Interpolation theory for the HK-Fourier transform

Authors

  • Juan H. Arredondo Ruiz Departamento de Matemáticas, Universidad Autónoma Metropolitana - Iztapalapa Av. San Rafael Atlixco 186, 09340 Iztapalapa, CDMX, México
  • Alfredo Reyes Vazquez Departamento de Matemáticas, Universidad Autónoma Metropolitana - Iztapalapa Av. San Rafael Atlixco 186, 09340 Iztapalapa, CDMX, México

DOI:

https://doi.org/10.33044/revuma.1911

Abstract

 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.

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Published

2021-11-09

Issue

Vol. 62 No. 2 (2021)

Section

Article

License

Copyright (c) 2022 Alfredo Reyes Vazquez, Juan H Arredondo Ruiz, Professor

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