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math-ph2019★ 1 cited
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…
math-ph2019
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…