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Mathematical Sciences Classification System

46Exx - Linear function spaces and their duals
[See also 30H05, 32A38, 46F05]
{For function algebras, see 46J10}

• 2
  46E05
  Lattices of continuous, differentiable or analytic functions
• 4
  46E10
  Topological linear spaces of continuous, differentiable or analytic functions
• 28
  46E15
  Banach spaces of continuous, differentiable or analytic functions
• 14
  46E20
  Hilbert spaces of continuous, differentiable or analytic functions
• 26
  46E22
  Hilbert spaces with reproducing kernels (= [proper] functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) [See also 47B32]
• 8
  46E25
  Rings and algebras of continuous, differentiable or analytic functions {For Banach function algebras, see 46J10, 46J15}
• 9
  46E27
  Spaces of measures [See also 28A33, 46Gxx]
• 76
  46E30
  Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 102
  46E35
  Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
• 46E39
  Sobolev (and similar kinds of) spaces of functions of discrete variables
• 10
  46E40
  Spaces of vector- and operator-valued functions
• 1
  46E50
  Spaces of differentiable or holomorphic functions on infinite-dimensional spaces [See also 46G20, 46G25, 47H60]
• 1
  46E99
  None of the above, but in this section