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## Rodino, Luigi

Compute Distance To:
 Author ID: rodino.luigi Published as: Rodino, L.; Rodino, Luigi; Rodino, Luigi G. External Links: MGP · Wikidata · GND
 Documents Indexed: 158 Publications since 1975, including 22 Books Reviewing Activity: 529 Reviews Biographic References: 1 Publication
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#### Co-Authors

 26 single-authored 26 Nicola, Fabio 25 Cordero, Elena 19 Gramchev, Todor V. 13 Cappiello, Marco 11 Pilipović, Stevan 8 Wong, Man Wah 6 Boggiatto, Paolo 6 Parenti, Cesare 5 Chen, Hua 5 Toft, Joachim 4 Calvo, Daniela 4 Liess, Otto 4 Oliaro, Alessandro 3 Buzano, Ernesto 3 Corli, Andrea 3 De Donno, Giuseppe 3 De Rossi, Alessandra 3 Delbosco, Domenico 3 Gröchenig, Karlheinz 3 Wahlberg, Patrik 2 Cattabriga, Lamberto 2 Garello, Gianluca 2 Helffer, Bernard 2 Lanconelli, Ermanno 2 Mascarello Rodino, Maria 2 Mascarello, Maria 2 Qian, Tao 2 Teofanov, Nenad 2 Zanghirati, Luisa 1 Albanese, Angela Anna 1 Albano, Luisa 1 Altomare, Francesco 1 Battisti, Ubertino 1 Bolley, Pierre 1 Calanchi, Marta 1 Camus, Jacques 1 Coriasco, Sandro 1 Da Lio, Francesca 1 Dang, Pei 1 Duduchava, Roland 1 Fathizadeh, Farzad 1 Gramchevf, Todor 1 Karlovich, Yuri I. 1 Khalkhali, Masoud 1 Ku, Min 1 Lecke, Alexander 1 Lindahl, Karl-Olof 1 Lindström, Torsten 1 Marcolongo, Paola 1 Messina, Francesca 1 Molahajloo, Shahla 1 Morando, Alessandro 1 Negro, Adolfo 1 Negro, Angelo L. 1 Nguyen Minh Tri 1 Popivanov, Petar Radoev 1 Pravda-Starov, Karel 1 Qi, Minyou 1 Rossati, Franco 1 Schulze, Bert-Wolfgang 1 Silbermann, Bernd 1 Spitkovsky, Ilya Matvey 1 Trapasso, Salvatore Ivan 1 Tri, Nguyen Minh 1 Vindas, Jasson 1 Wahlberg, Patrick 1 Zhu, Hongmei
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#### Serials

 6 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Communications in Partial Differential Equations 4 Proceedings of the American Mathematical Society 4 Rendiconti del Seminario Matematico 4 Operator Theory: Advances and Applications 3 Journal of Mathematical Analysis and Applications 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 3 Integral Transforms and Special Functions 2 Journal d’Analyse Mathématique 2 Rocky Mountain Journal of Mathematics 2 Archiv der Mathematik 2 Mathematische Nachrichten 2 Transactions of the American Mathematical Society 2 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni 2 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bollettino della Unione Matematica Italiana. Series V. B 2 Lecture Notes in Mathematics 2 Springer Proceedings in Mathematics & Statistics 2 Trends in Mathematics 1 Journal of Mathematical Physics 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 1 Advances in Mathematics 1 American Journal of Mathematics 1 Functiones et Approximatio. Commentarii Mathematici 1 Indian Journal of Mathematics 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of Mathematics of Kyoto University 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Ricerche di Matematica 1 Note di Matematica 1 Annals of Global Analysis and Geometry 1 Revista Matemática Iberoamericana 1 Doklady Bolgarskoĭ Akademii Nauk 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Applied and Computational Harmonic Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Mathematical Inequalities & Applications 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Far East Journal of Applied Mathematics 1 Nonlinear Analysis Forum 1 Cubo Matemática Educacional 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Bulletin of the American Mathematical Society 1 Complex Variables and Elliptic Equations 1 De Gruyter Studies in Mathematics 1 Fields Institute Communications 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Publications de l’Institut de Recherche de Mathématiques de Rennes 1 Communications in Mathematical Analysis 1 Pseudo Differential Operators. Theory and Applications
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#### Fields

 137 Partial differential equations (35-XX) 51 Operator theory (47-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 19 Functional analysis (46-XX) 19 Numerical analysis (65-XX) 17 General and overarching topics; collections (00-XX) 15 Global analysis, analysis on manifolds (58-XX) 5 Integral equations (45-XX) 4 Real functions (26-XX) 4 Quantum theory (81-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH

113 Publications have been cited 1,219 times in 747 Documents Cited by Year
Existence and uniqueness for a nonlinear fractional differential equation. Zbl 0881.34005
Delbosco, Domenico; Rodino, Luigi
1996
Linear partial differential operators in Gevrey spaces. Zbl 0869.35005
Rodino, Luigi
1993
Global pseudo-differential calculus on Euclidean spaces. Zbl 1257.47002
Nicola, Fabio; Rodino, Luigi
2010
Global hypoellipticity and spectral theory. Zbl 0878.35001
Boggiatto, Paolo; Buzano, Ernesto; Rodino, Luigi
