Abstract
We show connections between the notion of the value of a distribution at a point in the Łojasiewicz sense and the integrability of its Fourier transform. We consider the one-dimensional case.
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References
P. Dierolf, J. Voigt, Calculation of the bidual for some function spaces, Integrable distributions, Math. Ann., 253, 63–87 (1980).
S. Łojasiewicz, Sur la valeur et la limite d’une distribution dans un point, Studia Math., 16, 1–36 (1957).
S. Łojasiewicz, “Wstęp do teorii funkcji rzeczywistych”, PWN, Warszawa (1973).
R. Wawak, Improper integrals of distributions, Studia Math., (to appear).
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© 1988 Plenum Press, New York
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Wawak, R. (1988). On the Value of a Distribution at a Point. In: Stanković, B., Pap, E., Pilipović, S., Vladimirov, V.S. (eds) Generalized Functions, Convergence Structures, and Their Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1055-6_36
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DOI: https://doi.org/10.1007/978-1-4613-1055-6_36
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8312-6
Online ISBN: 978-1-4613-1055-6
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