2 citations · 2 across the 3 of their papers we have counts for
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Eigenwavelets of the Wave equation
Gerald Kaiser
We study a class of localized solutions of the wave equation, called eigenwavelets, obtained by extending its fundamental solutions to complex spacetime in the sense of hyperfuncti…
Making Pulsed-Beam Wavelets
Gerald Kaiser
Point sources in complex spacetime, which generate acoustic and electromagnetic pulsed-beam wavelets, are rigorously defined and computed with a view toward their realization.
Wavelet Electrodynamics II: Atomic Composition of Electromagnetic Waves
Gerald Kaiser
The representation of solutions of Maxwell's equations as superpositions of scalar wavelets with vector coefficients developed earlier is generalized to wavelets with polarization,…
Wavelet Filtering with the Mellin Transform
Gerald Kaiser
It is shown that any convolution operator in the time domain can be represented exactly as a multiplication operator in the time-scale (wavelet) domain. The Mellin transform gives…
Windowed Radon Transforms, Analytic Signals and the Wave Equation
Gerald Kaiser, R. F. Streater
The act of measuring a physical signal or field suggests a generalization of the wavelet transform that turns out to be a windowed version of the Radon transform. A reconstruction…
Communication via Holomorphic Green Functions
Gerald Kaiser
Let G(x_r-x_e) be the causal Green function for the wave equation in four spacetime dimensions, representing the signal received at the spacetime point x_r due to an impulse emitte…