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Corrected spelling of L. Schwartz' name, clarified language, ... perhaps.
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paul garrett
paul garrett
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Good evening, WhyWhy do we generalize functions by functionals on SchwarzSchwartz Spaces despite, beyond the fact that it simply works? There should be a deeper reason why SchwarzSchwartz considered functionals. Excited for answers, Alex.

Good evening, Why do we generalize functions by functionals on Schwarz Spaces despite the fact that it simply works? There should be a deeper reason why Schwarz considered functionals. Excited for answers, Alex.

Why do we generalize functions by functionals on Schwartz Spaces, beyond the fact that it simply works? There should be a deeper reason why Schwartz considered functionals. Excited for answers, Alex.

Post Closed as "Needs more focus" by Steven Gubkin, Will Jagy, Andrey Rekalo, Qiaochu Yuan, Theo Johnson-Freyd
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C-star-W-star
C-star-W-star
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Why distributions as functionals?

Good evening, Why do we generalize functions by functionals on Schwarz Spaces despite the fact that it simply works? There should be a deeper reason why Schwarz considered functionals. Excited for answers, Alex.