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math.CA2022
The AGM of Gauss, Ramanujan's corresponding theory, and spectral bounds of self-adjoint operators
Markus Faulhuber, Anupam Gumber, Irina Shafkulovska
We study the spectral bounds of self-adjoint operators on the Hilbert space of square-integrable functions, arising from the representation theory of the Heisenberg group. Interest…
math.FA2022
Fourier characterizations of Pilipovic spaces
Joachim Toft, Anupam Gumber
Let be a function or distribution on $\rr d$. We show that belongs to a certain Pilipovi{ć} space, if and only if and suitable partial fractional Fourier transforms of…