St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
82 sonuçtan 1-3 arası sonuçlar
Sayfa 349
... INTEGRAL REPRESENTATIONS AND EMBEDDING THEOREMS FOR FUNCTIONS DEFINED ON THE HEISENBERG GROUPS H " N. N. ROMANOVSKIŤ ABSTRACT . Integral representations of Sobolev type are obtained for functions de- fined on the Heisenberg group H ...
... INTEGRAL REPRESENTATIONS AND EMBEDDING THEOREMS FOR FUNCTIONS DEFINED ON THE HEISENBERG GROUPS H " N. N. ROMANOVSKIŤ ABSTRACT . Integral representations of Sobolev type are obtained for functions de- fined on the Heisenberg group H ...
Sayfa 361
1.2 . Integral representations by horizontal derivatives of arbitrary order for functions on regions in Heisenberg groups . In this section , we modify the method of obtaining integral representations developed by Yu . G. Reshetnyak and ...
1.2 . Integral representations by horizontal derivatives of arbitrary order for functions on regions in Heisenberg groups . In this section , we modify the method of obtaining integral representations developed by Yu . G. Reshetnyak and ...
Sayfa 372
... integrals and differentiability properties of functions , Princeton Math . Ser . , vol . 30 , Princeton Univ . Press , Princeton , NJ , 1970. MR0290095 ( 44 : 7280 ) [ 5 ] O. V. Besov , V. P. Il'in , and S. M. Nikol'skii , Integral ...
... integrals and differentiability properties of functions , Princeton Math . Ser . , vol . 30 , Princeton Univ . Press , Princeton , NJ , 1970. MR0290095 ( 44 : 7280 ) [ 5 ] O. V. Besov , V. P. Il'in , and S. M. Nikol'skii , Integral ...
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