Abstract
We give a construction of a de la Vallée Poussin kernel for the Hankel transform based on the convolution structure on the space L 1 (R +, µ v ). In contrast to the classical way to define such a kernel, our construction directly leads to an approximate identity for the underlying space.
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© 2002 Birkhäuser Verlag, Basel
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zu Castell, W., Filbir, F. (2002). De la Vallée Poussin Means for the Hankel Transform. In: Buhmann, M.D., Mache, D.H. (eds) Advanced Problems in Constructive Approximation. ISNM International Series of Numerical Mathematics, vol 142. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7600-1_3
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DOI: https://doi.org/10.1007/978-3-0348-7600-1_3
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-7602-5
Online ISBN: 978-3-0348-7600-1
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