St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
13 sonuçtan 1-3 arası sonuçlar
Sayfa 16
... locally , 2. Moreover , p is an even integer since the function ( 2.8 ) is real Now , let pq and ao 0. Then comparing ( 2.9 ) and ( 2.8 ) shows that p = 2 and q is an even integer . Our identity turns into ( 2.10 ) ( 1 + 5o ) 2 = [ w ...
... locally , 2. Moreover , p is an even integer since the function ( 2.8 ) is real Now , let pq and ao 0. Then comparing ( 2.9 ) and ( 2.8 ) shows that p = 2 and q is an even integer . Our identity turns into ( 2.10 ) ( 1 + 5o ) 2 = [ w ...
Sayfa 306
... locally splits along every maximal block M ,, i.e. , every point z M , has a neighborhood U2 CM , isometric to the metric product F2 × ( −ɛ , ɛ ) , where F2 is a surface of nonpositive Gaussian curvature . The splitting is naturally ...
... locally splits along every maximal block M ,, i.e. , every point z M , has a neighborhood U2 CM , isometric to the metric product F2 × ( −ɛ , ɛ ) , where F2 is a surface of nonpositive Gaussian curvature . The splitting is naturally ...
Sayfa 402
... locally , the mapping ƒ acts in accordance with the " equality of coordinates " rule 1 x1 , ... , x = xm for the corresponding points x and x = f ( x ) ( see [ 13 , p . 67 ] ) . In this case , we say that { x1 , ... , x } are f ...
... locally , the mapping ƒ acts in accordance with the " equality of coordinates " rule 1 x1 , ... , x = xm for the corresponding points x and x = f ( x ) ( see [ 13 , p . 67 ] ) . In this case , we say that { x1 , ... , x } are f ...
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