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Sato’s Hyperfunctions and Boundary Values of Monogenic Functions

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Abstract

We describe the relationship between Sato’s hyperfunctions and other theories of boundary values. In particular we show how monogenic functions can be used to represent classical hyperfunctions.

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Authors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Milano, Via Bonardi, 9, 20133, Milano, Italy

    Irene Sabadini

  2. Clifford Research Group, Faculty of Sciences, Ghent University, Galglaan 2, 9000, Gent, Belgium

    Franciscus Sommen

  3. Schmid College of Science and Technology, Chapman University, Orange, 92866, CA, USA

    Daniele C. Struppa

Authors
  1. Irene Sabadini
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  2. Franciscus Sommen
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  3. Daniele C. Struppa
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Corresponding author

Correspondence to Irene Sabadini.

Additional information

To Prof. Klaus Gürlebeck on the occasion of his 60th birthday

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Sabadini, I., Sommen, F. & Struppa, D.C. Sato’s Hyperfunctions and Boundary Values of Monogenic Functions. Adv. Appl. Clifford Algebras 24, 1131–1143 (2014). https://doi.org/10.1007/s00006-014-0502-0

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  • DOI: https://doi.org/10.1007/s00006-014-0502-0

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