38 citations · 236 across the 26 of their papers we have counts for
3 papers · 1 filter
Discretization of quaternionic continuous wavelet transforms
A. Askari Hemmat, K. Thirulogasanthar, A. Krzyzak
A scheme to form a basis and a frame for a Hilbert space of quaternion valued square integrable function from a basis and a frame, respectively, of a Hilbert space of complex value…
Coherent states on quaternion Slices and a measurable field of Hilbert spaces
K. Thirulogasanthar, B. Muraleetharan
A set of reproducing kernel Hilbert spaces are obtained on Hilbert spaces over quaternion slices with the aid of coherent states. It is proved that the so obtained set forms a meas…
General construction of Reproducing Kernels on a quaternionic Hilbert space
K. Thirulogasanthar, S. Twareque Ali
A general theory of reproducing kernels and reproducing kernel Hilbert spaces on a right quaternionic Hilbert space is presented. Positive operator valued measures and their connec…