2 citations · 3 across the 2 of their papers we have counts for
3 papers
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…
math.DG2012★ 2 cited
Coherent state transforms and the Mackey-Stone-Von Neumann theorem
William D. Kirwin, José M. Mourão, João P. Nunes
Mackey showed that for a compact Lie group , the pair has a unique non-trivial irreducible covariant pair of representations. We study the relevance of this resul…