St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
50 sonuçtan 1-3 arası sonuçlar
Sayfa 10
... embeddings m → en , 1 ≤ p , qo , assuming p q and 2 < m ≤ n to avoid some trivial situations . It turns out that the existence of such embeddings is a special phenomenon . Theorem 1. If there exists an isometric embedding lm p = 2N ...
... embeddings m → en , 1 ≤ p , qo , assuming p q and 2 < m ≤ n to avoid some trivial situations . It turns out that the existence of such embeddings is a special phenomenon . Theorem 1. If there exists an isometric embedding lm p = 2N ...
Sayfa 12
... embeddings . For instance , a minimal isometric embedding 2 → 10 over H corresponds to a design described in [ 17 ] ( see Example 3 on p . 243 therein ) . - A number of isometric embeddings over C were found by König [ 19 ] , the ...
... embeddings . For instance , a minimal isometric embedding 2 → 10 over H corresponds to a design described in [ 17 ] ( see Example 3 on p . 243 therein ) . - A number of isometric embeddings over C were found by König [ 19 ] , the ...
Sayfa 14
... embedding m ← en over K does exist because all or belong to PK ( m , p ) . Conversely , the Fact formulated above implies the following statement . Lemma 2. Any isometric embedding l of index p . - In is generated by a cubature formula ...
... embedding m ← en over K does exist because all or belong to PK ( m , p ) . Conversely , the Fact formulated above implies the following statement . Lemma 2. Any isometric embedding l of index p . - In is generated by a cubature formula ...
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