1996
Time-frequency analysis of Fourier integral operators. Zbl 1196.42027
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2010
Partial differential equations with multiple characteristics. Zbl 0888.35001
Mascarello, Maria; Rodino, Luigi
1997
Wiener algebras of Fourier integral operators. Zbl 1306.42045
Cordero, Elena; Gröchenig, Karlheinz; Nicola, Fabio; Rodino, Luigi
2013
Classes of degenerate elliptic operators in Gelfand–Shilov spaces. Zbl 1170.47031
Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi
2007
Quasianalytic Gelfand-Shilov spaces with application to localization operators. Zbl 1200.47065
Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad
2010
Sparsity of Gabor representation of Schrödinger propagators. Zbl 1171.35133
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2009
The Gabor wave front set. Zbl 1366.42030
Rodino, Luigi; Wahlberg, Patrik
2014
Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients. Zbl 1104.35049
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2006
Inhomogeneous Gevrey classes and related pseudodifferential operators. Zbl 0557.35131
Liess, Otto; Rodino, Luigi
1984
Boundedness of Fourier integral operators on $$\mathcal {F}L^p$$ spaces. Zbl 1178.35398
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2009
Generalized metaplectic operators and the Schrödinger equation with a potential in the Sjöstrand class. Zbl 1295.81050
Cordero, Elena; Gröchenig, Karlheinz; Nicola, Fabio; Rodino, Luigi
2014
Gabor representations of evolution operators. Zbl 1338.35519
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
On the global boundedness of Fourier integral operators. Zbl 1200.35347
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2010
Schrödinger equations with rough Hamiltonians. Zbl 1334.35458
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Propagation of the Gabor wave front set for Schrödinger equations with non-smooth potentials. Zbl 1314.35119
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
SG-pseudodifferential operators and Gelfand-Shilov spaces. Zbl 1158.35111
Cappiello, Marco; Rodino, Luigi
2006
Localization operators and exponential weights for modulation spaces. Zbl 1171.47303
Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad
2005
Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians. Zbl 1384.35107
Pravda-Starov, Karel; Rodino, Luigi; Wahlberg, Patrik
2018
Entire extensions and exponential decay for semilinear elliptic equations. Zbl 1217.35070
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2010
Wave packet analysis of Schrödinger equations in analytic function spaces. Zbl 1318.35094
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Cauchy problem for SG-hyperbolic equations with constant multiplicities. Zbl 0935.35106
Coriasco, Sandro; Rodino, Luigi
1999
Sub-exponential decay and uniform holomorphic extensions for semilinear pseudodifferential equations. Zbl 1196.35239
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2010
Exponentially sparse representations of Fourier integral operators. Zbl 1433.35470
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Semilinear pseudo-differential equations and travelling waves. Zbl 1143.35100
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2007
General theory of PDE and Gevrey classes. Zbl 0864.35130
Chen, Hua; Rodino, Luigi
1996
A class of pseudo differential operators on the product of two manifolds and applications. Zbl 0308.35081
Rodino, Luigi
1975
Eigenfunction expansions in $$\mathbb R^{n}$$. Zbl 1231.35133
Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi
2011
Gevrey solvability for semilinear partial differential equations with multiple characteristics. Zbl 0924.35030
Gramchev, Todor; Rodino, Luigi
1999
Pseudo-differential operators with multiple characteristics and Gevrey singularities. Zbl 0597.58034
Rodino, Luigi; Zanghirati, Luisa
1986
Hypoellipticity and local solvability in Gevrey classes. Zbl 1056.35049
Albanese, Angela A.; Corli, Andrea; Rodino, Luigi
2002
Examples of hypoelliptic operators which are not microhypoelliptic. Zbl 0407.35074
Parenti, Cesare; Rodino, Luigi
1980
Quantization and pseudo-differential operators. Zbl 1369.47065
Boggiatto, Paolo; Rodino, Luigi
2003
Global regularity and stability in $$S$$-spaces for classes of degenerate Shubin operators. Zbl 1228.47048
Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi
2010
Residues and index for bisingular operators. Zbl 1114.58024
Nicola, Fabio; Rodino, Luigi
2006
Hypoellipticité analytique-Gevrey et itérés d’opérateurs. (Analytic-Gevrey hypoellipticity and the iterates of operators). Zbl 0701.35055
Bolley, P.; Camus, J.; Rodino, L.
1987
A class of pseudo differential operators with multiple non-involutive characteristics. Zbl 0441.35069
Mascarello Rodino, Maria; Rodino, Luigi
1981
Parametrices for a class of pseudo differential operators. II. Zbl 0406.35066
Parenti, C.; Rodino, L.
