St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
60 sonuçtan 1-3 arası sonuçlar
Sayfa 10
... identity ( due to Lucas , 1876 ) yields an isometric embedding - - > lp . [ 26 ] . Many identities of similar kind were mentioned in [ 8 ] in their relation to Waring's problem in number theory . Each of them yields an isometric ...
... identity ( due to Lucas , 1876 ) yields an isometric embedding - - > lp . [ 26 ] . Many identities of similar kind were mentioned in [ 8 ] in their relation to Waring's problem in number theory . Each of them yields an isometric ...
Sayfa 11
... identity ( 1.7 ) goes back to Hilbert [ 14 ] , who used it to solve Waring's problem . We shall call ( 1.7 ) the Hilbert identity regardless of the ground field . The constant Ym , p can be calculated explicitly but we do not need it in ...
... identity ( 1.7 ) goes back to Hilbert [ 14 ] , who used it to solve Waring's problem . We shall call ( 1.7 ) the Hilbert identity regardless of the ground field . The constant Ym , p can be calculated explicitly but we do not need it in ...
Sayfa 17
both identities with € K and ao ≥ 0 , ak > 0 , Ŷk € K ( 1 ≤ k ≤ v ) as before . First , we prove that identity ( 2.14 ) is impossible over C or H , and the only case over R is where p = 1. From ( 2.14 ) it follows that ( 2.16 ) Σak 1 ...
both identities with € K and ao ≥ 0 , ak > 0 , Ŷk € K ( 1 ≤ k ≤ v ) as before . First , we prove that identity ( 2.14 ) is impossible over C or H , and the only case over R is where p = 1. From ( 2.14 ) it follows that ( 2.16 ) Σak 1 ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
CONTENTS | 27 |
1 Introduction | 117 |
Telif Hakkı | |
5 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 compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic implies inequality integral 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 transl true unique values vector vertex vertices zero