Some integrability theorems for multiple trigonometric series
Tuo-Yeong Lee (2011)
Mathematica Bohemica
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Several new integrability theorems are proved for multiple cosine or sine series.
Displaying similar documents to “Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series”
Some integrability theorems for multiple trigonometric series
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We consider the Fourier transform in the space of Henstock-Kurzweil integrable functions. We prove that the classical results related to the Riemann-Lebesgue lemma, existence and continuity are true in appropriate subspaces.
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