
joel shapiro (ganitshastradnya)

joel etch. shapiro heey american ganitshastradnya aahet, jeey rachana chalavanyachya kshetrat sakriy aahet. teey 'composition operators andd classical function theary' () yaa pustakache aanee american mathematical societyche sansmaran 'cyclic phenomenon phaur composition operators' (american mathche sansmaran) chey lekhak aahet. society #596, khand. 125, 1997, pru. 1-105), paul bordensobat.
karkird.
shapirone 1969 madhye mishigan vidyapithat elon shieldschya dekharekhikhali 'naun-lokalali convex spacessver rekheey karye' yaa shirshakacha ph. dii. prabandh purn keela. padvi ghetalyanantar teey canadatil queens vidyapithat sanshodhan sahyogi banale, tyanantar 1970 pasoon teey mishigan rajya vidyapithat hote, 1979 madhye purn pradhyapak jhaale. teey 2006 paryant mishigan rajyat rahile, jevha teey nivrutt jhaale aanee oregonmadhil portland rajya vidyapithat sahayak pradhyapak jhaale.
shapirone rachana chalakanche kahee gunadharm shodhale, jyat asha chalakanchya chakriy gunadharmancha abhyas aanee ekak diskchya hardy spacessver rachana chalkansathi aavashyak manakanchi pahili ganana samavisht aahe.