43 citations · 256 across the 27 of their papers we have counts for
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Distributional Sources for Newman's Holomorphic Field
Gerald Kaiser
In 1973, E. T. Newman considered the holomorphic extension \tilde E(x+iy) of the Coulomb field E(x) in R^3. By analyzing its multipole expansion, he showed that the real and imagin…
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…
Deformations of Gabor Frames
Gerald Kaiser
The quantum mechanical harmonic oscillator Hamiltonian generates a one-parameter unitary group W(θ) in L^2(R) which rotates the time-frequency plane. In particular, W(π/2) is the F…
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…
Wavelet Electrodynamics I
Gerald Kaiser
A new representation for solutions of Maxwell's equations is derived. Instead of being expanded in plane waves, the solutions are given as linear superpositions of spherical wavele…
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…