[图书][B] Modulation spaces
Á Bényi, KA Okoudjou, Á Bényi, KA Okoudjou - 2020 - Springer
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On some properties of modulation spaces as Banach algebras
HG Feichtinger, M Kobayashi, E Sato - arXiv preprint arXiv:2405.09058, 2024 - arxiv.org
In this paper, we give some properties of the modulation spaces $ M_s^{p, 1}({\mathbf R}^ n)
$ as commutative Banach algebras. In particular, we show the Wiener-L\'evy theorem for …
$ as commutative Banach algebras. In particular, we show the Wiener-L\'evy theorem for …
Operating Functions on
M Kobayashi, E Sato - Journal of Fourier Analysis and Applications, 2022 - Springer
Let A sq (T) denote the space of all Lebesgue integrable functions f on the torus T such
that∑ m∈ Z| f^(m)| q⟨ m⟩ sq<∞, where {f^(m)} m∈ Z denote the Fourier coefficients of f …
that∑ m∈ Z| f^(m)| q⟨ m⟩ sq<∞, where {f^(m)} m∈ Z denote the Fourier coefficients of f …
A note on operating functions of modulation spaces
M Kobayashi, E Sato - Journal of Pseudo-Differential Operators and …, 2022 - Springer
Let A β 1 (T) denote the set of all Lebesgue integrable functions F on the torus T such that∑
m∈ Z| F^(m)|(1+| m|) β<∞, where {F^(m)} m∈ Z denote the Fourier coefficients of F. We …
m∈ Z| F^(m)|(1+| m|) β<∞, where {F^(m)} m∈ Z denote the Fourier coefficients of F. We …
[HTML][HTML] Nonlinear operations on a class of modulation spaces
T Kato, M Sugimoto, N Tomita - Journal of Functional Analysis, 2020 - Elsevier
We discuss when the nonlinear operation f↦ F (f) maps the modulation space M sp, q (R
n)(1≤ p, q≤∞) to the same space again. It is known that M sp, q (R n) is a multiplication …
n)(1≤ p, q≤∞) to the same space again. It is known that M sp, q (R n) is a multiplication …
Nonlinear operations and factorizations on a class of affine modulation spaces
MHA Biswas, R Manna - Forum Mathematicum, 2024 - degruyter.com
In the first part of the paper, we obtain a necessary and sufficient condition on a complex-
valued function 𝐹 on R 2 such that F(f)∈ M θ r, s(R n) for all f∈ M θ r, 1(R n), 1≤ r<∞ …
valued function 𝐹 on R 2 such that F(f)∈ M θ r, s(R n) for all f∈ M θ r, 1(R n), 1≤ r<∞ …
Composition operators on Wiener amalgam spaces
DG Bhimani - Nagoya Mathematical Journal, 2020 - cambridge.org
COMPOSITION OPERATORS ON WIENER AMALGAM SPACES Page 1 Nagoya Math. J., 240
(2020), 257–274 DOI 10.1017/nmj.2019.4 COMPOSITION OPERATORS ON WIENER …
(2020), 257–274 DOI 10.1017/nmj.2019.4 COMPOSITION OPERATORS ON WIENER …
Composition operators on Wiener amalgam spaces
DG Bhimani - arXiv preprint arXiv:1503.01606, 2015 - arxiv.org
For a complex function $ F $ on $\mathbb C $, we study the associated composition operator
$ T_ {F}(f):= F\circ f= F (f) $ on Wiener amalgam $ W^{p, q}(\mathbb R^ d)\(1\leq p<\infty …
$ T_ {F}(f):= F\circ f= F (f) $ on Wiener amalgam $ W^{p, q}(\mathbb R^ d)\(1\leq p<\infty …
Weighted Modulation Spaces
Á Bényi, KA Okoudjou, Á Bényi… - Modulation Spaces: With …, 2020 - Springer
The concept of weight function appears ubiquitously in harmonic analysis. A weight is a
nonnegative measurable function that, depending on the context, quantifies more precisely …
nonnegative measurable function that, depending on the context, quantifies more precisely …
[PDF][PDF] Operating functions in harmonic analysis
E Sato - libir.josai.ac.jp
Operating functions in harmonic analysis Page 1 Josai Mathematical Monographs Vol. 11 (2018)
pp. 47–54 Operating functions in harmonic analysis Enji Sato Abstract. In this paper, we state …
pp. 47–54 Operating functions in harmonic analysis Enji Sato Abstract. In this paper, we state …