St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
84 sonuçtan 1-3 arası sonuçlar
Sayfa 39
For functions defined on R3 , we denote by P the operator of restriction to N ; next , by P * we denote the operator of extension of functions defined on N to the entire R3 by zero outside N ( above , these operators were used ...
For functions defined on R3 , we denote by P the operator of restriction to N ; next , by P * we denote the operator of extension of functions defined on N to the entire R3 by zero outside N ( above , these operators were used ...
Sayfa 40
... defined on H1 / 2 ( 0 ) 4 , but it extends to a bounded operator on H ° ( N ) by the formula ( 3.10 ) ( cf. ( 2.18 ) ... defined on functions on N that lie in the domain of | V | 1/2 ; the second and the third operators are defined on ...
... defined on H1 / 2 ( 0 ) 4 , but it extends to a bounded operator on H ° ( N ) by the formula ( 3.10 ) ( cf. ( 2.18 ) ... defined on functions on N that lie in the domain of | V | 1/2 ; the second and the third operators are defined on ...
Sayfa 152
... defined via its ( quasi ) norm where r > s and f ; dt t \\ / \ ; : = { \\ / \ + / ( w + ( t ; ƒ : Lp ) " # } } . A ... defined by formula ( 2.31 ) where the infimum is taken over all expansions ( 2.30 ) with convergence in the sense of ...
... defined via its ( quasi ) norm where r > s and f ; dt t \\ / \ ; : = { \\ / \ + / ( w + ( t ; ƒ : Lp ) " # } } . A ... defined by formula ( 2.31 ) where the infimum is taken over all expansions ( 2.30 ) with convergence in the sense of ...
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