The Enduring Legacy of Grothendieck’s Duality Theorem
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Description
We discuss the evolution of the theory of duality between holomorphic functions and analytic functionals. The theory originated with the work of Fantappié, but was transformed into a much more far-reaching theory through the work of Grothendieck and the development of the theory of locally convex topological vector spaces. The ideas brought forward in that context eventually led to Sato’s discovery of hyperfunctions and remain very much alive in modern work on hypercomplex analysis.
ISBN
10.1007/978-3-031-68934-5
Publication Date
1-21-2025
Publisher
Birkhäuser Cham
City
Cham, Switzerland
Keywords
analytic functionals, duality theorems, hyperfunctions, hypercomplex analysis
Disciplines
Analysis | Other Mathematics
Recommended Citation
Struppa, D.C. (2025). The Enduring Legacy of Grothendieck’s Duality Theorem. In: Panza, M., Struppa, D.C., Szczeciniarz, JJ. (eds) The Mathematical and Philosophical Legacy of Alexander Grothendieck. Chapman Mathematical Notes. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-68934-5_5
Copyright
The Author(s), under exclusive license to Springer Nature Switzerland AG
Comments
In Marco Panza, Daniele C. Struppa, and Jean-Jacques Szczeciniarz (Eds.), The Mathematical and Philosophical Legacy of Alexander Grothendieck.
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