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Generalized functions associated with self-adjoint operators
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper, from several commutative self-adjoint operators on a Hilbert space, we define a class of spaces of fundamental functions and generalized functions, which are characterized completely by selfadjoint operators. Specially, using the common eigenvectors of these self-adjoint operators, we give the general form of expansion in series of generalized functions
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- Copyright © Australian Mathematical Society 2000