1980
Parametrices for a class of pseudo differential operators. I. Zbl 0406.35065
Parenti, C.; Rodino, L.
1980
Propagation of Gabor singularities for semilinear Schrödinger equations. Zbl 1328.35215
Nicola, Fabio; Rodino, Luigi
2015
On the inverse to the harmonic oscillator. Zbl 1318.35091
Cappiello, Marco; Rodino, Luigi; Toft, Joachim
2015
Schrödinger equations in modulation spaces. Zbl 1273.35336
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2013
Spectral properties of the twisted bi-Laplacian. Zbl 1186.47041
Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Wong, M. W.
2009
Localization operators and time-frequency analysis. Zbl 1149.47035
Cordero, Elena; Rodino, Luigi; Gröchenig, Karlheinz
2007
Gelfand-Shilov spaces, pseudo-differential operators and localization operators. Zbl 1137.35088
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2007
Microlocal analysis for spatially inhomogeneous pseudo differential operators. Zbl 0501.35082
Rodino, Luigi
1982
Gelfand-Shilov type spaces through Hermite expansions. Zbl 1345.46033
Gramchev, Todor; Lecke, Alexander; Pilipović, Stevan; Rodino, Luigi
2015
Integral representations for the class of generalized metaplectic operators. Zbl 1341.42019
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Decay estimates for solutions of nonlocal semilinear equations. Zbl 1359.35067
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2015
Analytic-Gevrey hypoellipticity for a class of pseudo-differential operators with multiple characteristics. Zbl 0704.35035
Cattabriga, L.; Rodino, L.; Zanghirati, L.
1990
Local solvability in Gevrey classes. Zbl 0729.35002
Rodino, L.
1987
Radial symmetric elements and the Bargmann transform. Zbl 1323.35154
Cappiello, Marco; Rodino, Luigi; Toft, Joachim
2014
Globally bisingular elliptic operators. Zbl 1302.35486
Battisti, U.; Gramchev, T.; Rodino, L.; Pilipović, S.
2013
Iterates of operators and Gelfand-Shilov classes. Zbl 1227.47044
Calvo, Daniela; Rodino, Luigi
2011
Dixmier traceability for general pseudo-differential operators. Zbl 1146.35100
Nicola, Fabio; Rodino, Luigi
2008
Exponential decay and regularity for SG-elliptic operators with polynomial coefficients. Zbl 1387.35167
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2007
A Pizzetti-type formula for the heat operator. Zbl 1101.35007
Da Lio, Francesca; Rodino, Luigi
2006
Wick calculus: a time-frequency approach. Zbl 1075.35126
Cordero, Elena; Rodino, Luigi
2005
Inhomogeneous Gevrey classes and ultradistributions. Zbl 1065.46026
Calvo, Daniela; Morando, Alessandro; Rodino, Luigi
2004
Solvability for semilinear PDE with multiple characteristics. Zbl 1024.35003
Oliaro, Alessandro; Rodino, Luigi
2003
Paradifferential calculus in Gevrey classes. Zbl 0990.35141
Chen, Hua; Rodino, Luigi
2001
Linear partial differential equations with multiple involutive characteristics. Zbl 0884.35184
Liess, O.; Rodino, L.
1997
On the problem of the hypoellipticity of the linear partial differential equations. Zbl 0898.35119
Rodino, Luigi
1992
Fourier integral operators and inhomogeneous Gevrey classes. Zbl 0675.35090
Liess, Otto; Rodino, Luigi
1988
A pseudo differential operator which shifts the wave front set. Zbl 0377.35064
Parenti, Cesare; Rodino, Luigi
1978
Elliptic pseudo differential operators degenerate on a symplectic submanifold. Zbl 0337.35020
Helffer, Bernard; Rodino, Luigi
1976
On the $$L^2$$ continuity of a class of pseudo differential operators. Zbl 0324.35083
Rodino, Luigi
1976
Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces. Zbl 1454.35100
Cappiello, Marco; Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi
2019
A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions. Zbl 1338.35523
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2014
Global regularity for ordinary differential operators with polynomial coefficients. Zbl 1300.47051
Nicola, Fabio; Rodino, Luigi
2013
Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Zbl 1255.47001
Karlovich, Yuri I. (ed.); Rodino, Luigi (ed.); Silbermann, Bernd (ed.); Spitkovsky, Ilya M. (ed.)
2013
Time-frequency analysis of Schrödinger propagators. Zbl 1257.35201
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2012
Almost periodic pseudodifferential operators and Gevrey classes. Zbl 1253.35233
Oliaro, Alessandro; Rodino, Luigi; Wahlberg, Patrik
2012
Local solvability for nonlinear partial differential equations. Zbl 1042.35521
Messina, Francesca; Rodino, Luigi
2001
Gevrey hypoellipticity for equations with involutive characteristics of higher multiplicity. Zbl 0961.35029
De Donno, G.; Rodino, L.
