D. Bartusel

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20212026

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math.FA2026

Uncertainty Principles as a Tool for STFT Phase Retrieval

David Bartusel

In the finite-dimensional setting, it is known that STFT phase retrieval is always possible when the window's ambiguity function does not vanish. However, it is not known how many…

math.FA2022

Injectivity conditions for STFT phase retrieval on $Z$ , $Z_{d}$ and $R^{d}$

David Bartusel

We study the phase retrieval problem for the short-time Fourier transform on the groups $Z$ , $Z_{d}$ and $R^{d}$ . As is well-known, phase retrieval is possib…

math.FA2021

Embeddings of anisotropic Besov spaces into Sobolev spaces

David Bartusel, Hartmut Führ

We study the embeddings of (homogeneous and inhomogeneous) anisotropic Besov spaces associated to an expansive matrix $A$ into Sobolev spaces, with focus on the influence of $A$ on…

Uncertainty Principles as a Tool for STFT Phase Retrieval

Injectivity conditions for STFT phase retrieval on Z, Zd​ and Rd

Embeddings of anisotropic Besov spaces into Sobolev spaces

Injectivity conditions for STFT phase retrieval on $Z$ , $Z_{d}$ and $R^{d}$