无脊椎 发表于 2025-3-23 10:04:19
https://doi.org/10.1007/978-3-319-69886-1riants, one for sums and one for integrals. The original variant for integrals of continuous functions or Riemann integrable functions was extended to measurable functions without additional difficulties.逃避责任 发表于 2025-3-23 14:07:05
https://doi.org/10.1007/978-3-319-69886-1onotone sequences and on dominated convergence; the discrete parameter . in these theorems will be replaced by a continuous parameter ⋋. Let first ., be a .-finite measure in the (non-empty) point set ..牌带来 发表于 2025-3-23 21:04:26
https://doi.org/10.1007/978-3-642-73885-2Extension; Fourier series; Fourier transform; Hilbert space; differential equation; mathematical physics;FLINT 发表于 2025-3-23 23:38:20
978-3-540-50017-9Springer-Verlag GmbH Germany, part of Springer Nature 1989愤怒历史 发表于 2025-3-24 02:55:05
http://reply.papertrans.cn/24/2370/236981/236981_15.pngHAVOC 发表于 2025-3-24 08:46:25
Fourier Integral,onotone sequences and on dominated convergence; the discrete parameter . in these theorems will be replaced by a continuous parameter ⋋. Let first ., be a .-finite measure in the (non-empty) point set ..防止 发表于 2025-3-24 11:22:55
http://reply.papertrans.cn/24/2370/236981/236981_17.png凶残 发表于 2025-3-24 15:47:22
The Space of Continuous Functions,y the set ℝ of all real numbers. The set ℝ. is a . with respect to the familiar laws of addition and multiplication by real constants, i.e., if . = (.,…, .), . = (.,…, .) and ⋋ is a real number, then . + . = (.+y.,…,. + .) and ⋋. (⋋.., ⋋x.).Platelet 发表于 2025-3-24 22:33:31
http://reply.papertrans.cn/24/2370/236981/236981_19.pngBernstein-test 发表于 2025-3-25 03:05:11
Fourier Series of Summable Functions,d of c.(.) is also used. The sequence (.ˆ(.) : . = 0, ±1, ±2,…) is then denoted by .ˆ. For any . ∈ .(ℝ,.) there is an analogous notion, although now it is not a sequence of numbers but again a function defined on the whole of ℝ. Precisely formulated, for . ∈ .(ℝ,.) the . . of . is the function, defined for any . ∈ ℝ by