St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
64 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 embedding m ...
... 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 embedding m ...
Sayfa 11
... identity ( 1.6 ) n Σ ( uk , x ) | P = ( x , x ) / 2 , rel ” . k = 1 Proof . The identity ( 1.6 ) means precisely that || fx || = |||| 2 , in view of ( 1.1 ) and ( 1.5 ) . An important equivalent version of the basic identity follows ...
... identity ( 1.6 ) n Σ ( uk , x ) | P = ( x , x ) / 2 , rel ” . k = 1 Proof . The identity ( 1.6 ) means precisely that || fx || = |||| 2 , in view of ( 1.1 ) and ( 1.5 ) . An important equivalent version of the basic identity follows ...
Sayfa 17
both identities with € K and ao ≥ 0 , ak > 0 , k € 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 ) k = 1 ...
both identities with € K and ao ≥ 0 , ak > 0 , k € 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 ) k = 1 ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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analytic approximation assume asymptotic Birman BKN-equation bounded C(zIm coefficients cohomology classes compatible components constant corresponding defined denote diffeomorphism Dirac operator domain edge eigenvalues embedding English transl estimate Euler characteristic exists finite formula geodesic graph graph-manifold harmonic Hilbert space holomorphic implies inequality integral invertible isometric K₁ kernel Lemma length function linear Math matrix matrix-valued function maximal blocks meromorphic monodromy nonzero norm NPC-solution obtain oriented Painlevé equations pair paper polynomial positive potential problem proof of Theorem properties Proposition prove rational refinable function relation representation respect result Riemann-Hilbert Riemann-Hilbert problem Riemannian manifold S₁ satisfies Schrödinger operator Seifert fibered space self-affine selfadjoint selfadjoint operators singular Sobolev Sobolev spaces solution spectrum Subsection subspace supp Suppose symmetric Theorem Theorem 3.1 theory torus vector vertex vertices zero