2000
Microlocal analysis and applications. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.), held at Montecatini Terme, Italy, July 3-11, 1989. Zbl 0747.00025
Cattabriga, Lamberto (ed.); Rodino, Luigi (ed.)
1991
Gevrey solvability for hyperbolic operators with constant multiplicity. Zbl 0739.35002
Rodino, L.; Corli, A.
1988
The Riemann-Hilbert boundary problem in a bicylinder. Zbl 0592.35100
Duduchava, R.; Rodino, L.
1985
Gevrey hypoellipticity for a class of operators with multiple characteristics. Zbl 0501.35021
Rodino, L.
1981
Polysingular integral operators. Zbl 0445.45026
Rodino, Luigi
1980
Nonsolvability of a higher order degenerate elliptic pseudodifferential equation. Zbl 0405.35076
Rodino, Luigi
1980
Opérateurs différentiels ordinaires intervenant dans l’étude de l’hypoellipticite. Zbl 0358.58011
Helffer, B.; Rodino, L.
1977
On the boundedness of pseudo differential operators in the class $$L^m_{\rho,1}$$. Zbl 0329.47018
Rodino, Luigi
1976
Gabor wave packets and evolution operators. Zbl 1335.42038
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Weyl asymptotics for tensor products of operators and Dirichlet divisors. Zbl 1351.47012
Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Vindas, Jasson
2015
A two dimensional Adler-Manin trace and bi-singular operators. Zbl 1279.58013
2013
Metaplectic equivalence of the hierarchical twisted Laplacian. Zbl 1276.47064
Molahajloo, Shahla; Rodino, Luigi; Wong, M. W.
2013
Spectra of polynomials of the twisted Laplacian. Zbl 1276.47061
Gramchevf, Todor; Pilipović, Stevan; Rodino, Luigi; Wong, Man Wah
2012
Time-frequency analysis: function spaces and applications. Zbl 1267.42023
Cordero, Elena; Rodino, Luigi
2011
Gelfand-Shilov classes of multi-anisotropic type. Zbl 1193.46021
Calvo, Daniela; Rodino, Luigi
2009
Short-time Fourier transform analysis of localization operators. Zbl 1166.47048
Cordero, Elena; Rodino, Luigi
2008
Analytic and Gevrey solutions of nonlinear partial differential equations. Zbl 1075.35129
de Donno, G.; Oliaro, A.; Rodino, L.
2004
Some results on the strengthened CBS inequality for biorthogonal wavelets. Zbl 1060.42029
de Rossi, Alessandra; Rodino, Luigi
2004
Local solvability for partial differential equations with multiple characteristics. Zbl 1069.35004
Oliaro, Alessandro; Popivanov, Petar; Rodino, Luigi
2004
Microlocal analysis and applications. Zbl 1067.35163
Cordero, E.; Nicola, F.; Rodino, L.
2004
Strengthened Cauchy-Schwarz inequality for biorthogonal wavelets in Sobolev spaces. Zbl 1058.42026
De Rossi, A.; Rodino, L.
2004
A strengthened Cauchy-Schwarz inequality for bidimensional spline-wavelets. Zbl 1017.42026
De Rossi, Alessandra; Rodino, Luigi
2002
Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces. Zbl 1454.35100
Cappiello, Marco; Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi
2019
Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians. Zbl 1384.35107
Pravda-Starov, Karel; Rodino, Luigi; Wahlberg, Patrik
2018
Gabor representations of evolution operators. Zbl 1338.35519
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Schrödinger equations with rough Hamiltonians. Zbl 1334.35458
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Propagation of the Gabor wave front set for Schrödinger equations with non-smooth potentials. Zbl 1314.35119
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Wave packet analysis of Schrödinger equations in analytic function spaces. Zbl 1318.35094
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Exponentially sparse representations of Fourier integral operators. Zbl 1433.35470
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Propagation of Gabor singularities for semilinear Schrödinger equations. Zbl 1328.35215
Nicola, Fabio; Rodino, Luigi
2015
On the inverse to the harmonic oscillator. Zbl 1318.35091
Cappiello, Marco; Rodino, Luigi; Toft, Joachim
2015
Gelfand-Shilov type spaces through Hermite expansions. Zbl 1345.46033
Gramchev, Todor; Lecke, Alexander; Pilipović, Stevan; Rodino, Luigi
2015
Integral representations for the class of generalized metaplectic operators. Zbl 1341.42019
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Decay estimates for solutions of nonlocal semilinear equations. Zbl 1359.35067
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2015
Gabor wave packets and evolution operators. Zbl 1335.42038
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Weyl asymptotics for tensor products of operators and Dirichlet divisors. Zbl 1351.47012
Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Vindas, Jasson
2015
The Gabor wave front set. Zbl 1366.42030
Rodino, Luigi; Wahlberg, Patrik
2014
Generalized metaplectic operators and the Schrödinger equation with a potential in the Sjöstrand class. Zbl 1295.81050
Cordero, Elena; Gröchenig, Karlheinz; Nicola, Fabio; Rodino, Luigi
2014
Radial symmetric elements and the Bargmann transform. Zbl 1323.35154
Cappiello, Marco; Rodino, Luigi; Toft, Joachim
2014
A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions. Zbl 1338.35523
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2014
Wiener algebras of Fourier integral operators. Zbl 1306.42045
Cordero, Elena; Gröchenig, Karlheinz; Nicola, Fabio; Rodino, Luigi
2013
Schrödinger equations in modulation spaces. Zbl 1273.35336
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2013
Globally bisingular elliptic operators. Zbl 1302.35486
Battisti, U.; Gramchev, T.; Rodino, L.; Pilipović, S.
