Abstract
The contents of Chapters 4 and 5 bear a close resemblance to one another. In fact the case of periodic functions considered in Chapter 5 was developed heuristically from its discrete counterpart, periodic sequences, given in Chapter 4. In the latter instance each periodic sequence could be identified with a point in finite dimensional space, while in the former case a Fourier representation required an infinite dimensional specification. Both the discrete and continuous cases had a geometrical flavor. It is this that we now develop further. As an experiment in presentation we do this in parallel.
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© 1988 Springer Science+Business Media New York
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Sirovich, L. (1988). Spaces of Functions. In: Introduction to Applied Mathematics. Text in Applied Mathematics, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4580-3_6
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DOI: https://doi.org/10.1007/978-1-4612-4580-3_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8932-6
Online ISBN: 978-1-4612-4580-3
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