A commutator method for the diagonalization of Hankel operators

Details A commutator method for the diagonalization of Hankel operators A commutator method for the diagonalization of Hankel operators

2010-09-07

arxiv.org/abs/1009.1391v1

Mathematics

Spectral Theory

Scientific paper

We present a method for the explicit diagonalization of some Hankel
operators. This method allows us to recover classical results on the
diagonalization of Hankel operators with the absolutely continuous spectrum. It
leads also to new results. Our approach relies on the commutation of a Hankel
operator with some differential operator of second order.

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