St. Petersburg Mathematical Journal, 8. cilt,543-1051. sayfalarAmerican Mathematical Society, 1997 |
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59 sonuçtan 1-3 arası sonuçlar
Sayfa 804
... representation for the norm ( 1ED C1 | 2 ( w ) 1 · | I | ) 1 / 2 ̧ Consider the functions Since , clearly , = ∞ fk = Σ CIXI . IЄD : | I | = 2k Σ | cr | 2 ( w ) , · I = Σ || fk || { 2 ( w ) ; 1 · \ I \ IED ∞ k = -x we get a natural ...
... representation for the norm ( 1ED C1 | 2 ( w ) 1 · | I | ) 1 / 2 ̧ Consider the functions Since , clearly , = ∞ fk = Σ CIXI . IЄD : | I | = 2k Σ | cr | 2 ( w ) , · I = Σ || fk || { 2 ( w ) ; 1 · \ I \ IED ∞ k = -x we get a natural ...
Sayfa 1007
... representations of Ao ( Rm ) ; 2 ) any irreducible representation of Аo ( Rm ) is equivalent to one of the representations π ( , ) , T ( X ) , and ( 0 ) . Proof . Repeating the argument before Proposition 3.7 , we see that the action of ...
... representations of Ao ( Rm ) ; 2 ) any irreducible representation of Аo ( Rm ) is equivalent to one of the representations π ( , ) , T ( X ) , and ( 0 ) . Proof . Repeating the argument before Proposition 3.7 , we see that the action of ...
Sayfa 1009
... representation of A。( A ) in a Hilbert space H , and let H1 CH be the orthogonal complement of Ker p ( x ) , x € C ... representation of Ao ( v ( V ) ) in H1 . By the theorem on extensions of representations ( see [ 1 , Subsection 2.10 ...
... representation of A。( A ) in a Hilbert space H , and let H1 CH be the orthogonal complement of Ker p ( x ) , x € C ... representation of Ao ( v ( V ) ) in H1 . By the theorem on extensions of representations ( see [ 1 , Subsection 2.10 ...
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algebra arbitrary assume asymptotic B₁ Bellman function boundary bounded Calderón-Zygmund coefficient space condition configuration constant converges Corollary corresponding curve deduce defined definition denote Dirichlet domain dyadic element elliptic embedding theorem English transl equation equivalent estimate finite fixed follows formula function f H₁ Hecke operators Hilbert Hilbert space Hölder Hölder continuous homogeneous homomorphism implies inequality inner function integral interval isomorphism kernel Lemma linear mapping Math Mathematical Mathematics Subject Classification matrix monodromy group multiplicity nonsingular norm obtain PDO's piecewise smooth piecewise smooth metric Poincaré metric polynomial positive problem Proposition prove quadratic forms relation representation respectively result right-hand side satisfying scalar selfadjoint sequence signed curvature measure singular solution Subsection subspace suffices symmetric Theorem theta-functions theta-series variables vector weight whence Y₁ zero