2013
Global regularity for ordinary differential operators with polynomial coefficients. Zbl 1300.47051
Nicola, Fabio; Rodino, Luigi
2013
Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Zbl 1255.47001
Karlovich, Yuri I. (ed.); Rodino, Luigi (ed.); Silbermann, Bernd (ed.); Spitkovsky, Ilya M. (ed.)
2013
A two dimensional Adler-Manin trace and bi-singular operators. Zbl 1279.58013
2013
Metaplectic equivalence of the hierarchical twisted Laplacian. Zbl 1276.47064
Molahajloo, Shahla; Rodino, Luigi; Wong, M. W.
2013
Time-frequency analysis of Schrödinger propagators. Zbl 1257.35201
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2012
Almost periodic pseudodifferential operators and Gevrey classes. Zbl 1253.35233
Oliaro, Alessandro; Rodino, Luigi; Wahlberg, Patrik
2012
Spectra of polynomials of the twisted Laplacian. Zbl 1276.47061
Gramchevf, Todor; Pilipović, Stevan; Rodino, Luigi; Wong, Man Wah
2012
Eigenfunction expansions in $$\mathbb R^{n}$$. Zbl 1231.35133
Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi
2011
Iterates of operators and Gelfand-Shilov classes. Zbl 1227.47044
Calvo, Daniela; Rodino, Luigi
2011
Time-frequency analysis: function spaces and applications. Zbl 1267.42023
Cordero, Elena; Rodino, Luigi
2011
Global pseudo-differential calculus on Euclidean spaces. Zbl 1257.47002
Nicola, Fabio; Rodino, Luigi
2010
Time-frequency analysis of Fourier integral operators. Zbl 1196.42027
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2010
Quasianalytic Gelfand-Shilov spaces with application to localization operators. Zbl 1200.47065
Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad
2010
On the global boundedness of Fourier integral operators. Zbl 1200.35347
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2010
Entire extensions and exponential decay for semilinear elliptic equations. Zbl 1217.35070
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2010
Sub-exponential decay and uniform holomorphic extensions for semilinear pseudodifferential equations. Zbl 1196.35239
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2010
Global regularity and stability in $$S$$-spaces for classes of degenerate Shubin operators. Zbl 1228.47048
Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi
2010
Sparsity of Gabor representation of Schrödinger propagators. Zbl 1171.35133
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2009
Boundedness of Fourier integral operators on $$\mathcal {F}L^p$$ spaces. Zbl 1178.35398
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2009
Spectral properties of the twisted bi-Laplacian. Zbl 1186.47041
Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Wong, M. W.
2009
Gelfand-Shilov classes of multi-anisotropic type. Zbl 1193.46021
Calvo, Daniela; Rodino, Luigi
2009
Dixmier traceability for general pseudo-differential operators. Zbl 1146.35100
Nicola, Fabio; Rodino, Luigi
2008
Short-time Fourier transform analysis of localization operators. Zbl 1166.47048
Cordero, Elena; Rodino, Luigi
2008
Classes of degenerate elliptic operators in Gelfand–Shilov spaces. Zbl 1170.47031
Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi
2007
Semilinear pseudo-differential equations and travelling waves. Zbl 1143.35100
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2007
Localization operators and time-frequency analysis. Zbl 1149.47035
Cordero, Elena; Rodino, Luigi; Gröchenig, Karlheinz
2007
Gelfand-Shilov spaces, pseudo-differential operators and localization operators. Zbl 1137.35088
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2007
Exponential decay and regularity for SG-elliptic operators with polynomial coefficients. Zbl 1387.35167
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2007
Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients. Zbl 1104.35049
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2006
SG-pseudodifferential operators and Gelfand-Shilov spaces. Zbl 1158.35111
Cappiello, Marco; Rodino, Luigi
2006
Residues and index for bisingular operators. Zbl 1114.58024
Nicola, Fabio; Rodino, Luigi
2006
A Pizzetti-type formula for the heat operator. Zbl 1101.35007
Da Lio, Francesca; Rodino, Luigi
2006
Localization operators and exponential weights for modulation spaces. Zbl 1171.47303
Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad
2005
Wick calculus: a time-frequency approach. Zbl 1075.35126
Cordero, Elena; Rodino, Luigi
2005
Inhomogeneous Gevrey classes and ultradistributions. Zbl 1065.46026
Calvo, Daniela; Morando, Alessandro; Rodino, Luigi
2004
Analytic and Gevrey solutions of nonlinear partial differential equations. Zbl 1075.35129
de Donno, G.; Oliaro, A.; Rodino, L.
