Abstract
In this brief chapter we introduce the reader to two problems typical of the current outlook on harmonic analysis. The first problem, which will be solved in detail in Section 4.1, arises on choosing any one of the convolution algebras E mentioned in Subsection 3.3.2 and seeking to determine all the homomorphisms γ of E into the complex field. The answer highlights the fundamental importance of the Fourier transformation in relation to group structure.
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© 1979 Springer-Verlag New York, Inc.
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Edwards, R.E. (1979). Homomorphisms of Convolution Algebras. In: Fourier Series. Graduate Texts in Mathematics, vol 64. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6208-4_4
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DOI: https://doi.org/10.1007/978-1-4612-6208-4_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6210-7
Online ISBN: 978-1-4612-6208-4
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