St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
62 sonuçtan 1-3 arası sonuçlar
Sayfa 361
... representation in N ' : 2n ( 1.22 ) f ( x ) = √ Px ( x , y ) f ( y ) dy + Jo Σ Ki ... ik ( x , y ) Xi1 ... Xix f ( y ) dy , i1 , ... , ik = 1 - where x ' , Pk ( , y ) is a horizontal polynomial of order k 1 such that supp Pk ( x ...
... representation in N ' : 2n ( 1.22 ) f ( x ) = √ Px ( x , y ) f ( y ) dy + Jo Σ Ki ... ik ( x , y ) Xi1 ... Xix f ( y ) dy , i1 , ... , ik = 1 - where x ' , Pk ( , y ) is a horizontal polynomial of order k 1 such that supp Pk ( x ...
Sayfa 362
... representation ( 1.24 ) we obtain an integral representation of ƒ in terms of horizontal derivatives of order ( k + 1 ) . Estimates ( 1.23 ) for the kernel in the latter integral representation easily follow from ( 1.25 ) . Lemma 4. The ...
... representation ( 1.24 ) we obtain an integral representation of ƒ in terms of horizontal derivatives of order ( k + 1 ) . Estimates ( 1.23 ) for the kernel in the latter integral representation easily follow from ( 1.25 ) . Lemma 4. The ...
Sayfa 372
... representations of differentiable functions , Sibirsk . Mat . Zh . 12 ( 1971 ) , no . 2 , 420-432 ; English transl . , Siberian Math . J. 12 ( 1971 ) , 299–307 . MR0284807 ( 44 : 2031 ) [ 15 ] S. V. Uspenskii , The representation of ...
... representations of differentiable functions , Sibirsk . Mat . Zh . 12 ( 1971 ) , no . 2 , 420-432 ; English transl . , Siberian Math . J. 12 ( 1971 ) , 299–307 . MR0284807 ( 44 : 2031 ) [ 15 ] S. V. Uspenskii , The representation of ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
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