Wavelets in Electromagnetics and Device Modeling
Chapter One
Notations and
Mathematical Preliminaries
1.1 NOTATIONS AND ABBREVIATIONS
The notations and abbreviations used in the book are summarized here for ease of
reference.
[D.sup.[alpha]] f = [f.sup.[alpha]](t) : = [d]f.sup.[alpha]]
(t)/[d][t.sup.[alpha]]
f-complex conjurate of f
f : = [[integral].sup.[infinity].sub.-[infinity]] f (t) [e.sup.-
i]omega]t] dt, Fourier transform of f (t)
f (t) := 1/2[pi] [[integral].sup.[infinity].sub.-[infinity]] f ([omega])
[e.sup.i]omega]t] d [omega], inverse Fourier transform of f ([omega])
[parallel] f [parallel] - norm of a function
f * g-convolution
(f,h) := [integral] f(t)h(t)dt, inner product
[f.sub.n] = O (n)-order of n, ... read full excerpt from Wavelets in Electromagnetics and Device Modeling ebook
