Fourier expansion along geodesics on Riemann surfaces

Anton Deitmar

Displaying similar documents to “Fourier expansion along geodesics on Riemann surfaces”

Global $L$ -packets for GSp(2) and theta lifts.

Roberts, Brooks (2001)

Documenta Mathematica

Similarity:

The remainder term in Fourier series and its relationship with the Basel problem.

Barrera-Figueroa, V., Lucas-Bravo, A., López-Bonilla, J. (2007)

Annales Mathematicae et Informaticae

Similarity:

Riemann-Hilbert problem and solvability of differential equations.

Yoshino, M. (2003)

Rendiconti del Seminario Matematico

Similarity:

An application of the Fourier transform to optimization of continuous 2-D systems

Vitali Dymkou, Michael Dymkov (2003)

International Journal of Applied Mathematics and Computer Science

Similarity:

This paper uses the theory of entire functions to study the linear quadratic optimization problem for a class of continuous 2D systems. We show that in some cases optimal control can be given by an analytical formula. A simple method is also proposed to find an approximate solution with preassigned accuracy. Some application to the 1D optimization problem is presented, too. The obtained results form a theoretical background for the design problem of optimal controllers for relevant processes. ...

Solving some problems of advanced analytical nature posed in the SIAM Review. II.

Grosjean, Carl C. (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Similarity:

On pairs of closed geodesics on hyperbolic surfaces

Nigel J. E. Pitt (1999)

Annales de l'institut Fourier

Similarity:

In this article we prove a trace formula for double sums over totally hyperbolic Fuchsian groups $Γ$ . This links the intersection angles and common perpendiculars of pairs of closed geodesics on $Γ / H$ with the inner products of squares of absolute values of eigenfunctions of the hyperbolic laplacian $Δ$ . We then extract quantitative results about the intersection angles and common perpendiculars of these geodesics both on average and individually.

On spectral properties of the Laplace operator via boundary perturbation.

Khelifi, Abdessatar (2007)

Applied Mathematics E-Notes [electronic only]

Similarity:

Stabilization of periods of Eisenstein series and Bessel distributions on $G L (3)$ relative to $U (3)$ .

Lapid, Erez, Rogawski, Jonathan (2000)

Documenta Mathematica

Similarity:

Invariant subspaces for polynomially compact almost superdiagonal operators on $l (p_{i})$ .

Grainger, Arthur D. (2003)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Modular forms of weight 1/2 over class number 1 imaginary quadratic number fields

David Gove (1993)

Acta Arithmetica

Similarity:

On effective determination of symmetric-square lifts

Qingfeng Sun (2014)

Open Mathematics

Similarity:

Let F be the symmetric-square lift with Laplace eigenvalue λ F (Δ) = 1+4µ2. Suppose that |µ| ≤ Λ. We show that F is uniquely determined by the central values of Rankin-Selberg L-functions L(s, F ⋇ h), where h runs over the set of holomorphic Hecke eigen cusp forms of weight κ ≡ 0 (mod 4) with κ≍ϱ+ɛ, t9 = max {4(1+4θ)/(1−18θ), 8(2−9θ)/3(1−18θ)} for any 0 ≤ θ < 1/18 and any ∈ > 0. Here θ is the exponent towards the Ramanujan conjecture for GL2 Maass forms.