The unitary extension principle on locally compact abelian groups
نویسندگان
چکیده
منابع مشابه
The unitary extension principle on locally compact abelian groups
The unitary extension principle (UEP) by Ron and Shen yields conditions for the construction of a multi-generated tight wavelet frame for L2(Rs) based on a given refinable function. In this paper we show that the UEP can be generalized to locally compact abelian groups. In the general setting, the resulting frames are generated by modulates of a collection of functions; via the Fourier transfor...
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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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متن کاملbracket products on locally compact abelian groups
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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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2019
ISSN: 1063-5203
DOI: 10.1016/j.acha.2017.07.004