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47:41 Extension operator on open sets U Extension operator on open sets U	Extension operator on open sets U 11995 extension function boundary functions bar phi change operator variables charts b. thing proof vi ball unity partition ui ck cutoff From Rakesh Rakesh 0 likes 14 plays 0
54:57 Extension operator for R_+^n Extension operator for R_+^n	Extension operator for R_+^n 11995 extension function functions operator norm derivatives bar c1 linear c2 minus question direction choice sigma ck proof ball infinity k. From Rakesh Rakesh 0 likes 19 plays 0