4 papers
Zonal Spherical Functions of Quantum Symmetric Pairs
Philip Schlösser
We identify the zonal and character spherical functions for quantum symmetric pairs with the symmetric Koornwinder--Macdonald polynomials. To this end, the methods of Letzter's 200…
The S-functional calculus for the Clifford adjoint operator
F. Colombo, F. Mantovani, P. Schlosser
In this paper, we work within the framework of modules over the Clifford algebra . Our investigation focuses on the S-spectrum and the S-functional calculus in its va…
Superoscillations in the hypercomplex setting
F. Colombo, F. Mantovani, S. Pinton +1
Superoscillatory functions represent a counterintuitive phenomenon in physics but also in mathematics, where a band-limited function oscillates faster than its highest Fourier comp…
Casimir Radial Parts via Matsuki Decomposition
Philip Schlösser, Mikhail Isachenkov
We use Matsuki's decomposition for symmetric pairs of (not necessarily compact) reductive Lie groups to construct the radial parts for invariant differential operators act…