Concentration inequalities
for holomorphic functions
BGSMath Course @ CRM, Barcelona | Fall 2025
BGSMath Course @ CRM, Barcelona | Fall 2025
ℹ️ Information
📚 Bibliography (to be completed)
Uncertainty principle
Donoho, Stark, Uncertainty principles and signal recovery, SIAM J. Appl. Math. 49, No. 3, 906-931 (1989)
Donoho, Stark, A note on rearrangements, spectral concentration, and the zero-order prolate spheroidal wavefunction, IEEE Trans. Inf. Theory 39, No. 1, 257-260 (1993).
Folland, Sitaram, The uncertainty principle: A mathematical survey, J. Fourier Anal. Appl. 3, No. 3, 207-238 (1997). (EuDML)
Slepian, Some comments on Fourier analysis, uncertainty and modeling, SIAM Rev. 25, 379-393 (1983).
Coherent states
Perelomov, Coherent States for Arbitrary Lie Group, Commun. Math. Phys. 26, 222-236 (1972). (arXiv)
Twareque Ali, Antoine, Gazeau, Mueller, Coherent states and their generalizations: A mathematical overview, Rev. Math. Phys. 7, No. 7, 1013-1104 (1995).