Adaptive Fourier Decomposition of Functions in the Orthogonal Rational System of Quaternionic Values
نویسندگان
چکیده
We study decompositions of functions in the Hardy spaces into linear combinations of the basic functions in the orthogonal rational systems {Bn(x)} which can be obtained in the respective contexts through Gram-Schmidt orthogonalization process on shifted Cauchy kernels. Those lead to adaptive decompositions of quaternionic-valued signals of finite energy. This study is a generalization of the main result in [10, 11].
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