verlag, New York.
15. Kaplansky I. Set Theory and Metric Spaces 1977, Chelsea Publishing, New York. 2nd Ed.
16. Kirkwood J.R. An Introduction to Analysis 1995, PWS Publishing Co., New York. 2nd Ed.
17. Lang S. Introduction to Linear Algebra 1986, Springer-Verlag, Boston. 2nd Ed.
18. Mallat S. A Wavelet Tour of Signal Processing 1998, Academic Press, New York.
19. Mcdonald J.N., Weiss N. A Course in Real Analysis 1999, Academic Press, San Diego.
20. Meyer Y. Ondelettes et Opérateurs I: Ondelettes 1990, Hermann, San Diego.
21. Meyer Y. Wavelets: Algorithms and Applications 1993, Translated and revised by R.D. Ryan., SIAM, Paris.
22. Pollard D. A User's Guide to Measure Theoretic Probability 2002, Cambridge University Press.
23. Royden H.L Real Analysis 1988, Prentice-Hall, Cambridge, UK. 3rd Ed.
24. Reed M., Simon B. Methods of Mathematical Physics I: Functional Analysis 1980, Academic Press, Englewood Cliffs, NJ. revised and enlarged edition.
25. Rudin W. Principles of Mathematical Analysis 1976, McGraw-Hill, San Diego. 3rd Ed.
26. Rudin W. Real and Complex Analysis 1987, McGraw-Hill, New York. 3rd Ed.
27. Schoenberg I.J Cardinal Spline Interpolation 1973, SIAM, New York.
28. Strang G., Nguyen T. Wavelets and Filter Banks 1996, Wellesley-Cambridge Press, Philadelphia.
29. Swartz C. An Introduction to Functional Analysis 1992, Marcel Dekker.
30. Taylor A.E. General Theory of Functions and Integration 1965, Blaisdell Publishing Co., New York.
31. Vaidyanathan P.P. Multirate Systems and Filter Banks 1993, Prentice-Hall, Waltham, MA.
32. Wickerhauser M.V. Adapted Wavelet Analysis from Theory to Software 1994, A.K. Peters, Englewood Cliffs, NJ.
33. Young R.M. An Introduction to Nonharmonic Fourier Series 2001, Academic Press. revised edition.
34. Battle G.A. A block spin construction of ondelettes, Part I: Lemarié functions. Comm. Math. Phys. 1987, 110:601-615.
35. Battle G.A. Wavelets of Federbush-Lemarié type. J. Math. Phys. 1993, 34:1095-2002.
36. Beylkin G., Coinfman R.R., Rokhlin V. Fast wavelet transforms and numerical algorithms I. Comm. Pure Appl. Math. 1991, 44:141-183.
37. Chui C.K., Wang J.Z. On compactly supported spline wavelets and a duality principle. Trans. Amer. Math. Soc. 1992, 330:903-916.
38. Chui C.K., Wang J.Z. High order orthonormal scaling functions and wavelets give poor time-frequency location. Fourier Anal. Appl. 1996, 2:415-426.
39. Chui C.K., Wang J.Z. A study of asymptotically optimal time-frequency windows of scaling function and wavelets. Ann. Num. Math. 1997, 4:193-216.
40. Cohen A., Daubechies I., Feauveau J.C. Biorthogonal basis of compactly supported wavelets. Comm. Pure Appl. Math. 1992, 45:485-560.
41. Durand A. On Mahler's measure of a polynomial. Proc. Am. Math. Soc. 1981, 83:67-75. (1).
42. Jia R.Q., Wang J.Z. Stability and linear independence associated with wavelet decompositions. Proc. Am. Math. Soc. 1993, 117:1115-1124.
43. Lemarié P.G. Ondelettes á localisation exponentielles. J. Math. Pure Appl. 1988, 67:227-236.
44. Lemarié P.G. Fonctions a support compact dans les analysis multi-resolutions. Rev. Math. Iberoamericana 1991, 7:157-182.
45. 2(ℝ). Trans. Am. Math. Soc. 1989, 315:69-87.