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64 sonuçtan 1-3 arası sonuçlar
Sayfa 195
We apply Lemma 5 . 1 . For the leading term we have formula ( 4 . 12 ) , which
gives the limiting expression in ( 2 . 5 ) . Now , we check that the remainder terms
given by the right - hand side of ( 5 . 2 ) are o ( 61 / 2 ) . Consider the term | | ( J +
A ) ...
We apply Lemma 5 . 1 . For the leading term we have formula ( 4 . 12 ) , which
gives the limiting expression in ( 2 . 5 ) . Now , we check that the remainder terms
given by the right - hand side of ( 5 . 2 ) are o ( 61 / 2 ) . Consider the term | | ( J +
A ) ...
Sayfa 253
We are going to apply Lemma 7 . 1 with H = L2 ( 12 ) , P = P , Q = F ( k ) , ti ( u , v )
= a ( k , € ) [ u , v ] + 8 ? ( u , v ) [ 2 ( 82 ) , tz ( u , v ) = s ( k , € ) [ Pu , Pu ] + 8 ? ( u , v
) L2 ( 2 ) , o = ( 12 ) , and Dom t2 = { u E L2 ( 12 ) : Pu € Ñ ? ( 0 , a ) } .
We are going to apply Lemma 7 . 1 with H = L2 ( 12 ) , P = P , Q = F ( k ) , ti ( u , v )
= a ( k , € ) [ u , v ] + 8 ? ( u , v ) [ 2 ( 82 ) , tz ( u , v ) = s ( k , € ) [ Pu , Pu ] + 8 ? ( u , v
) L2 ( 2 ) , o = ( 12 ) , and Dom t2 = { u E L2 ( 12 ) : Pu € Ñ ? ( 0 , a ) } .
Sayfa 288
... Introduction , our goal is to incorporate a semiclassical parameter h in the
operators A and B and to apply the theory of h - pseudodifferential operators in
order to give a complete semiclassical asymptotic expansion of the trace of D ( h )
* .
... Introduction , our goal is to incorporate a semiclassical parameter h in the
operators A and B and to apply the theory of h - pseudodifferential operators in
order to give a complete semiclassical asymptotic expansion of the trace of D ( h )
* .
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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