Browsing Institutt for matematiske fag by Journals "Proceedings of the American Mathematical Society"
Now showing items 1-11 of 11
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A Lichnerowicz estimate for the spectral gap of a sub-Laplacian
(Journal article; Peer reviewed, 2019)Abstract: For a second order operator on a compact manifold satisfying the strong Hörmander condition, we give a bound for the spectral gap analogous to the Lichnerowicz estimate for the Laplacian of a Riemannian manifold. ... -
Coefficient estimates for $H^p$ spaces with $0<p<1$
(Peer reviewed; Journal article, 2020)Let C(k,p) denote the smallest real number such that the estimate |ak| ≤C(k,p)‖f‖Hp holds for every f(z) =∑n≥0anzn in the Hp space of the unit disc. We compute C(2,p)for0<p<1andC(3,2/3), and identify the functions attaining ... -
COMPOSITION OPERATORS AND GENERALIZED PRIMES
(Peer reviewed; Journal article, 2023) -
A direct construction of a full family of Whitham solitary waves
(Peer reviewed; Journal article, 2022)Starting with the periodic waves earlier constructed for the gravity Whitham equation, we parameterise the solution curves through relative wave height, and use a limiting argument to obtain a full family of solitary waves. ... -
Exact large ideals of B(G) are downward directed.
(Journal article; Peer reviewed, 2016)We prove that if E and F are large ideals of B(G) for which the associated coaction functors are exact, then the same is true for E∩F. We also give an example of a coaction functor whose restriction to the maximal coactions ... -
Exposing boundary points of strongly pseudoconvex subvarieties in complex spaces
(Journal article; Peer reviewed, 2018)We prove that all locally exposable points in a Stein compact in a complex space can be exposed along a given curve to a given real hypersurface. Moreover, the exposing map for a boundary point can be sufficiently close ... -
An extension of Bohr's theorem
(Peer reviewed; Journal article, 2024) -
Hochschild homology and trivial extension algebras
(Journal article; Peer reviewed, 2017)We prove that if an algebra is either selfinjective, local or graded, then the Hochschild homology dimension of its trivial extension is infinite. -
A note on the mean values of the derivatives of ζ/ζ
(Peer reviewed; Journal article, 2022)Assuming the Riemann hypothesis, we obtain a formula for the mean value of the -derivative of , depending on the pair correlation of zeros of the Riemann zeta-function. This formula allows us to obtain new equivalences ... -
Segal spaces, spans, and semicategories
(Peer reviewed; Journal article, 2021)We show that Segal spaces, and more generally category objects in an -category , can be identified with associative algebras in the double -category of spans in . We use this observation to prove that “having identities” ... -
The stable category of Gorenstein flat sheaves on a noetherian scheme
(Journal article; Peer reviewed, 2021)