
bochner mojata yenyajoge karya

ganitamadhye-visheshtah, karyatmak vishleshanamadhye-bachanach jaaget moolye ghenare bochner-mojata yenyajoge karya heey eka asey karya aahe jeey jawaljawal sarvatra mojata yenyajogi mojata yenyajogi-moolye asaleli karye, mhanje.eae.,
jethe functions formula _ 2 chee pratyeki mojata yenyajogi shreni asate aanee jyasathi pratyek ghatak "x" sathee purv-pratima formula _ 3 mojata yete. yaa sankalpanela salomon bochnerche naav denyat aale aahe.
bochner-mojata yenyajogya karyanna kadhikadhi jordar mojata yenyajogi, sootra-4-mojata yenyajogi kinwa fakt mojata yenyajogi (kinwa banach space hii banach space darmyan satat resheey operatorchi jaaga asalyas eksaman mojata yenyajogi) asey mhanatat.
malmatta.
mapanakshamta aanee kamkuvat mapanakshamta yanchyatil sambandh khaleel parinamandware deela jaato, jyala petisache pramey kinwa petis mapanakshamta pramey mhanatat.
jarr 'aine' ′ ex 'haah upasanch' maay '(' aine ') = 0 saha assa astitvat asel qee' eff '(' ex " aine ') ′ bii' vegale karata yeil, tarr 'eff' heey karya jawaljawal nishchitpane vegale moolya (kinwa moolatah vegale moolya) aahe.
jarr aanee keval jarr teey donhi kamkuvatpane mojata yenyajoge aanee jawaljawal nishchitpane vegale moolya asalele asel, tarr f: "x" "" b "heey mojmap jagevar (" x "," σ "," μ ") paribhashit kelele aanee banach jaaget" b "hii moolye ghene (jordarpane) mojata yenyasarkhe aahe (σ aanee" b "vareel borle bijganitachya sandarbhat). 
jarr 'buub' vegale karata yenyajoga asel, kaaran vegale karata yenyajogi banach jaaga swatach vegale karata yenyajogi asalyane, ekhadi vyakti varr 'aine' rikami mhanoon gheu shakate aanee tyanantar jevha 'buub' vegale karata yenyajogi asel tevha kamkuvat aanee majboot mojmapakshamtechya kalpana sahmat hotat.