2004
Some results on the strengthened CBS inequality for biorthogonal wavelets. Zbl 1060.42029
de Rossi, Alessandra; Rodino, Luigi
2004
Local solvability for partial differential equations with multiple characteristics. Zbl 1069.35004
Oliaro, Alessandro; Popivanov, Petar; Rodino, Luigi
2004
Microlocal analysis and applications. Zbl 1067.35163
Cordero, E.; Nicola, F.; Rodino, L.
2004
Strengthened Cauchy-Schwarz inequality for biorthogonal wavelets in Sobolev spaces. Zbl 1058.42026
De Rossi, A.; Rodino, L.
2004
Quantization and pseudo-differential operators. Zbl 1369.47065
Boggiatto, Paolo; Rodino, Luigi
2003
Solvability for semilinear PDE with multiple characteristics. Zbl 1024.35003
Oliaro, Alessandro; Rodino, Luigi
2003
Hypoellipticity and local solvability in Gevrey classes. Zbl 1056.35049
Albanese, Angela A.; Corli, Andrea; Rodino, Luigi
2002
A strengthened Cauchy-Schwarz inequality for bidimensional spline-wavelets. Zbl 1017.42026
De Rossi, Alessandra; Rodino, Luigi
2002
Paradifferential calculus in Gevrey classes. Zbl 0990.35141
Chen, Hua; Rodino, Luigi
2001
Local solvability for nonlinear partial differential equations. Zbl 1042.35521
Messina, Francesca; Rodino, Luigi
2001
Partial differential operators with multiple symplectic characteristics. Zbl 0991.35017
Rodino, Luigi; Mascarello, Maria; Tri, Nguyen Minh
2001
Gevrey hypoellipticity for equations with involutive characteristics of higher multiplicity. Zbl 0961.35029
De Donno, G.; Rodino, L.
2000
Gevrey hypoellipticity for partial differential equations with characteristics of higher multiplicity. Zbl 1072.35214
Rodino, Luigi; De Donno, Giuseppe
2000
Cauchy problem for SG-hyperbolic equations with constant multiplicities. Zbl 0935.35106
Coriasco, Sandro; Rodino, Luigi
1999
Gevrey solvability for semilinear partial differential equations with multiple characteristics. Zbl 0924.35030
Gramchev, Todor; Rodino, Luigi
1999
Nonlinear microlocal analysis. Zbl 0989.35012
Garello, G.; Rodino, L.
1999
Partial differential equations of multi-quasi-elliptic type. Zbl 1200.35055
Rodino, Luigi; Boggiatto, Paolo
1999
Partial differential equations with multiple characteristics. Zbl 0888.35001
Mascarello, Maria; Rodino, Luigi
1997
Linear partial differential equations with multiple involutive characteristics. Zbl 0884.35184
Liess, O.; Rodino, L.
1997
Nonlinear microlocal analysis and applications in Gevrey classes. Zbl 0881.35135
Chen, Hua; Rodino, Luigi
1997
Existence and uniqueness for a nonlinear fractional differential equation. Zbl 0881.34005
Delbosco, Domenico; Rodino, Luigi
1996
Global hypoellipticity and spectral theory. Zbl 0878.35001
Boggiatto, Paolo; Buzano, Ernesto; Rodino, Luigi
1996
General theory of PDE and Gevrey classes. Zbl 0864.35130
Chen, Hua; Rodino, Luigi
1996
Micro-elliptic Gevrey regularity for nonlinear partial differential equations. Zbl 0860.35153
Chen, Hua; Rodino, Luigi
1996
Multi-quasi-elliptic operators in $$\mathbb{R}^ n$$. Zbl 0884.35186
Boggiatto, P.; Buzano, E.; Rodino, L.
1995
Linear partial differential operators in Gevrey spaces. Zbl 0869.35005
Rodino, Luigi
1993
On the problem of the hypoellipticity of the linear partial differential equations. Zbl 0898.35119
Rodino, Luigi
1992
Microlocal analysis and applications. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.), held at Montecatini Terme, Italy, July 3-11, 1989. Zbl 0747.00025
Cattabriga, Lamberto (ed.); Rodino, Luigi (ed.)
1991
The problem of the local solvability of the linear partial differential equations. Zbl 0745.35003
Corli, Andrea; Rodino, Luigi
1991
Analytic-Gevrey hypoellipticity for a class of pseudo-differential operators with multiple characteristics. Zbl 0704.35035
Cattabriga, L.; Rodino, L.; Zanghirati, L.
