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We present a survey of research on orbits of unitary representations developed under the guidance and leadership of Guido Weiss in the last 20 years. This line of research started via the study of wavelets and other reproducing function systems. It e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f734a3379081eb86e47de2097cd4d2f
https://doi.org/10.1007/s12220-020-00396-0
https://doi.org/10.1007/s12220-020-00396-0
Publikováno v:
Synthesis Lectures on Mathematics and Statistics. 8:1-98
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84e7de33205103904392b083dd14913d
https://doi.org/10.2200/s00725ed1v01y201608mas017
https://doi.org/10.2200/s00725ed1v01y201608mas017
Publikováno v:
Applied and Computational Harmonic Analysis. 39:511-533
A classical theorem attributed to Naimark states that, given a Parseval frame B in a Hilbert space H , one can embed H in a larger Hilbert space K so that the image of B is the projection of an orthonormal basis for K . In the present work, we revisi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf1f340c6d12ab3fd68faae4d6d7963c
https://doi.org/10.1016/j.acha.2014.12.004
https://doi.org/10.1016/j.acha.2014.12.004
Autor:
Peter M. Luthy
Publikováno v:
Journal of Functional Analysis. 268:1105-1152
It is well-known that estimates for maximal operators and questions of pointwise convergence are strongly connected. In recent years, convergence properties of so-called ‘non-conventional ergodic averages’ have been studied by a number of authors
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af45f981935ac23e919194f9be0d2aad
https://doi.org/10.1016/j.jfa.2014.11.010
https://doi.org/10.1016/j.jfa.2014.11.010
Autor:
Carolina A. Mosquera, Carlos Cabrelli, Peter M. Luthy, Davide Barbieri, Eugenio Hernández, Ursula Molter
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
In this note, we investigate the existence of frames of exponentials for L2(Ω) in the setting of LCA groups. Our main result shows that sub-multitiling properties of Ω⊂Gˆ with respect to a uniform lattice Γ of Gˆ guarantee the existence of a f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::380f49d8771c94f96defbd0ed9768148
http://arxiv.org/abs/1710.03176
http://arxiv.org/abs/1710.03176
This book assumes the students know some of the basic facts about Calculus. We are very rigorous and expose them to the proofs and the ideas which produce them. In three chapters, this book covers these number systems and the material usually found i
Publikováno v:
The Fundamentals of Analysis for Talented Freshmen ISBN: 9783031012815
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e919bf81ccbb2463948b610b516d8aba
https://doi.org/10.1007/978-3-031-02409-2_3
https://doi.org/10.1007/978-3-031-02409-2_3
Publikováno v:
The Fundamentals of Analysis for Talented Freshmen ISBN: 9783031012815
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ea6ae36b53c4223b7e17792d493d8ef
https://doi.org/10.1007/978-3-031-02409-2_2
https://doi.org/10.1007/978-3-031-02409-2_2
Publikováno v:
The Fundamentals of Analysis for Talented Freshmen ISBN: 9783031012815
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2fbac16bdd4f5a7e94d248004c4fb151
https://doi.org/10.1007/978-3-031-02409-2_1
https://doi.org/10.1007/978-3-031-02409-2_1