St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
49 sonuçtan 1-3 arası sonuçlar
Sayfa 16
... whence q = p , the case excluded from the very beginning . Finally , let α = 0. Then q = 2 again , and do - ( 2.11 ) ν Σak ( 1 + 2λkS + ak ( 1 + 2 λk 5 + μk S2 ) 5 μk S2 ) 5 = ( 1 + ( 2 ) 5 . k = 1 Since the local analyticity argument ...
... whence q = p , the case excluded from the very beginning . Finally , let α = 0. Then q = 2 again , and do - ( 2.11 ) ν Σak ( 1 + 2λkS + ak ( 1 + 2 λk 5 + μk S2 ) 5 μk S2 ) 5 = ( 1 + ( 2 ) 5 . k = 1 Since the local analyticity argument ...
Sayfa 72
... whence G + ( G + u ) = G_ ( G + u ) . = Since Gu = G_u , we obtain Gu = G2u . By induction , we conclude that Gu Gu for all k , and therefore MC E. Thus , the condition ( 2.26 ) E = ker ( G - G ) = { 0 } + k = 0 is necessary and ...
... whence G + ( G + u ) = G_ ( G + u ) . = Since Gu = G_u , we obtain Gu = G2u . By induction , we conclude that Gu Gu for all k , and therefore MC E. Thus , the condition ( 2.26 ) E = ker ( G - G ) = { 0 } + k = 0 is necessary and ...
Sayfa 317
... whence we see that the collection of classes { lw : w Ov } satisfies the conditions of Lemma 5.1 . By that lemma , there is a class l , Є H1 ( M ,; R ) such that i luu for all w Ov . Since lw ( f - w ) = sign ( bw ) waw + and w≤ 1 ...
... whence we see that the collection of classes { lw : w Ov } satisfies the conditions of Lemma 5.1 . By that lemma , there is a class l , Є H1 ( M ,; R ) such that i luu for all w Ov . Since lw ( f - w ) = sign ( bw ) waw + and w≤ 1 ...
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