St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
84 sonuçtan 1-3 arası sonuçlar
Sayfa 64
... implies 3 ) . The fact that 3 ) implies 1 ) is trivial ( simply take z = w ) . It remains to show that 1 ) implies 2 ) . First , we note that the function N is analytic in the open upper half - plane C + . Indeed , the function S ( z ) ...
... implies 3 ) . The fact that 3 ) implies 1 ) is trivial ( simply take z = w ) . It remains to show that 1 ) implies 2 ) . First , we note that the function N is analytic in the open upper half - plane C + . Indeed , the function S ( z ) ...
Sayfa 220
... implies part a ) with D = 23 - 1k : ( 4.7 ) -1 || W2ye || H223 - 1ke . -1 To prove part b ) , we proceed in a standard way . Define F : R2 x ( Ran ( T2 ) + H2 ) → ( Ran ( 2 ) L2 ) by ( 4.8 ) F1 ( z , w ) = πFe ( Vzy + w ) , where we ...
... implies part a ) with D = 23 - 1k : ( 4.7 ) -1 || W2ye || H223 - 1ke . -1 To prove part b ) , we proceed in a standard way . Define F : R2 x ( Ran ( T2 ) + H2 ) → ( Ran ( 2 ) L2 ) by ( 4.8 ) F1 ( z , w ) = πFe ( Vzy + w ) , where we ...
Sayfa 325
... implies the corresponding property of the BKN - equation over M. 5.4.2 . Solvability of the BKN - equation . Proposition 5.17 . Each of the properties ( VE ) and ( VF ) of a manifold M ≤ M implies that the BKN - equation over M has a ...
... implies the corresponding property of the BKN - equation over M. 5.4.2 . Solvability of the BKN - equation . Proposition 5.17 . Each of the properties ( VE ) and ( VF ) of a manifold M ≤ M implies that the BKN - equation over M has a ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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Sık kullanılan terimler ve kelime öbekleri
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