Wavelets: Theory and Applications

Notation

ℕ, ℕ0	the set of natural numbers, ℕ0 = ℕ ⋃ {0}
ℤ	the set of integers
ℝ	the set of real numbers
ℝ>0, ℝ≥0	ℝ>0 = ]0, ∞[, ℝ≥0 = [0, ∞[
ℂ	the set of complex numbers
	Lp(ℝ) = {ƒ : ℝ → ℂ| ∫ℝ |ƒ(x)|pdx < ∞}
L∞(ℝ)	the Banach space of essentially bounded functions
	the space of k times continuously differentiable functions on ℝ
	the space of k times continuously differentiable functions on ℝ with compact support
	the space of functions ƒ ∈ with ƒ(k) ∈ , 0 < α < 1, i.e.
	the space of infinitely differentiable functions with compact support
	the space of infinitely differentiable functions ...