St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
29 sonuçtan 1-3 arası sonuçlar
Sayfa 14
... subspace of the same dimension . So far we have focused on how the cubature formulas lead to isometric embeddings ... subspace of X. Thus , all results mentioned above admit an immediate reformulation in terms of Euclidean subspaces of n ...
... subspace of the same dimension . So far we have focused on how the cubature formulas lead to isometric embeddings ... subspace of X. Thus , all results mentioned above admit an immediate reformulation in terms of Euclidean subspaces of n ...
Sayfa 27
... subspace of the Sobolev L2 - space H1 ( N ) 4 ; this subspace consists of all functions satisfying the homogeneous boundary condition ( 7 ) with g = 0 and is denoted by H1 ( 0 , B ) 4 . The operator ( D + V ) acts boundedly from this ...
... subspace of the Sobolev L2 - space H1 ( N ) 4 ; this subspace consists of all functions satisfying the homogeneous boundary condition ( 7 ) with g = 0 and is denoted by H1 ( 0 , B ) 4 . The operator ( D + V ) acts boundedly from this ...
Sayfa 55
... subspace . The sum of these two mutually orthogonal subspaces is L2 ( T ) 2 . There is no uniqueness : any finite set of eigenspaces can be attributed arbitrarily to any of these two subspaces . If u is an eigenfunction of Q , then vt ...
... subspace . The sum of these two mutually orthogonal subspaces is L2 ( T ) 2 . There is no uniqueness : any finite set of eigenspaces can be attributed arbitrarily to any of these two subspaces . If u is an eigenfunction of Q , then vt ...
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