We present explicit estimates for the growth of sine-type-functions as well as for the derivatives at their zero sets, thus obtaining explicit constants in a result of Levin. The estimates are then used to derive explicit lower bounds for exponential Riesz bases, as they arise in Avdonin’s Theorem on 1/4 in the mean or in a Theorem of Bogmér, Horváth, Joó and Seip. An application is discussed, ...

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Berardinelli-Seip congenital generalised lipodystrophy (BSCGL) is an extremely rare autosomal recessive disorder characterised by congenital absence of functional adipocytes causing lipoatrophy, dyslipidemia and fat maldistribution [1]. Fat deposited in liver, heart and muscle result in stetosis-induced cirrhosis, cardiac failure, insulin resistance and diabetes mellitus. We report two addition...

In this paper, we comment on the complexity of the invariant subspaces (under the bilateral Dirichlet shift f → ζf ) of the harmonic Dirichlet space D. Using the sampling theory of Seip and some work on invariant subspaces of Bergman spaces, we will give examples of invariant subspaces F ⊂ D with dim(F /ζF ) = n, n ∈ N ∪ {∞}. We will also generalize this to the Dirichlet classes Dα, 0 < α < ∞, ...

Abstract We exhibit large values of the Dedekind zeta function a cyclotomic field on critical line. This implies dichotomy whereby one either has improved lower bounds for maximum Riemann function, or Dirichlet ‐functions level Bondarenko–Seip bound.

Abstract We show that certain monotone functionals on the Hardy spaces and convex Bergman are maximized at normalized reproducing kernels among functions of norm 1, thus proving contractivity conjecture Pavlovi? Brevig, Ortega-Cerdà, Seip Zhao Wehrl-type entropy for SU (1, 1) group Lieb Solovej, respectively.