1990
Analytic and Gevrey regularity for linear partial differential operators. Zbl 0768.35016
Albano, Luisa; Rodino, Luigi
1989
Fourier integral operators and inhomogeneous Gevrey classes. Zbl 0675.35090
Liess, Otto; Rodino, Luigi
1988
Gevrey solvability for hyperbolic operators with constant multiplicity. Zbl 0739.35002
Rodino, L.; Corli, A.
1988
Hypoellipticité analytique-Gevrey et itérés d’opérateurs. (Analytic-Gevrey hypoellipticity and the iterates of operators). Zbl 0701.35055
Bolley, P.; Camus, J.; Rodino, L.
1987
Local solvability in Gevrey classes. Zbl 0729.35002
Rodino, L.
1987
Pseudo-differential operators with multiple characteristics and Gevrey singularities. Zbl 0597.58034
Rodino, Luigi; Zanghirati, Luisa
1986
Propagation of singularities for inhomogeneous pseudodifferential operators. Zbl 0619.35119
Delbosco, D.; Rodino, L.; Rossati, F.
1986
The Riemann-Hilbert boundary problem in a bicylinder. Zbl 0592.35100
Duduchava, R.; Rodino, L.
1985
Inhomogeneous Gevrey classes and related pseudodifferential operators. Zbl 0557.35131
Liess, Otto; Rodino, Luigi
1984
Microlocal analysis for spatially inhomogeneous pseudo differential operators. Zbl 0501.35082
Rodino, Luigi
1982
A class of pseudo differential operators with multiple non-involutive characteristics. Zbl 0441.35069
Mascarello Rodino, Maria; Rodino, Luigi
1981
Gevrey hypoellipticity for a class of operators with multiple characteristics. Zbl 0501.35021
Rodino, L.
1981
Examples of hypoelliptic operators which are not microhypoelliptic. Zbl 0407.35074
Parenti, Cesare; Rodino, Luigi
1980
...and 13 more Documents
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#### Cited by 800 Authors

 44 Nicola, Fabio 40 Rodino, Luigi 29 Toft, Joachim 28 Cordero, Elena 28 Pilipović, Stevan 27 Cappiello, Marco 20 Gramchev, Todor V. 16 Ruzhansky, Michael V. 16 Teofanov, Nenad 15 Coriasco, Sandro 15 Oliaro, Alessandro 12 Prangoski, Bojan 12 Wahlberg, Patrik 11 Prasad, Akhilesh 10 Han, Zhenlai 10 Jornet, David 10 Zhao, Yige 9 Boggiatto, Paolo 9 Petronilho, Gerson 9 Sun, Shurong 9 Trujillo, Juan J. 9 Vindas, Jasson 8 Băleanu, Dumitru I. 8 Benchohra, Mouffak 8 Li, Haoguang 8 Schulz, René M. 8 Wong, Man Wah 8 Xu, Chao-Jiang 7 Albanese, Angela Anna 7 Ascanelli, Alessia 7 Ghazaryan, Hayk G. 7 Gröchenig, Karlheinz 7 Li, Weixi 7 Margaryan, Vachagan N. 7 Parmeggiani, Alberto 7 Popivanov, Petar Radoev 6 Balachandran, Krishnan 6 Boiti, Chiara 6 Chen, Hua 6 Garello, Gianluca 6 Mughetti, Marco 6 Pravda-Starov, Karel 6 Trapasso, Salvatore Ivan 6 Zhang, Shuqin 5 Bai, Zhanbing 5 de Gosson, Maurice Alexis 5 Fernández, Carmen 5 Galbis, Antonio 5 Garetto, Claudia 5 Hamani, Samira 5 Hoepfner, Gustavo 5 Li, Qiuping 5 Liu, Wenbin 5 Los’, V. M. 5 Tian, Yuansheng 5 Tokmagambetov, Niyaz Esenzholovich 5 Tomić, Filip 5 Zanghirati, Luisa 4 Abdeljawad, Ahmed 4 Bernier, Joackim 4 Chen, Anping 4 Chen, Taiyong 4 Cordaro, Paulo D. 4 Dattori da Silva, Paulo L. 4 Ebert, Marcelo Rempel 4 Federico, Serena 4 Himonas, A. Alexandrou 4 Kou, Chunhai 4 Li, Changpin 4 Meurer, Thomas 4 Morando, Alessandro 4 Murach, Aleksandr A. 4 Nieto Roig, Juan Jose 4 Sadarangani, Kishin B. 4 Tri, Nguyen Minh 4 Wang, Baoxiang 4 Wang, Fang 4 Yuan, Chengjun 4 Zhang, Zufeng 4 Zhou, Yong 3 Abdo, Mohammed Salem 3 Agarwal, Ravi P. 3 Babakhani, Azizollah 3 Bai, Chuanzhi 3 Barostichi, Rafael F. 3 Bhalekar, Sachin 3 Borsero, Massimo 3 Buzano, Ernesto 3 Calvo, Daniela 3 Chen, Fulai 3 Chen, Yangquan 3 Chen, Yuanyuan 3 Chung, Soon-Yeong 3 D’Abbicco, Marcello 3 Daftardar-Gejji, Varsha 3 D’Ancona, Piero 3 Dasgupta, Aparajita 3 De Donno, Giuseppe 3 Debrouwere, Andreas 3 Deng, Jiqin ...and 700 more Authors
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#### Cited in 200 Serials

