Algebras of distributions suitable for phase‐space quantum mechanics. I
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Date
1988-06-04Author
Gracia Bondía, José M.
Várilly Boyle, Joseph C.
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The twisted product of functions on R^2N is extended to a *-algebra of
tempered distributions which contains the rapidly decreasing smooth
functions, the distributions of compact support, and all polynomials,
and moreover is invariant under the Fourier transformation. The
regularity properties of the twisted product are investigated. A
matrix presentation of the twisted product is given, with respect to
an appropriate orthonormal basis, which is used to construct a family
of Banach algebras under this product.
External link to the item
10.1063/1.528200Collections
- Matemática [230]