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91 sonuçtan 1-3 arası sonuçlar
Sayfa 192
Now , we prove that the right - hand side of ( 3 . 21 ) is bounded on any closed
interval that contains no Landau levels . By ( 3 . 17 ) , we have l ind ( J + A ( E ) +
tB ( E ) , J ) du ( t ) = n ( 1 / 3 , A ( E ) ) + | | B ( E ) | | sı : J - By Lemma 4 . 2 , the
right ...
Now , we prove that the right - hand side of ( 3 . 21 ) is bounded on any closed
interval that contains no Landau levels . By ( 3 . 17 ) , we have l ind ( J + A ( E ) +
tB ( E ) , J ) du ( t ) = n ( 1 / 3 , A ( E ) ) + | | B ( E ) | | sı : J - By Lemma 4 . 2 , the
right ...
Sayfa 193
First , we prove a simple lemma of abstract nature . This lemma might be of
independent interest . Note that formulas similar to ( 5 . 1 ) can be found in ( 15 ) .
Lemma 5 . 1 . Let A = A * be a compact operator , let 0 ) < BE Si , and let J = J * =
J - 1 ...
First , we prove a simple lemma of abstract nature . This lemma might be of
independent interest . Note that formulas similar to ( 5 . 1 ) can be found in ( 15 ) .
Lemma 5 . 1 . Let A = A * be a compact operator , let 0 ) < BE Si , and let J = J * =
J - 1 ...
Sayfa 227
5 ) Ec ( Vzx ) = Eq ( vzy ) + | We ( 2 ) ( \ 40 ( x − 2 ) / 2 – 1 ) dx ( 6 . 4 ) 2 JR2 and
Eo ( vzą ) = Eo ( 40 , A0 ) ( by the translational and gauge invariance of the
energy functional Eo ) . To prove ( 6 . 3 ) for sal = 0 , we notice that , since E / (
Uzy ) = 0 ...
5 ) Ec ( Vzx ) = Eq ( vzy ) + | We ( 2 ) ( \ 40 ( x − 2 ) / 2 – 1 ) dx ( 6 . 4 ) 2 JR2 and
Eo ( vzą ) = Eo ( 40 , A0 ) ( by the translational and gauge invariance of the
energy functional Eo ) . To prove ( 6 . 3 ) for sal = 0 , we notice that , since E / (
Uzy ) = 0 ...
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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