 51 Journal of Pseudo-Differential Operators and Applications 43 Journal of Mathematical Analysis and Applications 34 Journal of Differential Equations 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 The Journal of Fourier Analysis and Applications 17 Computers & Mathematics with Applications 17 Annali di Matematica Pura ed Applicata. Serie Quarta 17 Journal of Functional Analysis 17 Abstract and Applied Analysis 16 Advances in Difference Equations 14 Transactions of the American Mathematical Society 13 Communications in Partial Differential Equations 11 Journal d’Analyse Mathématique 11 Integral Transforms and Special Functions 10 Applied Mathematics and Computation 10 Proceedings of the American Mathematical Society 10 Mediterranean Journal of Mathematics 9 Ukrainian Mathematical Journal 9 Mathematische Nachrichten 7 Journal of Mathematical Physics 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Applied and Computational Harmonic Analysis 7 Journal of Applied Mathematics and Computing 7 Boundary Value Problems 7 Complex Variables and Elliptic Equations 6 Applicable Analysis 6 Automatica 6 Integral Equations and Operator Theory 6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 5 Communications in Mathematical Physics 5 Rocky Mountain Journal of Mathematics 5 Advances in Mathematics 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Monatshefte für Mathematik 5 Fractional Calculus & Applied Analysis 5 Communications in Nonlinear Science and Numerical Simulation 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Rendiconti del Seminario Matematico della Università di Padova 4 Revista Matemática Iberoamericana 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Potential Analysis 4 Bulletin des Sciences Mathématiques 4 Discrete and Continuous Dynamical Systems 4 Positivity 4 Discrete Dynamics in Nature and Society 4 Acta Mathematica Sinica. English Series 4 Journal of Function Spaces 3 Reviews in Mathematical Physics 3 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 3 Collectanea Mathematica 3 Osaka Journal of Mathematics 3 Mathematical and Computer Modelling 3 Forum Mathematicum 3 Journal of Mathematical Sciences (New York) 3 Journal of Inverse and Ill-Posed Problems 3 Mathematical Problems in Engineering 3 Differential Equations and Dynamical Systems 3 Journal of Applied Mathematics 3 Analysis and Applications (Singapore) 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Complex Analysis and Operator Theory 3 Nonlinear Analysis. Hybrid Systems 2 Archive for Rational Mechanics and Analysis 2 Inverse Problems 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Arkiv för Matematik 2 Archiv der Mathematik 2 Fuzzy Sets and Systems 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Annals of Global Analysis and Geometry 2 Applied Mathematics Letters 2 Indagationes Mathematicae. New Series 2 Journal of Inequalities and Applications 2 Revista Matemática Complutense 2 Annales Henri Poincaré 2 Journal of Evolution Equations 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Communications on Pure and Applied Analysis 2 Journal of Noncommutative Geometry 2 Kinetic and Related Models 2 Applied General Topology 2 Eurasian Mathematical Journal 2 Analysis and Mathematical Physics 2 Arabian Journal of Mathematics 2 Transactions of the American Mathematical Society. Series B 2 Annales Henri Lebesgue 1 Computer Methods in Applied Mechanics and Engineering 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Dissertationes Mathematicae 1 Functiones et Approximatio. Commentarii Mathematici 1 International Journal of Mathematics and Mathematical Sciences ...and 100 more Serials
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#### Cited in 42 Fields

 404 Partial differential equations (35-XX) 220 Operator theory (47-XX) 193 Ordinary differential equations (34-XX) 147 Functional analysis (46-XX) 103 Harmonic analysis on Euclidean spaces (42-XX) 70 Real functions (26-XX) 40 Integral equations (45-XX) 37 Global analysis, analysis on manifolds (58-XX) 24 Numerical analysis (65-XX) 24 Quantum theory (81-XX) 21 Systems theory; control (93-XX) 19 Integral transforms, operational calculus (44-XX) 18 Several complex variables and analytic spaces (32-XX) 12 Fluid mechanics (76-XX) 11 Probability theory and stochastic processes (60-XX) 10 Functions of a complex variable (30-XX) 9 Special functions (33-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Abstract harmonic analysis (43-XX) 8 General topology (54-XX) 7 Topological groups, Lie groups (22-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Approximations and expansions (41-XX) 5 Differential geometry (53-XX) 5 Mechanics of deformable solids (74-XX) 4 Field theory and polynomials (12-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 $$K$$-theory (19-XX) 2 Potential theory (31-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

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