Results 121 to 130 of about 3,791,283 (277)

Approximation of Dirac operators with δ${\delta }$‐shell potentials in the norm resolvent sense. I. Qualitative results

open access: yesMathematische Nachrichten, Volume 298, Issue 8, Page 2499-2546, August 2025.
Abstract In this paper, the approximation of Dirac operators with general δ$\delta$‐shell potentials supported on C2$C^2$‐curves in R2$\mathbb {R}^2$ or C2$C^2$‐surfaces in R3$\mathbb {R}^3$, which may be bounded or unbounded, is studied. It is shown under suitable conditions on the weight of the δ$\delta$‐interaction that a family of Dirac operators ...
Jussi Behrndt   +2 more
wiley   +1 more source

Heisenberg‐smooth operators from the phase‐space perspective

open access: yesMathematische Nachrichten, Volume 298, Issue 8, Page 2845-2866, August 2025.
Abstract Cordes' characterization of Heisenberg‐smooth operators bridges a gap between the theory of pseudo‐differential operators and quantum harmonic analysis (QHA). We give a new proof of the result by using the phase‐space formalism of QHA. Our argument is flexible enough to generalize Cordes' result in several directions: (1) we can admit general ...
Robert Fulsche, Lauritz van Luijk
wiley   +1 more source

Deformable image registration of dark‐field chest radiographs for functional lung assessment

open access: yesMedical Physics, Volume 52, Issue 8, August 2025.
Abstract Background Dark‐field radiography of the human chest has been demonstrated to have promising potential for the analysis of the lung microstructure and the diagnosis of respiratory diseases. However, most previous studies of dark‐field chest radiographs evaluated the lung signal only in the inspiratory breathing state.
Fabian Drexel   +8 more
wiley   +1 more source

On typical Markov operators acting on Borel measures

open access: yesAbstract and Applied Analysis, 2005
It is proved that, in the sense of Baire category, almost every Markov operator acting on Borel measures is asymptotically stable and the Hausdorff dimension of its invariant measure is equal to zero.
Tomasz Szarek
doaj   +1 more source

Defining ground truth for prostate segmentation of transrectal ultrasound images: Inter‐ and intra‐observer variability of manual versus semi‐automatic methods

open access: yesMedical Physics, Volume 52, Issue 8, August 2025.
Abstract Background Accurate prostate segmentation in transrectal ultrasound (TRUS) imaging is essential for diagnosis, treatment planning, and developing artificial intelligence (AI) algorithms. Although manual segmentation is often recommended as the ground truth for AI training, it is time‐consuming, prone to inter‐ and intra‐observer variability ...
Louis Lenfant   +6 more
wiley   +1 more source

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