Artikel

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  Caragea, Andrei ; Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  A Balian–Low type theorem for Gabor Riesz sequences of arbitrary density.
  In: Mathematische Zeitschrift. 303 (2023) 2: 48. - 23 S.
  ISSN 1432-1823 ; 0025-5874
  10.1007/s00209-022-03182-6
  (Peer-Review-Journal)
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  Caragea, Andrei ; Petersen, Philipp ; Voigtlaender, Felix:
  Neural network approximation and estimation of classifiers with classification boundary in a Barron class.
  In: The annals of applied probability : an official journal of the Institute of Mathematical Statistics. 33 (2023) 4. - S. 3039-3079.
  10.1214/22-AAP1884
  (Peer-Review-Journal)
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  Caragea, Andrei ; Lee, Dae Gwan:
  A note on exponential Riesz bases.
  In: Sampling theory, signal processing, and data analysis. 20 (2022): 13. - 14 S.
  ISSN 2730-5724 ; 2730-5716
  10.1007/s43670-022-00031-9
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  Caragea, Andrei ; Lee, Dae Gwan ; Maly, Johannes ; Pfander, Götz E. ; Voigtlaender, Felix:
  Quantitative approximation results for complex-valued neural networks.
  In: SIAM Journal on Mathematics of Data Science. 4 (2022) 2. - S. 553-580.
  ISSN 2577-0187
  0.1137/21M1429540
  (Peer-Review-Journal)
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  Caragea, Andrei ; Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  A quantitative subspace Balian-Low theorem.
  In: Applied and computational harmonic analysis. 55 (2021). - S. 368-404.
  ISSN 1063-5203 ; 1096-603x
  10.1016/j.acha.2021.06.005
  (Peer-Review-Journal)
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  Caragea, Andrei ; Lee, Dae Gwan ; Pfander, Götz E. ; Philipp, Friedrich:
  A Balian-Low theorem for subspaces.
  In: The journal of Fourier analysis and applications. 25 (2019) 4. - S. 1673-1694.
  ISSN 1069-5869 ; 1531-5851
  10.1007/s00041-018-9634-2
  (Peer-Review-Journal)

Aufsatz in einem Buch

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  Caragea, Andrei ; Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  A quantitative Balian-Low theorem for subspaces.
  In: Proceedings of International Conference on Sampling Theory and Applications (SampTA), Bordeaux, France, 2019. - Piscataway, NJ : IEEE, 2019
  ISBN 978-1-7281-3741-4
  10.1109/SampTA45681.2019.9030951
  (Begutachteter Beitrag / peer-reviewed paper)
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  Caragea, Andrei ; Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  Time-Frequency Shift Invariance of Gabor Spaces.
  In: Proceedings of International Conference on Sampling Theory and Applications (SampTA), Bordeaux, France, 2019. - Piscataway, NJ : IEEE, 2019
  ISBN 978-1-7281-3741-4
  10.1109/SampTA45681.2019.9030919
  (Begutachteter Beitrag / peer-reviewed paper)

Hochschulschrift

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  Caragea, Andrei:
  Balian-Low phenomena, exponential bases and neural network approximation.
  Eichstätt, 2024. - 203, 14 S.
  10.17904/ku.opus-908
  (Dissertation, 2023, Katholische Universität Eichstätt-Ingolstadt)

Preprint, Working paper, Diskussionspapier

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  Caragea, Andrei ; Petersen, Philipp ; Voigtlaender, Felix:
  Neural network approximation and estimation of classifiers with classification boundary in a Barron class.
  2022. - 42 S.
  arXiv:2011.09363
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  Caragea, Andrei ; Lee, Dae Gwan ; Maly, Johannes ; Pfander, Götz E.:
  Quantitative approximation results for complex-valued neural networks.
  Eichstätt : arXiv, 2021. - 19 S.
  arxiv:2102.13092
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  Caragea, Andrei ; Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  A quantitative subspace Balian-Low theorem.
  2019. - 38 S.
  10.48550/arXiv.1904.12250
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  Caragea, Andrei ; Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  Time-frequency shift invariance of Gabor spaces with an S0-generator.
  2019. - 15 S.
  arXiv:1904.12345