Alladi Ramakrishnan Hall
Sampling Theory in Shift-invariant Spaces
Anthony Selvan
IMSc
In this talk, we discuss Shannon-type sampling formulas,
Kadec-type theorems, and Beurling-Landau-type theorems for shift-invariant
spaces. We provide the sharp maximum gap condition for a sampling set in
the shift-invariant space generated by Meyer scaling functions. This is an
open problem (sampling density condition for shift invariant spaces)
proposed by Aldroubi and Grochenig in 2000. Finally, we discuss a new
sampling density condition for shift-invariant spaces.
Done