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Infinite Dimensional Distributions

In: A Guide to Generalized Functions

Author

Listed:
  • Uluğ Çapar

    (Sabancı University, Faculty of Engineering and Natural Sciences)

Abstract

Firstly about the terminology of ‘infinite dimensional distributions’. The reason why the distributions to be treated in this chapter are called infinite dimensional is that the underlying spaces will be some Banach space, a topological vector space or the dual of a countably Hilbertian nuclear space unlike the distributions like $$\mathcal{D}' $$ D ′ or $$\mathcal{S}'$$ S ′ where the underlying space is usually the finite dimensional $$\mathbb {R}^{n}.$$ R n .

Suggested Citation

  • Uluğ Çapar, 2026. "Infinite Dimensional Distributions," Springer Books, in: A Guide to Generalized Functions, chapter 5, pages 187-239, Springer.
    • Handle: RePEc:spr:sprchp:978-3-032-09184-0_5
    DOI: 10.1007/978-3-032-09184-0_5
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