Abstract
In this chapter we introduce the so-called Dirichlet and Fejér kernels and their elementary properties. These kernels are basic in the study of point wise convergence and summability, respectively, of Fourier series. From their properties we shall derive the localization principle, together with alternative proofs of the uniqueness and approximation theorems of 2.4.1 and 2.4.4.
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© 1979 Springer-Verlag New York, Inc.
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Edwards, R.E. (1979). The Dirichlet and Fejér Kernels. Cesàro Summability. In: Fourier Series. Graduate Texts in Mathematics, vol 64. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6208-4_5
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DOI: https://doi.org/10.1007/978-1-4612-6208-4_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6210-7
Online ISBN: 978-1-4612-6208-4
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