26 citations · 63 across the 31 of their papers we have counts for
5 papers · 2 filters
Comment on 'Comment on 'Affine density, von Neumann dimension and a problem of Perelomov"
Luís Daniel Abreu
In the Letter 'Comment on 'Affine density, von Neumann dimension and a problem of Perelomov', arXiv.2211.04879, by Prof. J. L. Romero, it is claimed that the main theorem of Ref2 :…
Quantitative bounds for unconditional pairs of frames
Peter Balazs, Daniel Freeman, Roxana Popescu +1
We formulate a quantitative finite-dimensional conjecture about frame multipliers and prove that it is equivalent to Conjecture 1 in [SB2]. We then present solutions to the conject…
Donoho-Logan large sieve principles for the wavelet transform
Luís Daniel Abreu, Michael Speckbacher
In this paper we formulate Donoho and Logan's large sieve principle for the wavelet transform on the Hardy space, adapting the concept of maximum Nyquist density to the hyperbolic…
Time-frequency analysis on flat tori and Gabor frames in finite dimensions
Luis Daniel Abreu, Peter Balazs, Nicki Holighaus +2
We provide the foundations of a Hilbert space theory for the short-time Fourier transform (STFT) where the flat tori \begin{equation*} \mathbb{T}_{N}^2=\mathbb{R}^2/(\mathbb{Z}\tim…
Lipschitz Continuity of Spectra of Pseudodifferential Operators in a Weighted Sjöstrand Class and Gabor Frame Bounds
Karlheinz Gröchenig, José Luis Romero, Michael Speckbacher
We study one-parameter families of pseudodifferential operators whose Weyl symbols are obtained by dilation and a smooth deformation of a symbol in a weighted Sjöstrand class. We s…