Abstract
For reasons explained earlier we introduced various classes of distributions as elements of the topological dual of suitable test function spaces. Later we learned that distributions can also be defined as equivalence classes of certain Cauchy sequences of smooth functions or, locally, as finite order weak derivatives of continuous functions. In this chapter we learn that distributions have another characterization, namely as finite sums of boundary values of analytic functions.
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© 2003 Springer Science+Business Media New York
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Blanchard, P., Brüning, E. (2003). Distributions and Analytic Functions. In: Mathematical Methods in Physics. Progress in Mathematical Physics, vol 26. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0049-9_11
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DOI: https://doi.org/10.1007/978-1-4612-0049-9_11
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6589-4
Online ISBN: 978-1-4612-0049-9
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