St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
83 sonuçtan 1-3 arası sonuçlar
Sayfa 19
... dimension formula ( 1.18 ) by using the orthogonal decomposition ( 4.5 ) → → PK ( m , p ) Harmg ( 0 ) Harmк ( 2 ) ... Harmy ( p ) , = which is classical in the real case and can be extended to the other two fields . Since in our ...
... dimension formula ( 1.18 ) by using the orthogonal decomposition ( 4.5 ) → → PK ( m , p ) Harmg ( 0 ) Harmк ( 2 ) ... Harmy ( p ) , = which is classical in the real case and can be extended to the other two fields . Since in our ...
Sayfa 347
... dimension of J does not exceed n - 2 . ΤΟ Suppose that fM is not injective . Let y E f ( M ' ) be a point with more than one preimage in M ' , and let x1 , x2 be two such preimages . Let Dr。( x1 ) , Dr。( x2 ) be balls centered at x ...
... dimension of J does not exceed n - 2 . ΤΟ Suppose that fM is not injective . Let y E f ( M ' ) be a point with more than one preimage in M ' , and let x1 , x2 be two such preimages . Let Dr。( x1 ) , Dr。( x2 ) be balls centered at x ...
Sayfa 423
... dimension n , the only “ new ” geodesics are the symmetric geodesics that pass along each of the 2n facets of K ... dimensions n = 3 , 4 , 5. This allowed us to use intuitive geometric methods . Already for n = 4 , it turned out that ...
... dimension n , the only “ new ” geodesics are the symmetric geodesics that pass along each of the 2n facets of K ... dimensions n = 3 , 4 , 5. This allowed us to use intuitive geometric methods . Already for n = 4 , it turned out that ...
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