Abstract
One of the central objects of Fourier Analysis is operators of the form
(the convolution of a function and a measure) . When λ = 1 these operators commute with the translation operator: \( f\left( \right) \mapsto f\left( { + t} \right)! \) , that is, are translation invariant, and this property characterizes such operators completely.
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© 2004 Springer Science+Business Media Dordrecht
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Trigub, R.M., Bellinsky, E.S. (2004). Representation Theorems. In: Fourier Analysis and Approximation of Functions. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2876-2_1
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DOI: https://doi.org/10.1007/978-1-4020-2876-2_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6641-1
Online ISBN: 978-1-4020-2876-2
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