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87 sonuçtan 1-3 arası sonuçlar
Sayfa 349
Integral representations of Sobolev type are obtained for functions defined on the
Heisenberg group H ” . ... It is well known that integral representations of
functions defined on regions in Euclidean spaces have considerable application
to ...
Integral representations of Sobolev type are obtained for functions defined on the
Heisenberg group H ” . ... It is well known that integral representations of
functions defined on regions in Euclidean spaces have considerable application
to ...
Sayfa 361
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 V . I ...
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 V . I ...
Sayfa 372
The first term in the corresponding integral representation must be replaced by
the expression | Pk ( X , Y ; 4 ) f ( y ) dy , JΩ where Pk ( : , y ; 4 ) is a horizontal
polynomial of degree k – 1 , \ Pk ( x , y ; 4 ) | < C ( 1 , 6 ) , supp Pk ( x , ; 6 ) CB .
The first term in the corresponding integral representation must be replaced by
the expression | Pk ( X , Y ; 4 ) f ( y ) dy , JΩ where Pk ( : , y ; 4 ) is a horizontal
polynomial of degree k – 1 , \ Pk ( x , y ; 4 ) | < C ( 1 , 6 ) , supp Pk ( x , ; 6 ) CB .
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İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL loSPACES | 23 |
Dedicated to M Sh Birman on the occasion of his 75th birthday | 285 |
ABSTRACT The nonexistence of isometric embeddings em line with p q is proved | 296 |
Telif Hakkı | |
4 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
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 identity 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 Suppose surface symmetric Theorem theory transformation transl true unique values vector vertex vertices zero