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Other Spaces of Generalized Functions

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Mathematical Methods in Physics

Part of the book series: Progress in Mathematical Physics ((PMP,volume 69))

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Abstract

In the previous chapters we have introduced generalized functions according to L. Schwartz and have studied many of their properties. This chapter collects basic facts about other spaces of generalized functions, without providing proofs. The following spaces of generalized functions are discussed: generalized functions of Gelfand type \(\mathcal{S}\), Sato hyperfunctions, Fourier hyperfunctions, and ultradistributions.

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Author information

Authors and Affiliations

  1. Abt. Theoretische Physik, Universität Bielefeld Fak. Physik, Bielefeld, Germany

    Philippe Blanchard

  2. School of Mathematics, Statistics, and Computer Science, University of KwaZulu-Natal, Durban, South Africa

    Erwin Brüning

Authors
  1. Philippe Blanchard
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  2. Erwin Brüning
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Correspondence to Philippe Blanchard .

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Blanchard, P., Brüning, E. (2015). Other Spaces of Generalized Functions. In: Mathematical Methods in Physics. Progress in Mathematical Physics, vol 69. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-14045-2_12

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