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Interpolation theory for the HK-Fourier transform

2021; Unión Matemática Argentina; Linguagem: Inglês

10.33044/revuma.1911

1669-9637

Juan H. Arredondo, Alfredo Reyes,

Digital Filter Design and Implementation

We use the Henstock-Kurzweil integral and interpolation theory to extend the Fourier cosine transform operator, broadening some classical properties such as the Riemann-Lebesgue lemma.Furthermore, we show that a qualitative difference between the cosine and sine transform is preserved on differentiable functions.