Titlebook: Extended Abstracts 2021/2022; Ghent Analysis and P Michael Ruzhansky,Karel Van Bockstal Book 2024 The Editor(s) (if applicable) and The Aut

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Estimates for Oscillatory Integrals with Discontinuous AmplitudeIn this paper, we consider oscillatory integrals with analytic phase function and amplitude having a set of discontinuity points. We obtain estimates for such integrals that are sharp up to a positive number ..

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The Unitary Dual of the Heisenberg Group Over In this short note, we review the essentials of the representation theory of the Heisenberg group over a certain compact ring obtained as the direct product of infinite copies of the finite field ., where . is a prime number, and we use it to calculate the spectrum of the Vladimirov-Taibleson operator on the group.

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https://doi.org/10.1007/978-3-031-42539-4Research; Applications; Ghent Analysis & PDE Center; Seminar; Analysis; Partial Differential Equations

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narcissism

Cognizance

A Note on a Capelli Operator and its Resonance group actions. In particular, we recover the well-known fact that the Laplacian on . has no resonances and we conclude that the Capelli operator on . has a single resonance at .. The full proof of this fact is contained in a joint paper with A. Pasquale and T. Przebinda (J Lie Theory 33(1):93–132, 2023).

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Opponent