Index
a-singularity 3, 41 Wavelet transform 6, 60, 61
Bernstein Inequalities 10, 27 Weierstrass functions 1, 104
Besov Spaces 6, 32, 34, 45 Zygmund Class 25, 48, 53
Boundary 4, 30, 39, 40
Bounded variations 4, 43
Box dimension 38
Calderon-Zygmund operators 22
Cantor set 47, 51
Characteristic function 39, 40
Chirp 5, 57, 64, 68
Continuous wavelet transform 60
Differentiability 8, 21, 53, 55
Elliptic operators 24
Fractional Integration 15
Hausdorff dimension 3, 33, 34, 41, 45, 50
Hilbert Transform 2, 15, 22
Holder exponent 1, 18
Indefinitely oscillating functions 4, 57, 58
Jacobi Theta function 97
Lacunary Fourier series 13, 48, 53
Logarithmic chirp 6, 89, 92, 102, 103
Littlewood-Paley decomposition 8, 9, 60
Modulus of continuity 8, 9, 12, 18, 31, 48, 50
Multifractal functions 2, 105
Packing dimension 3, 5, 37, 38, 41
Pointwise Holder regularity 18
Pseudodifferential operators 16, 22, 24
Riemann function 1, 6, 96
Selfsimilar function 6, 90, 103
Sobolev Spaces 1, 4, 30, 31, 34, 38, 41, 44
Strong a-singularity 3, 38, 41
Trace function 4, 44, 45
Trigonometric chirp 5, 72, 73, 74, 96, 99
Two-microlocal spaces 2, 14, 19, 23, 25, 28, 62
Wavelet basis 18, 26, 45
Wavelet series 45, 52, 53
109
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