St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
26 sonuçtan 1-3 arası sonuçlar
Sayfa 13
... homogeneous polynomials of degree p on Rm . The Carathéodory's theorem based approach to the complex and quaternion cases in Theorem B also requires to treat A ( m , p ) as the dimension of a relevant polynomial space . In the complex ...
... homogeneous polynomials of degree p on Rm . The Carathéodory's theorem based approach to the complex and quaternion cases in Theorem B also requires to treat A ( m , p ) as the dimension of a relevant polynomial space . In the complex ...
Sayfa 360
... homogeneous of degree -v + 1 , and the functions Xj + n sgn ( n − j ) △ K ( x ) are homogeneous of degree − +2 , we see that Jau , Vndo = 0. Finally , −v ↓ [ X , K ) ( y ) dy = 0 . It remains to use the fact that the function X , K ...
... homogeneous of degree -v + 1 , and the functions Xj + n sgn ( n − j ) △ K ( x ) are homogeneous of degree − +2 , we see that Jau , Vndo = 0. Finally , −v ↓ [ X , K ) ( y ) dy = 0 . It remains to use the fact that the function X , K ...
Sayfa 374
... homogeneous groups , Trudy Inst . Mat . , vol . 14 , Akad . Nauk SSSR Sib . Otd . Inst . Mat . , " Nauka " , Novosibirsk , 1989 , pp . 45-89 . ( Russian ) MR1040483 ( 911 : 46033 ) [ 51 ] [ 52 ] [ 53 ] " Weighted Lp potential theory on ...
... homogeneous groups , Trudy Inst . Mat . , vol . 14 , Akad . Nauk SSSR Sib . Otd . Inst . Mat . , " Nauka " , Novosibirsk , 1989 , pp . 45-89 . ( Russian ) MR1040483 ( 911 : 46033 ) [ 51 ] [ 52 ] [ 53 ] " Weighted Lp potential theory on ...
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