St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
82 sonuçtan 1-3 arası sonuçlar
Sayfa 317
... Lemma 5.1 . By that lemma , there is a class l , Є H1 ( M ,; R ) such that i luu for all w Ov . Since lw ( f - w ) = sign ( bw ) waw + and w≤ 1 , for the vertex v ' w we have ( f - w ) ≤ av ' = l_w ( f - w ) . Assume that l - w ( fw ) ...
... Lemma 5.1 . By that lemma , there is a class l , Є H1 ( M ,; R ) such that i luu for all w Ov . Since lw ( f - w ) = sign ( bw ) waw + and w≤ 1 , for the vertex v ' w we have ( f - w ) ≤ av ' = l_w ( f - w ) . Assume that l - w ( fw ) ...
Sayfa 329
... Lemma 5.18 ( Ascent lemma ) is Theorem 2.3 in [ RW ] , where the authors used this result to give an example showing that a horizontal immersion of a closed surface in a graph - manifold may fail to be a virtual embedding . In [ Sv1 ] ...
... Lemma 5.18 ( Ascent lemma ) is Theorem 2.3 in [ RW ] , where the authors used this result to give an example showing that a horizontal immersion of a closed surface in a graph - manifold may fail to be a virtual embedding . In [ Sv1 ] ...
Sayfa 345
... lemma is proved . We use the following known result ( for its proof , see , e.g. , [ BI ] ) . Lemma 6. Let ( V , || · || ) be an n - dimensional Banach space , let F be the unit sphere of the norm , and let F * be the set of linear ...
... lemma is proved . We use the following known result ( for its proof , see , e.g. , [ BI ] ) . Lemma 6. Let ( V , || · || ) be an n - dimensional Banach space , let F be the unit sphere of the norm , and let F * be the set of linear ...
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