Blar i Institutt for matematiske fag på tidsskrift "Journal of Functional Analysis"
Viser treff 1-12 av 12
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A remark on the Alexandrov–Fenchel inequality
(Journal article; Peer reviewed, 2018)In this article, we give a complex-geometric proof of the Alexandrov–Fenchel inequality without using toric compactifications. The idea is to use the Legendre transform and develop the Brascamp–Lieb proof of the Prékopa ... -
Affine quantum harmonic analysis
(Journal article; Peer reviewed, 2022) -
Daubechies' time-frequency localization operator on Cantor type sets II
(Peer reviewed; Journal article, 2022)We study a version of the fractal uncertainty principle in the joint time-frequency representation. Namely, we consider Daubechies' localization operator projecting onto spherically symmetric n-iterate Cantor sets with an ... -
Nonlinear anisotropic degenerate parabolic-hyperbolic equations with stochastic forcing
(Journal article; Peer reviewed, 2021) -
Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities
(Peer reviewed; Journal article, 2023)We establish boundedness estimates for solutions of generalized porous medium equations of the form where and is a linear, symmetric, and nonnegative operator. The wide class of operators we consider includes, but is not ... -
Norms of composition operators on the $H^2$ space of Dirichlet series
(Journal article; Peer reviewed, 2020), generated by Dirichlet series symbols φ. We prove two different subordination principles for such operators. One concerns affine symbols only, and is based on an arithmetical condition on the coefficients of φ. The other ... -
Orthogonal decomposition of composition operators on the $H^2$ space of Dirichlet series
(Peer reviewed; Journal article, 2022)Let denote the Hilbert space of Dirichlet series with square-summable coefficients. We study composition operators on which are generated by symbols of the form , in the case that . If only a subset of prime numbers ... -
Quantum harmonic analysis on locally compact groups
(Journal article; Peer reviewed, 2023)On a locally compact group we introduce covariant quantization schemes and analogs of phase space representations as well as mixed-state localization operators. These generalize corresponding notions for the affine group ... -
Rigidity of twisted groupoid Lp-operator algebras
(Peer reviewed; Journal article, 2023)In this paper we study the isomorphism problem for reduced twisted group and groupoid Lp-operator algebras. For a locally compact group G and a continuous 2-cocycle σ we define the reduced σ-twisted Lp-operator algebra Fp ... -
Towards a classification of multi-faced independence: A representation-theoretic approach
(Peer reviewed; Journal article, 2023)We attack the classification problem of multi-faced independences, the first non-trivial example being Voiculescu's bi-freeness. While the present paper does not achieve a complete classification, it formalizes the idea ... -
Uncertainty principle via variational calculus on modulation spaces
(Journal article; Peer reviewed, 2022)We approach uncertainty principles of Cowling-Price-Heis-enberg-type as a variational principle on modulation spaces. In our discussion we are naturally led to compact localization operators with symbols in modulation ... -
A Wiener Tauberian theorem for operators and functions
(Peer reviewed; Journal article, 2021)We prove variants of Wiener's Tauberian theorem in the framework of quantum harmonic analysis, i.e. for convolutions between an absolutely integrable function and a trace class operator, or of two trace class operators. ...