Errata for "An Introduction to Wavelet Analysis," by Walnut As of 2-12-03 1. p. xv, l. 7 (bottom): "orthnormal" should be "orthonormal" 2. p. xvi, l. 15 (bottom): "Clovis." should be "Clovis" 3. p. 9: All references to "Figure 1.3(x)" should simply read "Figure 1.3" This occurs on l. 12, l. 21, and l. 1(bottom). In particular, "Figures 1.3(c) and (d)" on l. 1 (bottom) should read "Figure 1.3" 4. p. 13, l. 1 (bottom), p. 14, l. 5, l. 10: "Figure 1.4(x)" should be "Figure 1.4" 5. p. 19, l. 2 (bottom): "mean" should be "mean-square" 6. p. 27, l. 10 (bottom): "n+1" should be "n-1" 7. p. 32, l. 6: "\pi" should be "\pi/2" 8. p. 32, l. 13: "(-1)^n i \pi/2n" should be "(-1)^n i/2n" 9. p. 36, equation (2.10): "n" should be "k", and "N" should be "n" 10. p. 39, equation (2.13): "k+1" should be "2k+1" 11. p. 39, l. 3 (bottom): "\sigma(n)" should be "\sigma_n" 12. p. 61, l. 2: "a,b\to 0" should be "a,b\to\infty" 13. p. 67, l. 9: "Theorem 3.21" should be "Theorem 3.20" (label for Theorem 3.20 is thm2.11B) 14. p. 70, l. 8 (bottom): "L^1$ should be "L^2" and "L^2" should be "L^1" on this line. l. 10 (bottom): The norm on f should have subscript 2 and that on g should have subscript 1. p. 71, l. 9: "L^1$ should be "L^2" and "L^2" should be "L^1" on this line. 15. p. 80, l. 7: add the words "the following hold." to this line. 16. p. 85, l. 10, l. 15: In the denominator, "\Omega" should be "\sqrt{\Omega}" 17. p. 90, l. 1 (bottom): "n\in\Z" should be "k\in\Z" 18. p. 91, l. 13: "Exercise 4.25" should be "Exercise 4.26" (label is exer3.4) 19. p. 91, l. 3 (bottom): "Definition 4.10(c)" should be "Definition 4.7(c)" (label is def3.3) 20. p. 91, l. 5 and 8 (bottom): "T" should be "T_h" 21. p. 92, l. 6: "Definition 4.10(c)" should be "Definition 4.7(c)" 22. p. 92, l. 16: "Theorem 4.12(c)" should be "Theorem 4.12" 23. p. 94, l. 10 (bottom): right paren missing 24. p. 95, l. 14: In first summation, "n" should be "k" 25. p. 95, l. 10: "n\ge n_0" should be "n\le n_0" 26. p. 96, l. 16: "a(0)\ne 0" should be "a(0)=1" l. 19: "a(0)^{-1}" should be removed 27. p. 107, l. 9: "\hat x(n)" should be "\hat x(k)" 28. p. 108, l. 10: replace "+" with "-" and remove subsequent two lines 29. p. 109, l. 19: "+N" should be added to this line 30. p. 115, l. 2, 6, 7, 9, 16: "[0,1)" should be "[0,1]" 31. p. 117: In Figure 5.1(left), lower range of y-axis should be -1, not 1 32. p. 117, l. 5 (bottom): "figure" should be "Figure" 33. p. 120, l. 14, l. 2 (bottom): "Figure 5.2(x)" should be "Figure 5.2" 34. p. 122, l. 17: "figure" should be "Figure" 35. p. 125, l. 9: "[0,1)" should be "[0,1]" 36. p. 127, l. 3: extra space in word "functions" 37. p. 128, l. 3, 6, 12: "[0,1)" should be "[0,1]" 38. p. 130, l. 3 (bottom), l. 1 (bottom), p. 132, l. 3 (bottom), l. 1 (bottom): "r_{j,k}(x)" should be "r_{j,k}" 39. p. 133, l. 8: "2^{-3j/2}" should be "2^{-j/2}" 40. p. 141, l. 18: "f" should be "P_Nf" 41. p. 142, l. 5 (bottom): no parens around "DHT" 42. p. 147, l. 14: "mulitplying" should be "multiplying" 43. p. 152, l. 2 (bottom): last "m" should be "2m" 44. p. 172, l. 1 (bottom), 2 (bottom): "n" should be "k" 45. p. 173, l. 1: "\abs{n}>K" should be "\abs{k}\le K" 46. p. 179, l. 5: "Definition 7.12(b)" should be "Definition 7.12(d)" 47. p. 184, l. 2 (bottom): "c(k)" should be "c_k" 48. p. 185, l. 6 (bottom): in subscript, "j,k\in\Z" should be "j\ge J, k\in\Z" 49. p. 186, l. 11: "as in the proof of Theorem 7.35" should be "by (7.23)" (label is 8.10.A) 50. p. 187, l. 2: second "\varphi(x)" should be "\varphi(2x)" 51. p. 187, l. 5: "\varphi(\gamma/2)" should be "\widehat{\varphi}(\gamma/2)" 52. p. 188, l. 6: "figure" should be "Figure" 53. p. 189: caption of Figure 7.4 contains extra right paren. 