Abstract
The Space of Test Functions D = D(R1. The space D = D(R1 consists of the infinitely differentiable complex-valued functions of compact support on the line. The functions ϕ is said to have compact support if there exists a number Rsuch that \( \varphi (x) = 0if|x| > R. \) The set D is a vector space over the field C of complex numbers.
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© 1995 Springer-Verlag Berlin Heidelberg
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Havin, V.P., Nikol’skij, N.K. (1995). The Elementary Theory. In: Havin, V.P., Nikol’skij, N.K. (eds) Commutative Harmonic Analysis III. Encyclopaedia of Mathematical Sciences, vol 72. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57854-0_2
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DOI: https://doi.org/10.1007/978-3-642-57854-0_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63380-5
Online ISBN: 978-3-642-57854-0
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