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The fundamental principle for systems of convolution equations

About this Title

Daniele Carlo Struppa

Publication: Memoirs of the American Mathematical Society
Publication Year: 1983; Volume 41, Number 273
ISBNs: 978-0-8218-2273-9 (print); 978-1-4704-0683-7 (online)
MathSciNet review: 683420
MSC: Primary 46F10; Secondary 32A15, 32E15, 35C99, 41A05

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Table of Contents


  • I. Introduction
  • II. The interpolation formula
  • III. The slowly decreasing conditions
  • IV. The generalized Koszul complex
  • V. Representation theorems for systems of convolution equations in the spaces $A_p(\mathbb {C}^n)$
  • VI. Inductive limits of spaces $A_p(\mathbb {C}^n)$
  • VII. The representation theorems and the Lau-spaces
  • VIII. The spaces $\mathcal {D}_\omega (\mathbb {R}^n)$ and $\mathcal {D}’_\omega (\mathbb {R}^n)$
  • IX. Some open questions