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- Space Telescope Science InstituteUS138 papers
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125 papers · 1 filter
A Survey of Fusion Frames in Hilbert Spaces
Lukas Köhldorfer, Peter Balazs, Pete Casazza +4
Fusion frames are a very active area of research today because of their myriad of applications in pure mathematics, applied mathematics, engineering, medicine, signal and image pro…
Stochastic reverse isoperimetric inequalities in the plane
Jesus Rebollo Bueno
In recent years, it has been shown that some classical inequalities follow from a local stochastic dominance for naturally associated random polytopes. We strengthen planar isoperi…
Fractional Fourier transforms on and applications
Wei Chen, Zunwei Fu, Loukas Grafakos +1
This paper is devoted to the theory of the fractional Fourier transform (FRFT) for . In view of the special structure of the FRFT, we study FRFT proper…
Sobolev embeddings, rearrangement-invariant spaces and Frostman measures
Andrea Cianchi, Luboš Pick, Lenka Slavíková
Sobolev embeddings, of arbitrary order, are considered into function spaces on domains of endowed with measures whose decay on balls is dominated by a power of th…
Euclidean structures and operator theory in Banach spaces
Nigel J. Kalton, Emiel Lorist, Lutz Weis
We present a general method to extend results on Hilbert space operators to the Banach space setting by representing certain sets of Banach space operators on a Hilbert space.…
The Solution to the Frame Quantum Detection Problem
Sara Bothelho-Andrade, Peter G. Casazza, Desai Cheng +1
We will give a complete solution to the frame quantum detection problem. We will solve both cases of the problem: the quantum injectivity problem and quantum state estimation probl…