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Proceedings of the Edinburgh Mathematical Society (1)

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Local Fractal Interpolation on Unbounded Domains
Part of
Peter R. Massopust
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 61 / Issue 1 / February 2018

Published online by Cambridge University Press:

23 January 2018, pp. 151-167
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We define fractal interpolation on unbounded domains for a certain class of topological spaces and construct local fractal functions. In addition, we derive some properties of these local fractal functions, consider their tensor products, and give conditions for local fractal functions on unbounded domains to be elements of Bochner–Lebesgue spaces.