46Exx Linear function spaces and their duals [See also <a href="#code:30H05">30H05</a>, <a href="#code:32A38">32A38</a>, <a href="#code:46F05">46F05</a>] {For function algebras, see <a href="#code:46J10">46J10</a>}

46E05 Lattices of continuous, differentiable or analytic functions

46E10 Topological linear spaces of continuous, differentiable or analytic functions

46E15 Banach spaces of continuous, differentiable or analytic functions

46E20 Hilbert spaces of continuous, differentiable or analytic functions

46E22 Hilbert spaces with reproducing kernels (= [proper] functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) [See also <a href="#code:47B32">47B32</a>]

46E25 Rings and algebras of continuous, differentiable or analytic functions {For Banach function algebras, see <a href="#code:46J10">46J10</a>, <a href="#code:46J15">46J15</a>}

46E27 Spaces of measures [See also <a href="#code:28A33">28A33</a>, <a href="#code:46Gxx">46Gxx</a>]

46E30 Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

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

46E40 Spaces of vector- and operator-valued functions

46E50 Spaces of differentiable or holomorphic functions on infinite-dimensional spaces [See also <a href="#code:46G20">46G20</a>, <a href="#code:46G25">46G25</a>, <a href="#code:47H60">47H60</a>]

46E99 None of the above, but in this section

46Fxx Distributions, generalized functions, distribution spaces [See also <a href="#code:46T30">46T30</a>]

46F05 Topological linear spaces of test functions, distributions and ultradistributions [See also <a href="#code:46E10">46E10</a>, <a href="#code:46E35">46E35</a>]

46F12 Integral transforms in distribution spaces [See also <a href="#code:42-XX">42-XX</a>, <a href="#code:44-XX">44-XX</a>]

46F15 Hyperfunctions, analytic functionals [See also <a href="#code:32A25">32A25</a>, <a href="#code:32A45">32A45</a>, <a href="#code:32C35">32C35</a>, <a href="#code:58J15">58J15</a>]