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54 sonuçtan 1-3 arası sonuçlar
Sayfa 194
11 ) , ( 5 . 4 ) sup | | T ( Eb + 1 + 10 ) | | = O ( 6 - 1 / 2 ) , b + . λεΔ It follows that for
all sufficiently large b we have ( 5 . 5 ) sup | | A ( Eb + 1 + i0 ) | | < 1 / 2 , λεΔ and
therefore ind ( J + A ( Eb + 1 ) , J ) = 0 , LE A . We estimate the error terms given
by ...
11 ) , ( 5 . 4 ) sup | | T ( Eb + 1 + 10 ) | | = O ( 6 - 1 / 2 ) , b + . λεΔ It follows that for
all sufficiently large b we have ( 5 . 5 ) sup | | A ( Eb + 1 + i0 ) | | < 1 / 2 , λεΔ and
therefore ind ( J + A ( Eb + 1 ) , J ) = 0 , LE A . We estimate the error terms given
by ...
Sayfa 214
Then zo is a critical poini of Weff , e for e sufficiently small . ( 2 ) Suppose ve , ve
are two families of solutions of ( 1 . 6 ) and ( 1 . 7 ) with ve , Vi + Vz07 in Hạ and
zo E Red . Then ve = ve for e sufficiently small . Denote vo : = V2 = 0 , x = 0 .
Then zo is a critical poini of Weff , e for e sufficiently small . ( 2 ) Suppose ve , ve
are two families of solutions of ( 1 . 6 ) and ( 1 . 7 ) with ve , Vi + Vz07 in Hạ and
zo E Red . Then ve = ve for e sufficiently small . Denote vo : = V2 = 0 , x = 0 .
Sayfa 218
CEL Since zo Eles and zk + 20 , it follows that zk E seg for k sufficiently large .
Hence , by ( 3 . 7 ) and Theorem 3 . 4 ( part 2 ) ) , for all k > ko we have ( 3 . 8 )
Weff , cx ( zk ) = 0 for some z € BR2 ( , 2 ) . Since We = €W , we have Weff , e = €
Weff ...
CEL Since zo Eles and zk + 20 , it follows that zk E seg for k sufficiently large .
Hence , by ( 3 . 7 ) and Theorem 3 . 4 ( part 2 ) ) , for all k > ko we have ( 3 . 8 )
Weff , cx ( zk ) = 0 for some z € BR2 ( , 2 ) . Since We = €W , we have Weff , e = €
Weff ...
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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 | |
4 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
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