A. Großmann

Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape

An arbitrary square integrable real-valued function (or, equivalently, the associated Hardy function) can be conveniently analyzed into a suitable family of square integrable wa...

Cycle-octave and related transforms in seismic signal analysis

Painless nonorthogonal expansions

In a Hilbert space ℋ, discrete families of vectors {hj} with the property that f=∑j〈hj‖ f〉hj for every f in ℋ are considered. This expansion formula is obviously true if the fam...

Transforms associated to square integrable group representations. I. General results

Let G be a locally compact group, which need not be unimodular. Let x→U(x) (x∈G) be an irreducible unitary representation of G in a Hilbert space ℋ(U). Assume that U is square i...