Wavelets through a Looking Glass.
The World of the Spectrum.
by
Ola Bratteli
and
Palle E.T.Jorgensen
Birkhauser, July 2002.
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Front page, opening pages, table of contents and introduction, (1 Megabyte)
Chapter 1 without the exercises. (11 Megabytes)
A two-parameter family of compactly supported wavelets. Details on how this family is obtained can be found in the sections 1.2 and 3.3 of the book.
These and these problems were provided by Palle Jorgensen, and you may find even more on his home page.
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p.11, line before (1.31): Replace "4D + 1" by "4D"
p.12, add line after (1.35): If F(f) = F(f(x)) denotes the Fourier transform of f, then the Fourier transform of translations and scalings of f is given by F(f(ax-b)) = e^{-itb/a}F(f(x))(t/a)/a
p.36, in the phrase "---entries of the big combined matrix U_A---" the "U" should be italic, as it is on page 37.
p. 37, line 6: period missing at end of sentence.
p.43, line 6. add: ---O(|t|^epsilon) as $t\to 0$ and ----- as $t\to\infinity$
p.55, first line: The right l^2 should be replaced by L^{2}(R)
p. 55, line 10: strike period, as sentence continues.
p. 73, Exercise 1-46 : The first interval in the definition of the set E is [-2Pi,-Pi>
p. 73, Exercise 1-46 : Change the parenthetical remark at the end of (e) to : (The wavelet defined by F is called the HervŽ wavelet. In solving this problem it is useful to use (2.3.2) - (2.3.6) in Section 2.3.)
p.80, last line: Replace "Corollary 2.4.11" by "Corollary 2.4.12 and in (6.4.36)"
p.94, add line after (2.2.27): for i = 1,...,N-1, j= 1,2,3,..., n in Z.
p.97, new line after (2.2.46): where f_{/fi} is defined by (2.2.26).
p.98, last line, and p99, first line: J and -J should be a superindex of U rather than a subindex (4 + 3 occurences)
p. 141, next last line of 2-18: replace 1 by z under the summation sign.
p.145, figure in (b): The eight symbols S here should be equipped with a hat as on p.56.
Last updated: March 9, 2004
