Determinants of Laplacians in real line bundles connected with quantum geometry of strings

1988 ◽  
Vol 16 (3) ◽  
pp. 263-268 ◽  
Author(s):  
Yu. P. Goncharov ◽  
B. L. Spokoiny
Keyword(s):  
Real Line ◽  
Line Bundles ◽  
Quantum Geometry ◽  
Determinants Of Laplacians

EVALUATION OF A CLASS OF THE LAPLACE OPERATOR DETERMINANTS CONNECTED WITH QUANTUM GEOMETRY OF p-BRANES

1991 ◽  
Vol 06 (08) ◽  
pp. 669-675 ◽  
Author(s):  
A.A. BYTSENKO ◽  
YU. P. GONCHAROV
Keyword(s):  
Laplace Operator ◽  
Trace Formula ◽  
Real Line ◽  
Line Bundles ◽  
Riemannian Surface ◽  
Quantum Geometry ◽  
Selberg Trace Formula ◽  
Riemannian Surfaces ◽  
Determinants Of Laplacians ◽  
The Laplace Operator

We evaluate the determinants of Laplacians acting in real line bundles over the manifolds Tp−1×H2/Γ, T=S1, H2/Γ is a compact Riemannian surface of genus g>1. Such determinants may be important in building quantum geometry of closed p-branes. The evaluation is based on the Selberg trace formula for compact Riemannian surfaces.

scholarly journals Real line bundles on spheres

1971 ◽  
Vol 27 (3) ◽  
pp. 579-579 ◽  
Author(s):  
Allan L. Edelson
Keyword(s):  
Real Line ◽  
Line Bundles

Approximation in statistical sense to B -continuous functions by positive linear operators

2010 ◽  
Vol 47 (3) ◽  
pp. 289-298 ◽  
Author(s):  
Fadime Dirik ◽  
Oktay Duman ◽  
Kamil Demirci
Keyword(s):  
Compact Subset ◽  
Real Line ◽  
Statistical Convergence ◽  
Approximation Theorem ◽  
Continuous Functions ◽  
Linear Operators ◽  
Positive Linear Operators ◽  
Statistical Approximation ◽  
Classical Version ◽  
Statistical Sense

In the present work, using the concept of A -statistical convergence for double real sequences, we obtain a statistical approximation theorem for sequences of positive linear operators defined on the space of all real valued B -continuous functions on a compact subset of the real line. Furthermore, we display an application which shows that our new result is stronger than its classical version.

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