St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
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84 sonuçtan 1-3 arası sonuçlar
Sayfa 351
... respect to the Heisenberg metric , which is equal to 2n + 2 . The family of mappings dt : ( x ' , x " , x2n + 1 ) H ... respect to the norm || f || w ( n ) . The spaces L * ( N ) , V ( N ) , Wq , p ( N ) , and Vq , p ( N ) are defined in ...
... respect to the Heisenberg metric , which is equal to 2n + 2 . The family of mappings dt : ( x ' , x " , x2n + 1 ) H ... respect to the norm || f || w ( n ) . The spaces L * ( N ) , V ( N ) , Wq , p ( N ) , and Vq , p ( N ) are defined in ...
Sayfa 354
... respect to a1 from 0 to 27 , with respect to a¿ from 0 to π , i = 2 , ... , 2n − 1 , and with respect to ẞ from -∞ to ∞o , we get - f ( xo ) [ P ( Vz 。( r , ã , § ) det ( Dvz 。( r , ā , 3 ) ) drđād3 = ( ӘФ af + Φ Ər drdad3 . Ər a03 ...
... respect to a1 from 0 to 27 , with respect to a¿ from 0 to π , i = 2 , ... , 2n − 1 , and with respect to ẞ from -∞ to ∞o , we get - f ( xo ) [ P ( Vz 。( r , ã , § ) det ( Dvz 。( r , ā , 3 ) ) drđād3 = ( ӘФ af + Φ Ər drdad3 . Ər a03 ...
Sayfa 363
... respect to z . Fur- thermore , for each multiindex a such that | a | h = 1 , we have Xa K ... ( x , z ) ≤ C | z | −v + 8 , where s > 0 . The proof of Lemma 4 is similar to that of Proposition 1 in Subsection 1.1 . 1.3 . On some ...
... respect to z . Fur- thermore , for each multiindex a such that | a | h = 1 , we have Xa K ... ( x , z ) ≤ C | z | −v + 8 , where s > 0 . The proof of Lemma 4 is similar to that of Proposition 1 in Subsection 1.1 . 1.3 . On some ...
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