Bracket Products on Locally Compact Abelian Groups
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Abstract:
We define a new function-valued inner product on L2(G), called ?-bracket product, where G is a locally compact abelian group and ? is a topological isomorphism on G. We investigate the notion of ?-orthogonality, Bessel's Inequality and ?-orthonormal bases with respect to this inner product on L2(G).
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Journal title
volume 19 issue 2
pages -
publication date 2008-09-01
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