Towards a Morse theory on Banach spaces via ultrafunctions
classification
🧮 math.FA
keywords
banachmorsespacestechnicaltheoryultrafunctionsanalysisapproach
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Morse Theory on Banach spaces would be a useful tool in nonlinear analysis but its development is hindered by many technical problems. In this paper we present an approach based on a new notion of generalized functions called \textquotedblleft ultrafunctions\textquotedblright\ which solves some of the technical questions involved.
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