## Functiones et Approximatio Commentarii Mathematici

- Funct. Approx. Comment. Math.
- Volume 28 (2000), 7-18.

### On spectral large sieve inequalities

#### Abstract

The spectral large sieve inequality due to H. Iwaniec, that is an estimate for the mean square over a spectral interval of a linear form in the Fourier coefficients of Maass wave forms is reported by use of a formula of Y. Motohashi and the “hybrid” large sieve inequality. Then the result is generalized to the case, where the coefficients of the linear form may depend on the respective eigenvalue of the hyperbolic Laplacian, and also on a well-spaced set of points.

#### Note

Dedicated to Włodzimierz Staś on the occasion of his 75th birthday

#### Article information

**Source**

Funct. Approx. Comment. Math., Volume 28 (2000), 7-18.

**Dates**

First available in Project Euclid: 29 September 2018

**Permanent link to this document**

https://projecteuclid.org/euclid.facm/1538186680

**Digital Object Identifier**

doi:10.7169/facm/1538186680

**Mathematical Reviews number (MathSciNet)**

MR1823989

**Zentralblatt MATH identifier**

1007.11027

**Subjects**

Primary: llF30

Secondary: l1F72

**Keywords**

spectral theory large sieve

#### Citation

Jutila, Matti. On spectral large sieve inequalities. Funct. Approx. Comment. Math. 28 (2000), 7--18. doi:10.7169/facm/1538186680. https://projecteuclid.org/euclid.facm/1538186680