An Epsilon of Room, I: Real Analysis: pages from year three of a mathematical blog
zbMATH Open1216.46002MaRDI QIDQ3066191
Publication date: 10 January 2011
Fourier transformSobolev spacesHahn-Banach theoremdistributionscompactnessHausdorff dimensionamenabilityweak topologiessigned measuresZorn's lemmaCarathéodory extension theoremBanach-Tarski paradoxBaire category theoremordinalsHardy's uncertainty principleping-pong lemmawell-ordered setsepsilon regularisation argumentinterpolation of \(L^p\) spacesRadon-Nikodým-Lebesgue theoremStone and Loomis-Sikorski representation theorems
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces (42-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01)
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