St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
15 sonuçtan 1-3 arası sonuçlar
Sayfa 271
... Lipschitz graphs ( without common points ) for K and K ' . In this case c ( T ) will depend on the Lipschitz constants of these graphs in the long run . Proof ( reduction to Lemma 4 ) . We deduce ( 30 ) from ( 4 ) with a special choice ...
... Lipschitz graphs ( without common points ) for K and K ' . In this case c ( T ) will depend on the Lipschitz constants of these graphs in the long run . Proof ( reduction to Lemma 4 ) . We deduce ( 30 ) from ( 4 ) with a special choice ...
Sayfa 273
... Lipschitz constant for 1 and 2 ( by Lemma 6 ) ; the cells gy are uniformly rotund . It remains to apply Theorem 2 to the families ( Ky ) o < y≤b and ( K ) 0 < y < b 3.4.2 . This time , our Lipschitz functions 1 and 2 ( defined on [ 0 ...
... Lipschitz constant for 1 and 2 ( by Lemma 6 ) ; the cells gy are uniformly rotund . It remains to apply Theorem 2 to the families ( Ky ) o < y≤b and ( K ) 0 < y < b 3.4.2 . This time , our Lipschitz functions 1 and 2 ( defined on [ 0 ...
Sayfa 343
... Lipschitz ; ( 3 ) f induces an isomorphism between the corresponding fundamental groups . We start with several ... Lipschitz with Lipschitz constant 1 ; 2 ) BL ( x + k ) = BL ( x ) + L ( k ) for every x Є M , k Є г. Proof . Indeed , let ...
... Lipschitz ; ( 3 ) f induces an isomorphism between the corresponding fundamental groups . We start with several ... Lipschitz with Lipschitz constant 1 ; 2 ) BL ( x + k ) = BL ( x ) + L ( k ) for every x Є M , k Є г. Proof . Indeed , let ...
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