42 citations · 148 across the 13 of their papers we have counts for
15 papers
A Painlevé equation for the Hörmander-Bernhardsson constant
Friedrich Littmann
The Hörmander-Bernhardsson constant is the sharp constant in for entire functions of exponential type . We prove that $\mathscr…
Monotone extremal functions and the weighted Hilbert's inequality
Emanuel Carneiro, Friedrich Littmann
In this note we find optimal one-sided majorants of exponential type for the signum function subject to certain monotonicity conditions. As an application, we use these special fun…
Concentration inequalities for Paley-Wiener spaces
Syed Husain, Friedrich Littmann
This article considers the question of how much of the mass of an element in a Paley-Wiener space can be concentracted on a given set. We seek bounds in terms of relative densities…
Weighted uniform convergence of entire Grünwald operators on the real line
Friedrich Littmann, Mark Spanier
We consider weighted uniform convergence of entire analogues of the Grünwald operator on the real line. The main result deals with convergence of entire interpolations of exponenti…
Conjugate Phase Retrieval in Paley-Wiener Space
Chun-Kit Lai, Friedrich Littmann, Eric Weber
We consider the problem of conjugate phase retrieval in Paley-Wiener space . The goal of conjugate phase retrieval is to recover a signal from the magnitudes of linear me…
Mean convergence of entire interpolations in weighted space
Felipe Gonçalves, Friedrich Littmann
We investigate the convergence of entire Lagrange interpolations and of Hermite interpolations of exponential type in weighted -spaces on the real line. The weights are recipr…
Extremal Signatures
Friedrich Littmann, Mark Spanier
Let be a Hermite-Biehler entire function of exponential type where and are real entire, and consider . We show that the sign of the p…
Interpolation Formulas With Derivatives in De Branges Spaces II
Felipe Gonçalves, Friedrich Littmann
We investigate necessary and sufficient conditions under which entire functions in de Branges spaces can be recovered from function values and values of derivatives. Our main focus…
Extremal functions in de Branges and Euclidean spaces II
Emanuel Carneiro, Friedrich Littmann
This paper presents the Gaussian subordination framework to generate optimal one-sided approximations to multidimensional real-valued functions by functions of prescribed exponenti…
Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function
Emanuel Carneiro, Vorrapan Chandee, Friedrich Littmann +1
Montgomery's pair correlation conjecture predicts the asymptotic behavior of the function defined to be the number of pairs and of ordinates of nontrivial zeros o…
Extremal functions in de Branges and Euclidean spaces
Emanuel Carneiro, Friedrich Littmann
In this work we obtain optimal majorants and minorants of exponential type for a wide class of radial functions on . These extremal functions minimize the $L^1(\mathb…
Extremal functions with vanishing condition
Friedrich Littmann, Mark Spanier
We determine the optimal majorant and minorant of exponential type for the truncation of with respect to general de Branges measures. We prove…
Entire approximations for a class of truncated and odd functions
Emanuel Carneiro, Friedrich Littmann
We solve the problem of finding optimal entire approximations of prescribed exponential type (unrestricted, majorant and minorant) for a class of truncated and odd functions with a…
Bandlimited approximations to the truncated Gaussian and applications
Emanuel Carneiro, Friedrich Littmann
In this paper we extend the theory of optimal approximations of functions in the -metric by entire functions of prescribed exponential type (bandlimited fun…
Gaussian Subordination for the Beurling-Selberg Extremal Problem
Emanuel Carneiro, Friedrich Littmann, Jeffrey D. Vaaler
We determine extremal entire functions for the problem of majorizing, minorizing, and approximating the Gaussian function by entire functions of exponential type. This…