St. Petersburg Mathematical Journal, 5. cilt,1-3. sayılarAmerican Mathematical Society, 1994 |
Kitabın içinden
81 sonuçtan 1-3 arası sonuçlar
Sayfa 82
... Hence it follows that C % e { ' DBQj [ Do ] / p1 } = e { ( ' DBp ̄2 ) Qi } = 1 020 ) ( recall that Q [ Do ] = p2Qi ) , and the sum under consideration can be written in the form y ( Qj , p2D1 , S2 ) = = Σ DEA \ ADm - 1,1 ^ , D'Do = 0 ...
... Hence it follows that C % e { ' DBQj [ Do ] / p1 } = e { ( ' DBp ̄2 ) Qi } = 1 020 ) ( recall that Q [ Do ] = p2Qi ) , and the sum under consideration can be written in the form y ( Qj , p2D1 , S2 ) = = Σ DEA \ ADm - 1,1 ^ , D'Do = 0 ...
Sayfa 199
... hence in the sum in ( 33 ) for every k Є Z the number r can assume at most two values . Now from ( 33 ) we see that if mn , then || PmAgPn || < constΣmax { \ ux ( s , t ) || s € [ 2âm , 2π ( m + 1 ) ] , t € [ 2 ′′ n , 2π ( n + 1 ) ...
... hence in the sum in ( 33 ) for every k Є Z the number r can assume at most two values . Now from ( 33 ) we see that if mn , then || PmAgPn || < constΣmax { \ ux ( s , t ) || s € [ 2âm , 2π ( m + 1 ) ] , t € [ 2 ′′ n , 2π ( n + 1 ) ...
Sayfa 221
... hence qF | > π / 2 . But this contradicts the extremality of F ( see 1.4.1 ) . ( 2 ) In this case also , Proposition 1.4 and Lemma 3.4 ( 2 ) permit us to apply induc- tion on the dimension ( with the evident base step ) . ( Note that if ...
... hence qF | > π / 2 . But this contradicts the extremality of F ( see 1.4.1 ) . ( 2 ) In this case also , Proposition 1.4 and Lemma 3.4 ( 2 ) permit us to apply induc- tion on the dimension ( with the evident base step ) . ( Note that if ...
İçindekiler
A N Andrianov Factorizations of integral representations of binary | 71 |
Bizhanova and V A Solonnikov Solvability of an initialboundary | 97 |
Birman and M Solomyak On the main singularities of the electric | 125 |
Telif Hakkı | |
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a₁ Aleksandrov arbitrary assume asymptotic automorphism b₁ Banach space bounded C₁ coefficients compact condition consider construct convex Corollary corresponding curve defined definition denote domain eigenvalues element English transl equation estimate exists extremal subset finite finite-dimensional Finsler metric formula Fuchsian group function f G₁ geodesic graph Hecke operators Hence homomorphism HP Rd identity implies inequality integral interpolation problem inverse isometry isomorphic Lemma Lie algebra linear LP Rd Math Mathematical Mathematics Subject Classification matrix neighborhood nonzero norm obtain polynomial positive number proof of Theorem properties Proposition prove R-tree Ramanujan graphs Rd+1 relation representation Riemann surface satisfying Selberg Selberg trace formula smooth solution space spectral subgroup subspace symmetry Theorem theory theta-series u₁ v₁ vector fields zeta-function