[BOOK][B] Modulation spaces
Á Bényi, KA Okoudjou, Á Bényi, KA Okoudjou - 2020 - Springer
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Modulation spaces: looking back and ahead
HG Feichtinger - Sampling Theory in Signal and Image Processing, 2006 - Springer
This note provides historical perspective and background on the motivations which led to the
invention of the modulation spaces by the author almost 25 years ago, as well as comments …
invention of the modulation spaces by the author almost 25 years ago, as well as comments …
On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥ 3
We consider the Cauchy problem of the cubic nonlinear Schrödinger equation (NLS) $:
i\partial _t u+\Delta u=\pm| u|^{2} u $ on $\mathbb {R}^ d $, $ d\geq 3$, with random initial …
i\partial _t u+\Delta u=\pm| u|^{2} u $ on $\mathbb {R}^ d $, $ d\geq 3$, with random initial …
Continuity properties for modulation spaces, with applications to pseudo-differential calculus, II
J Toft - Annals of Global Analysis and Geometry, 2004 - Springer
We discuss continuity for weighted modulation spaces, andprove that many such spaces
can be obtained in a canonicalway from the corresponding standard modulation spaces. We …
can be obtained in a canonicalway from the corresponding standard modulation spaces. We …
Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS
We introduce a randomization of a function on ℝ d R^ d that is naturally associated to the
Wiener decomposition and, intrinsically, to the modulation spaces. Such randomized …
Wiener decomposition and, intrinsically, to the modulation spaces. Such randomized …
Local well-posedness of nonlinear dispersive equations on modulation spaces
Á Bényi, KA Okoudjou - Bulletin of the London Mathematical …, 2009 - academic.oup.com
Local well-posedness of nonlinear dispersive equations on modulation spaces Page 1 Bull.
London Math. Soc. 41 (2009) 549–558 Cо2009 London Mathematical Society doi:10.1112/blms/bdp027 …
London Math. Soc. 41 (2009) 549–558 Cо2009 London Mathematical Society doi:10.1112/blms/bdp027 …
The dilation property of modulation spaces and their inclusion relation with Besov spaces
M Sugimoto, N Tomita - Journal of Functional Analysis, 2007 - Elsevier
We consider the dilation property of the modulation spaces Mp, q. Let Dλ: f (t)↦ f (λt) be the
dilation operator, and we consider the behavior of the operator norm [Formula: see text] with …
dilation operator, and we consider the behavior of the operator norm [Formula: see text] with …
The Bargmann transform on modulation and Gelfand–Shilov spaces, with applications to Toeplitz and pseudo-differential operators
J Toft - Journal of Pseudo-Differential Operators and …, 2012 - Springer
We investigate map** properties for the Bargmann transform on an extended family of
modulation spaces whose weights and their reciprocals are allowed to grow faster than …
modulation spaces whose weights and their reciprocals are allowed to grow faster than …
The inclusion relation between Sobolev and modulation spaces
M Kobayashi, M Sugimoto - Journal of Functional Analysis, 2011 - Elsevier
The inclusion relation between Sobolev and modulation spaces Page 1 Journal of Functional
Analysis 260 (2011) 3189–3208 www.elsevier.com/locate/jfa The inclusion relation between …
Analysis 260 (2011) 3189–3208 www.elsevier.com/locate/jfa The inclusion relation between …
Modulation spaces, Wiener amalgam spaces, and Brownian motions
Á Bényi, T Oh - Advances in Mathematics, 2011 - Elsevier
We study the local-in-time regularity of the Brownian motion with respect to localized
variants of modulation spaces Msp, q and Wiener amalgam spaces Wsp, q. We show that …
variants of modulation spaces Msp, q and Wiener amalgam spaces Wsp, q. We show that …