359 citations
- Australian National UniversityAU211 papers
- Chongqing UniversityCN12 papers
- International Centre for Radio Astronomy ResearchAU12 papers
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- The University of MelbourneAU9 papers
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- Centre National de la Recherche ScientifiqueFR8 papers
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- Max Planck Institute for AstrophysicsDE6 papers
10 papers · 1 filter
Spaces of Besov-Sobolev type and a problem on nonlinear approximation
Óscar Domínguez, Andreas Seeger, Brian Street +2
We study fractional variants of the quasi-norms introduced by Brezis, Van Schaftingen, and Yung in the study of the Sobolev space . The resulting spaces are identifie…
Families of functionals representing Sobolev norms
Haim Brezis, Andreas Seeger, Jean Van Schaftingen +1
We obtain new characterizations of the Sobolev spaces and the bounded variation space . The characterizations are in terms of t…
The Witten index and the spectral shift function
Alan Carey, Galina Levitina, Denis Potapov +1
In \cite{APSIII} Atiyah, Patodi and Singer introduced spectral flow for elliptic operators on odd dimensional compact manifolds. They argued that it could be computed from the Fred…
Positive operator-valued measures and densely-defined operator-valued frames
Benjamin Robinson, Bill Moran, Doug Cochran
In the signal-processing literature, a frame is a mechanism for performing analysis and reconstruction in a Hilbert space. By contrast, in quantum theory, a positive operator-value…
Amenability of Beurling algebras, corrigendum to a result in "Generalised notions of amenability, II"
Fereidoun. Ghahramani, Richard J. Loy, Yong Zhang
We fix a gap in the proof of a result in our earlier paper "Generalised notions of amenability, II" (J. Funct. Anal. 254 (2008) 1776-1810), and so provide a new proof to a characte…
On a spectral flow formula for the homological index
Alan Carey, Harald Grosse, Jens Kaad
Consider a selfadjoint unbounded operator D on a Hilbert space H and a one parameter norm continuous family of selfadjoint bounded operators {A(t)} parametrized by the real line. T…