# A p-Adic Theory of Hyperfunctions, I

@article{Morita1981APT,
title={A p-Adic Theory of Hyperfunctions, I},
author={Yasuo Morita},
journal={Publications of The Research Institute for Mathematical Sciences},
year={1981},
volume={17},
pages={1-24}
}
• Y. Morita
• Published 30 April 1981
• Mathematics
• Publications of The Research Institute for Mathematical Sciences
Publisher Summary This chapter presents a p-adic theory of hyperfunctions of several variables by using relative cohomologies of rigid analytic spaces. The chapter reviews the general theory of relative cohomologies of rigid analytic spaces, and discusses the relation between the usual topology of K and the Grothendieck topology of X. A lemma on the relative cohomologies on a polydisk is proven, and the duality is obtained. As for the theory of rigid analytic spaces, the terminology of Bosch…
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## References

SHOWING 1-10 OF 17 REFERENCES
Projective and injective limits of weakly compact sequences of locally convex spaces
Silva [15] and Raikov [12] [13] studied projective and injective limits of compact sequences of locally convex spaces and revealed remarkable properties of the locally convex spaces expressed as
Théorie des distributions
II. Differentiation II.2. Examples of differentiation. The case of one variable (n = 1). II.2.3. Pseudofunctions. Hadamard finite part. We calculate the derivative of a function f(x) which is equal
Fonctions zeta p-adiques des corps de nombres abeliens réels
• Mathematics
• 1972
© Mémoires de la S. M. F., 1971, tous droits réservés. L’accès aux archives de la revue « Mémoires de la S. M. F. » (http://smf. emath.fr/Publications/Memoires/Presentation.html) implique l’accord
Arithmetic of Weil curves
• Mathematics
• 1974
w 2. Well Curves . . . . . . . . . . . . . . . . . . . . . . 4 (2.1) Deflmtions . . . . . . . . . . . . . . . . . . . . . 4 (2.2) The Winding Number . . . . . . . . . . . . . . . . 7 (2.3) The
Espaces vectoriels topologiques
Les Elements de mathematique de Nicolas Bourbaki ont pour objet une presentation rigoureuse, systematique et sans prerequis des mathematiques depuis leurs fondements. Ce livre est le cinquieme du
Eine p-adische Theorie der Zetawerte. Teil I: Einführung der p-adischen Dirichletschen L-Funktionen.
• Mathematics
• 1964
Von den übrigen Werten von L (s, ) ist vor allem noch der (wahrscheinlich transzendente) Wert L(l, ) = £«>(#) wegen seines Auftretens in der Klassenzahlformel für die über Q abelschen Zahlkörper
On generalized $p$-adic integration
© Mémoires de la S. M. F., 1974, tous droits réservés. L’accès aux archives de la revue « Mémoires de la S. M. F. » (http:// smf.emath.fr/Publications/Memoires/Presentation.html) implique l’accord