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ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL lpSPACES
Dedicated to M Sh Birman on the occasion of his 75th birthday
ABSTRACT The nonexistence of isometric embeddings en en with p + q is proved
4 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients collection compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding English equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic implies inequality integral introduce invertible Lemma linear manifold Math Mathematical matrix monodromy Moreover norm obtain operator oriented pair particular periodic polynomial positive potential present problem proof properties Proposition prove rational relation Remark representation respect result satisfies selfadjoint separation singular smooth solution space spectral spectrum statement Subsection sufficiently supp Suppose surface symmetric Theorem theory transformation transl true unique values vector vertex vertices zero