St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
43 sonuçtan 1-3 arası sonuçlar
Sayfa 35
... smooth function with support inside \ { 0 } we have ( 2.9 ) ( D + V ) R3 ( · ) = ( D + & V ) 2 ( 4 ) , where is another smooth function having support inside \ { 0 } and equal to 1 in a neighborhood of supp . Now let functions j , j = 1 ...
... smooth function with support inside \ { 0 } we have ( 2.9 ) ( D + V ) R3 ( · ) = ( D + & V ) 2 ( 4 ) , where is another smooth function having support inside \ { 0 } and equal to 1 in a neighborhood of supp . Now let functions j , j = 1 ...
Sayfa 48
... smooth and system ( 7.3 ) had neither degeneration nor singularity . Assuming the function u to be smooth and vanishing at the boundary , we take the inner product of the left - hand side of ( 7.3 ) with u and integrate over ...
... smooth and system ( 7.3 ) had neither degeneration nor singularity . Assuming the function u to be smooth and vanishing at the boundary , we take the inner product of the left - hand side of ( 7.3 ) with u and integrate over ...
Sayfa 402
... smooth mapping ƒ : M → M. The differential f .: TM TM of ƒ is a section df of the tensor vector bundle T * M f - 1 ( TM ) , where ƒ − 1 ( TM ) x = Tƒ ( x ) M at each point ≈ Є M. → For a relatively compact open subset NC M , the ...
... smooth mapping ƒ : M → M. The differential f .: TM TM of ƒ is a section df of the tensor vector bundle T * M f - 1 ( TM ) , where ƒ − 1 ( TM ) x = Tƒ ( x ) M at each point ≈ Є M. → For a relatively compact open subset NC M , the ...
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