On the division of distributions by analytic functions in locally convex spaces
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- by Denis Chansolme PDF
- Trans. Amer. Math. Soc. 274 (1982), 319-325 Request permission
Abstract:
Although the division of distributions by real polynomials and real analytic functions (which are nonzero) is always possible in finite dimensional spaces (from classical results of Hörmander and Lojasiewicz respectively), we show that this is not always possible in infinite dimensional locally convex spaces. In particular, we characterize those locally convex spaces where division is always possible.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 274 (1982), 319-325
- MSC: Primary 46F25; Secondary 46G99, 58C10
- DOI: https://doi.org/10.1090/S0002-9947-1982-0670935-7
- MathSciNet review: 670935