20 citations · 48 across the 17 of their papers we have counts for
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Holomorphic fractional Fourier transforms
William D. Kirwin, José Mourão, João P. Nunes +1
The Fractional Fourier Transform (FrFT) has widespread applications in areas like signal analysis, Fourier optics, diffraction theory, etc. The Holomorphic Fractional Fourier Trans…
Segal-Bargmann transforms from hyperbolic Hamiltonians
William D. Kirwin, José Mourão, João P. Nunes +1
We consider the imaginary time flow of a quadratic hyperbolic Hamiltonian on the symplectic plane, apply it to the Schrödinger polarization and study the corresponding evolution of…
Extending coherent state transforms to Clifford analysis
William D. Kirwin, José Mourão, João P. Nunes +1
We introduce two extensions of the Segal-Bargmann coherent state transform from to Hilbert spaces of slice monogenic and axial monogenic functions and study t…