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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

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