の上では details

Examples

on paper; by the figures or the record — states what the record says, with the real situation implied to differ

暦こよみの上うえではもう春はるなのに、まだ雪ゆきが降ふってるよ。

koyomi no ue de wa mou haru na noni, mada yuki ga futteru yo.

By the calendar it's already spring, and yet it's still snowing. casual

計算けいさんの上うえでは間まに合あいますが、実際じっさいはかなり厳きびしいと思おもいます。

keisan no ue de wa ma ni aimasu ga, jissai wa kanari kibishii to omoimasu.

On the numbers we make it in time, but in practice it will be very tight. neutral

書類しょるいの上うえでは手続てつづきは完了かんりょうしておりますが、現地げんちの確認かくにんがまだ済すんでおりません。

shorui no ue de wa tetsuzuki wa kanryou shite orimasu ga, genchi no kakunin ga mada sunde orimasen.

On paper the procedure is complete, but the on-site check has not been done. formal

上
〜上じょう fuses straight onto an abstract noun with no の and states the domain a fact holds in, implying nothing about reality (法律上ほうりつじょう問題もんだいない "there is no legal problem"); の上うえでは needs the の, takes a record or a calculation as its noun, and its は marks that record off against an unspoken "…but in fact" (計算けいさんの上うえでは間まに合あう) — 法律上ほうりつじょう問題もんだいない claims there is no problem, 法律ほうりつの上うえでは問題もんだいない all but says there is one.
から言うと
からいうと picks a criterion and delivers the speaker's own verdict by it (安全面あんぜんめんから言いえば問題もんだいがある); の上うえでは reports what a record, a figure or a formula says while withholding the speaker's agreement (計算けいさんの上うえでは間まに合あう) — からいうと carries no "…but really" undertow, which is the whole point of の上うえでは.

上で
The two strings differ only by は, and the noun decides which pattern you are in — 確認かくにんの上うえで is "after confirming, then…" (an ACTION noun), 計算けいさんの上うえでは is "by the calculation, though in fact…" (a RECORD noun) — 調査ちょうさの上うえで決きめる means "decide after investigating", while 調査ちょうさの上うえでは問題もんだいない means "the survey says there is no problem".