St. Petersburg Mathematical Journal, 5. cilt,1-3. sayılarAmerican Mathematical Society, 1994 |
Kitabın içinden
74 sonuçtan 1-3 arası sonuçlar
Sayfa 419
... FORMULA , RAMANUJAN GRAPHS , AND SOME PROBLEMS OF MATHEMATICAL PHYSICS A. B. VENKOV AND A. M. NIKITIN ABSTRACT . The Selberg trace formula for a tree is applied to examining the Ihara zeta- function . The construction of A. Pizer ...
... FORMULA , RAMANUJAN GRAPHS , AND SOME PROBLEMS OF MATHEMATICAL PHYSICS A. B. VENKOV AND A. M. NIKITIN ABSTRACT . The Selberg trace formula for a tree is applied to examining the Ihara zeta- function . The construction of A. Pizer ...
Sayfa 552
... formula ( 3.1 ) . Taking into account the duality relation ( f * ) ; f , we obtain an explicit formula for the measure in ( 3.1 ) : = d1Y = tmn / 2dY . = H ( 3.18 ) If vp ( t ) B≥ 0 , we put a = 0 in ( 3.16 ) and make the substitution ...
... formula ( 3.1 ) . Taking into account the duality relation ( f * ) ; f , we obtain an explicit formula for the measure in ( 3.1 ) : = d1Y = tmn / 2dY . = H ( 3.18 ) If vp ( t ) B≥ 0 , we put a = 0 in ( 3.16 ) and make the substitution ...
Sayfa 567
... Formulas ( 6.22 ) were proved in [ 6 , p . 426 ] , and the first formula of ( 6.23 ) was proved in [ 3 , p . 295 ] . As for the second formula , we note that the following recurrence formula can be extracted from the proof of Lemma 7.1 ...
... Formulas ( 6.22 ) were proved in [ 6 , p . 426 ] , and the first formula of ( 6.23 ) was proved in [ 3 , p . 295 ] . As for the second formula , we note that the following recurrence formula can be extracted from the proof of Lemma 7.1 ...
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 | |
8 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
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