Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Luigi Rodino"'
Autor:
Elena Cordero, Luigi Rodino
In the last twenty years modulation spaces, introduced by H. G. Feichtinger in 1983, have been successfully addressed to the study of signal analysis, PDE's, pseudodifferential operators, quantum mechanics, by hundreds of contributions. In 2011 M. de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8247dc8d56fba140f66fe222de24504d
https://hdl.handle.net/2318/1905992
https://hdl.handle.net/2318/1905992
Autor:
Luigi Rodino, Patrik Wahlberg
We study an anisotropic version of the Shubin calculus of pseudodifferential operators on $\mathbf R^d$. Anisotropic symbols and Gabor wave front sets are defined in terms of decay or growth along curves in phase space of power type parametrized by o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1c7e5253aaeef1c9be6d0a4721332e2
https://hdl.handle.net/11583/2974734
https://hdl.handle.net/11583/2974734
Publikováno v:
Journal d'Analyse Mathematique. 138(2):857-870
We derive new results on the characterization of Gelfand-Shilov spaces $$\mathcal{S}_{\nu}^{\mu}(\mathbb{R}^n)$$ , μ, ν > 0, μ + ν ≥ 1 byGevrey estimates of the L2 norms of iterates of (m, k) anisotropic globally elliptic Shubin (or Γ) type op
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b8a01d7c825666e870ddebba0b99d9f
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85069750047&origin=inward
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85069750047&origin=inward
Autor:
S. Ivan Trapasso, Luigi Rodino
Publikováno v:
Springer INdAM Series ISBN: 9783030613457
In this expository note we present an introduction to the Gabor wave front set. As is often the case, this tool in microlocal analysis has been introduced and reinvented in different forms which turn out to be equivalent or intimately related. We pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::593d592de9928c61ceb7afef57d53322
http://hdl.handle.net/11583/2908115
http://hdl.handle.net/11583/2908115
Autor:
Elena Cordero, Luigi Rodino
This authoritative text studies pseudodifferential and Fourier integral operators in the framework of time-frequency analysis, providing an elementary approach, along with applications to almost diagonalization of such operators and to the sparsity o
Autor:
Sandro Coriasco, Luigi Rodino
Publikováno v:
Novi Sad Journal of Mathematics. 45:5-30
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::851f8a24b3593a343fec2a835746dbd5
https://doi.org/10.30755/nsjom.dans14.01
https://doi.org/10.30755/nsjom.dans14.01
Publikováno v:
Nagoya Math. J. 218 (2015), 175-198
We investigate the decay for |x|→∞ of weak Sobolev-type solutions of semilinear nonlocal equations Pu = F(u). We consider the case when P = p(D) is an elliptic Fourier multiplier with polyhomogeneous symbol p(ξ), and we derive algebraic decay es
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1403f480baf0ab854002e38085d4c69
https://doi.org/10.1215/00277630-2891745
https://doi.org/10.1215/00277630-2891745
Publikováno v:
Journal of Fourier Analysis and Applications. 21:694-714
This article gives explicit integral formulas for the so-called generalized metaplectic operators, i.e. Fourier integral operators (FIOs) of Schr\"odinger type, having a symplectic matrix as canonical transformation. These integrals are over specific
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af50024c9a40bde0963e75c88d0dfa7f
https://doi.org/10.1007/s00041-014-9384-8
https://doi.org/10.1007/s00041-014-9384-8
Publikováno v:
Revista Matemática Iberoamericana. 31:461-476
We investigate the sparsity of the Gabor-matrix representation of Fourier integral operators with a phase having quadratic growth. It is known that such an infinite matrix is sparse and well organized, being in fact concentrated along the graph of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84a0c8d4cc55813ff75c1a1eb2b2289a
https://doi.org/10.4171/rmi/841
https://doi.org/10.4171/rmi/841