Abstract
We discuss the self-similarity of functions in the setting of the p-series field and p-adic field. A characterization of self-similar functions is given by means of a convolution operator that is of product type. Some local properties are established. Their Fourier expansions and derivatives have the advantage is deduce useful expressions of some typical interesting functions such as the p-adic Cantor functions.
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© 1995 Springer Science+Business Media Dordrecht
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Weixing, Z. (1995). On Selfsimilarity of Functions. In: Cheng, M., Deng, Dg., Gong, S., Yang, CC. (eds) Harmonic Analysis in China. Mathematics and Its Applications, vol 327. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0141-7_15
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DOI: https://doi.org/10.1007/978-94-011-0141-7_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4064-8
Online ISBN: 978-94-011-0141-7
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