Abstract
In the last chapter, we explained the basic concepts of hyperfunctions and the rules of linear combination, multiplication by analytic function, differentiation and definite integration. Then, not only almost all familiar functions, but also objects such as the δ-function, can be reinterpreted as hyperfunctions and dealt with in a unified way. In this chapter we discuss, in detail, several examples of basic hyperfunctions. We begin with characteristics of individual hyperfunctions such as parity, realness, etc.
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© 1992 Springer Science+Business Media Dordrecht
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Imai, I. (1992). Basic Hyperfunctions. In: Applied Hyperfunction Theory. Mathematics and Its Applications (Japanese Series), vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2548-2_3
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DOI: https://doi.org/10.1007/978-94-011-2548-2_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5125-5
Online ISBN: 978-94-011-2548-2
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