Abstract
Whereas the theorems of §§ 3 and 4 involve the function and the coefficients symmetrically when the index γ is not an integer, and sometimes when it is, there are a number of asymmetric theorems, and some missing ones, for integral values of γ, usually at values differing by 2. In this section we shall summarize the known facts and point out some connections with other aspects of the theory of trigonometric series, mentioning also a number of results that do not involve absolute convergence.
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© 1967 Springer-Verlag Berlin · Heidelberg
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Boas, R.P. (1967). The exceptional integral values of the index. In: Integrability Theorems for Trigonometric Transforms. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87108-5_5
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DOI: https://doi.org/10.1007/978-3-642-87108-5_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-87110-8
Online ISBN: 978-3-642-87108-5
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