54. p. 191, l. 14 (bottom): in subscript, "k_{,1}" should be "k_1" 55. p. 192, l. 7 (bottom): "spacial" should be "spatial" 56. p. 212, l. 8 (bottom), 9 (bottom): "2^j" should be "2^{j+1}R" 57. p. 219, l. 10: "h_{m-2n}" should be "h(m-2n)" 58. p. 222, l. 2: subscript k should be replaced by (k) in both formulas. 59. p. 225, l. 2 (bottom): expression to right of equals sign should be multiplied by 1/2 60. p. 230, l. 6 (bottom): "Remark 8.6(5)" should be "Remark 8.6(c)" 61. p. 236, l. 4: "$h$ and $g(x)$" should be "$h(n)$ and $g(n)$" 62. p. 239, l. 8 (bottom): first "C" should be "\pi\,\sqrt{2}\,C" 63. p. 247, l. 17: in subscript "m_0" should be "M_0" 64. p. 252, l. 7, p. 253, l. 11: should be overline on "\widehat{\psi}(2^{-j}\gamma)" 65. p. 253, l. 12, 18, 19, 20, 21, 23: should be overline on "\widehat{\psi}^{(k)}(0)" 66. p. 253, l. 13: should be overline on "R_k(2^{-j}\gamma)" 67. p. 254, l. 1 (bottom), p. 255, l. 10, 11, 12: "a" should be "a^N" 68. p. 254, l. 13, 14, 15: "a^{3/2}" should be "a^{N+1/2}" 69. p. 254, l. 11: the integral on that line should be raised to the 1/2 70. p. 261, l. 16: "-2\pi i\gamma" should be "-\pi i\gamma" 71. p. 261, l. 8 (bottom): should be overline on "m'_0(1/2)" 72. p. 265, l. 19: first "N" in exponent should be "2N-1" 73. p. 270, l. 1(bottom): "75z^4" should be "150z^4" and "75z^6" should be "150z^6" 74. p. 272, l. 14 (bottom): missing right paren and "(\gamma+1/2)" should be "\gamma" 75. p. 276, l. 1 (bottom): "N" in binomial coefficient should be "N+n-1" 76. p. 277, l. 2: "1/2" should be removed and "N" in binomial coefficient should be "N+n-1" 77. p. 292, l. 4,5 (bottom): "i" and "ii" should have parentheses 78. p. 292, l. 1 (bottom): "Remark 10.5(5)" should be "Remark 10.5(e)" 79. p. 306, l. 2: first "\varphi" should be "\psi" 80. p. 306, l. 8: "\varphi" should be "\psi" 81. p. 313, l. 11, 13: should be overline on "m_0(\gamma+1/2)" 82. p. 317, l. 2: remove "\widetilde{g}(k)=(-1)^k\,\overline{h(1-k)}" 83. p. 318, l. 15: "h(k)" should be "h(n)" 84. p. 319, l. 2: "(g)" should be "(e)" 85. p. 320, l. 3 (bottom): subscript "2" should be "6" 86. p. 325, l. 12, 13: "(z^{-1}+1)" should be "(z+1)" 87. p. 326, l. 7: "1/64" should be "-5/64" 88. p. 326, l. 10: "1/64" should be "-5/64" 89. p. 326, l. 13: "-.03226944131447 n=-4,3" should be added above the top line to the right of the curly bracket 90. p. 326, l. 4 (bottom): "1/64" should be "-5/64" 91. p. 326, l. 1 (bottom): "1/64" should be "-5/64" 92. p. 327, l. 8 (bottom): "1/64" should be "-5/64" 93. p. 327, l. 5 (bottom): "1/64" should be "-5/64" 94. p. 338, equation (11.1): last "\gamma" should be "\gamma/2" 95. p. 339, equation (11.2): last "\gamma" should be "\gamma/2" 96. p. 351, l. 6 (bottom): "Theorem 11.19" should be "Definition 11.15" (label is def12.7) 97. p. 353, l. 9, 11: "I" should be "A" 98. p. 353, l. 3 (bottom): insert before "$W_{j-1,2n+1}$" "$W_{j-1,2n}$ and" 99. p. 363, l. 15, 16: in the denominators "c" should be bold font 100. p. 371, l. 12 (bottom): remove the line 101. p. 383, l. 9 (bottom): "Definition 11.5" should be "Definition 12.6" (label is def13.16) 102. p. 388, l. 7: on the left "N" should be "q" and on the right "N-2" should be "q/2" 103. p. 392: in caption to Figure 12.4, "Iage" should be "Image" 104. p. 397, l. 3: "aplication" should be "application" 105. p. 401, l. 11 (bottom): "(13.9)" should be "(13.12)" (label is 14.1.5) 106. p. 401, l. 9 (bottom): "(13.10)" should be "(13.13)" (label is 14.1.6) 107. p. 410, l. 4: initial "=" should be removed 108. p. 413, l. 2: "-2\pi" should preceed "Qf(x)" 109. p. 413, l. 8 (bottom): missing right paren. 110. p. 419, l. 8, 11: "j-1" should be "j=1" 111. p. 419, l. 3 (bottom): "R" should be "r" 112. p. 419, l. 1 (bottom): "in with" should be "with" 113. p. 437, l. 17, 19, 28: "[0,1)" should be "[0,1]"