v 1 7 J un 1 99 9 Unitarily Equivalent Classes of First Order Differential Operators
نویسنده
چکیده
The class of non-homogeneous operators which are based on the same vector field, when viewed as acting on appropriate Hilbert spasces, are shown to be isomorphic to each other. The method is based on expressing a first order non-homogeneous differential operator as a product of a scalar function, a differential operator, and the reciprocal scalar function.
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ar X iv : m at h - ph / 9 90 60 06 v 2 2 4 Ju l 1 99 9 Unitarily Equivalent Classes of First Order Differential Operators
The class of non-homogeneous operators which are based on the same vector field, when viewed as acting on appropriate Hilbert spaces, are shown to be isomorphic to each other. The method is based on expressing a first order non-homogeneous differential operator as a product of a scalar function, a differential operator, and the reciprocal scalar function.
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