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math.FA2025
On Wigdersons' approach to the uncertainty principle
Nuno Costa Dias, Franz Luef, João Nuno Prata
We revisit the uncertainty principle from the point of view suggested by A. Wigderson and Y. Wigderson. This approach is based on a primary uncertainty principle from which one can…
math.FA2024
A metaplectic perspective of uncertainty principles in the Linear Canonical Transform domain
Nuno Costa Dias, Maurice de Gosson, João Nuno Prata
We derive Heisenberg uncertainty principles for pairs of Linear Canonical Transforms of a given function, by resorting to the fact that these transforms are just metaplectic operat…