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Sayfa 183
Moreover , the integral [ e2 $ ( 1 ; x ( X1 ) , Xo ) dX1 is continuous in 1 > 0 . This
integral is continuous in lat = lo < 0 if and only if l { X1 ERP | Xeo ( X ( X1 ) ) } = 0 ,
where I . denotes the Lebesgue measure in R2 . The proof of Proposition 2 .
Moreover , the integral [ e2 $ ( 1 ; x ( X1 ) , Xo ) dX1 is continuous in 1 > 0 . This
integral is continuous in lat = lo < 0 if and only if l { X1 ERP | Xeo ( X ( X1 ) ) } = 0 ,
where I . denotes the Lebesgue measure in R2 . The proof of Proposition 2 .
Sayfa 196
We prove that this difference depends continuously on 1 , X1 , and t in the trace
norm . Here the only nontrivial issue is the continuous dependence on X1 (
observe that i ( X1 ) is not continuous in X even in the operator norm ) . In order to
...
We prove that this difference depends continuously on 1 , X1 , and t in the trace
norm . Here the only nontrivial issue is the continuous dependence on X1 (
observe that i ( X1 ) is not continuous in X even in the operator norm ) . In order to
...
Sayfa 197
... X1 , t ) is continuous on N . Since Ex ( n , X1 , t ) is integer - valued , it is
constant on the connected components of N . Precisely the same argument
shows also that Ex ( n , X1 , t ) is lower semicontinuous on the entire range of its
variables .
... X1 , t ) is continuous on N . Since Ex ( n , X1 , t ) is integer - valued , it is
constant on the connected components of N . Precisely the same argument
shows also that Ex ( n , X1 , t ) is lower semicontinuous on the entire range of its
variables .
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İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL loSPACES | 23 |
Dedicated to M Sh Birman on the occasion of his 75th birthday | 285 |
ABSTRACT The nonexistence of isometric embeddings em line with p q is proved | 296 |
Telif Hakkı | |
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analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients collection compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding English equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic identity implies inequality integral introduce invertible Lemma linear manifold Math Mathematical matrix monodromy Moreover norm obtain operator oriented pair particular periodic polynomial positive potential present problem proof properties Proposition prove rational relation Remark representation respect result satisfies selfadjoint separation singular smooth solution space spectral spectrum statement Subsection sufficiently Suppose surface symmetric Theorem theory transformation transl true unique values vector vertex vertices zero