Abstract
The series conjugate to a trigonometric series
is
, where sg n = 1 if n > 0, ‒ 1 if n < 0, and sg 0 = 0. Formally
; such a series is of analytic type.
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Helson, H. (2010). Conjugate Functions. In: Harmonic Analysis. Texts and Readings in Mathematics, vol 7. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-47-7_5
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DOI: https://doi.org/10.1007/978-93-86279-47-7_5
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-93-80250-05-2
Online ISBN: 978-93-86279-47-7
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