## Rodino, Luigi

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 Author ID: rodino.luigi Published as: Rodino, Luigi; Rodino, L.; Rodino, Luigi G. more...less External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 143 Publications since 1975, including 5 Books 17 Contributions as Editor Reviewing Activity: 549 Reviews Biographic References: 2 Publications Co-Authors: 64 Co-Authors with 133 Joint Publications 1,207 Co-Co-Authors
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### Co-Authors

 27 single-authored 26 Cordero, Elena 26 Nicola, Fabio 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 Nguyễn Minh Trí 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 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 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 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali 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 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Applied and Computational Harmonic Analysis 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 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 Mathematical Topics 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 1 Mathematical Research
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### Fields

 137 Partial differential equations (35-XX) 52 Operator theory (47-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 20 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) 5 Quantum theory (81-XX) 4 Real functions (26-XX) 3 History and biography (01-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) 3 Information and communication theory, circuits (94-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

115 Publications have been cited 1,446 times in 881 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
Wiener algebras of Fourier integral operators. Zbl 1306.42045
Cordero, Elena; Gröchenig, Karlheinz; Nicola, Fabio; Rodino, Luigi
2013
Quasianalytic Gelfand-Shilov spaces with application to localization operators. Zbl 1200.47065
Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad
2010
The Gabor wave front set. Zbl 1366.42030
Rodino, Luigi; Wahlberg, Patrik
2014
Classes of degenerate elliptic operators in Gelfand–Shilov spaces. Zbl 1170.47031
Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi
2007
Partial differential equations with multiple characteristics. Zbl 0888.35001
Mascarello, Maria; Rodino, Luigi
1997
Sparsity of Gabor representation of Schrödinger propagators. Zbl 1171.35133
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2009
Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients. Zbl 1104.35049
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2006
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
On the global boundedness of Fourier integral operators. Zbl 1200.35347
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2010
Gabor representations of evolution operators. Zbl 1338.35519
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Boundedness of Fourier integral operators on $$\mathcal {F}L^p$$ spaces. Zbl 1178.35398
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2009
Localization operators and exponential weights for modulation spaces. Zbl 1171.47303
Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad
2005
Inhomogeneous Gevrey classes and related pseudodifferential operators. Zbl 0557.35131
Liess, Otto; Rodino, Luigi
1984
SG-pseudodifferential operators and Gelfand-Shilov spaces. Zbl 1158.35111
Cappiello, Marco; Rodino, Luigi
2006
Schrödinger equations with rough Hamiltonians. Zbl 1334.35458
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
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
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
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
Eigenfunction expansions in $$\mathbb R^{n}$$. Zbl 1231.35133
Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi
2011
Time-frequency analysis of operators. Zbl 07204958
Cordero, Elena; Rodino, Luigi
2020
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
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
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
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
Localization operators and time-frequency analysis. Zbl 1149.47035
Cordero, Elena; Rodino, Luigi; Gröchenig, Karlheinz
2007
Quantization and pseudo-differential operators. Zbl 1369.47065
Boggiatto, Paolo; Rodino, Luigi
2003
Gelfand-Shilov spaces, pseudo-differential operators and localization operators. Zbl 1137.35088
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2007
Integral representations for the class of generalized metaplectic operators. Zbl 1341.42019
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Microlocal analysis for spatially inhomogeneous pseudo differential operators. Zbl 0501.35082
Rodino, Luigi
1982
Global regularity and stability in $$S$$-spaces for classes of degenerate Shubin operators. Zbl 1228.47048
Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi
2010
Parametrices for a class of pseudo differential operators. I. Zbl 0406.35065
Parenti, C.; Rodino, L.
1980
Parametrices for a class of pseudo differential operators. II. Zbl 0406.35066
Parenti, C.; Rodino, L.
1980
A class of pseudo differential operators with multiple non-involutive characteristics. Zbl 0441.35069
Mascarello Rodino, Maria; Rodino, Luigi
1981
Residues and index for bisingular operators. Zbl 1114.58024
Nicola, Fabio; Rodino, Luigi
2006
Propagation of Gabor singularities for semilinear Schrödinger equations. Zbl 1328.35215
Nicola, Fabio; Rodino, Luigi
2015
Gelfand-Shilov type spaces through Hermite expansions. Zbl 1345.46033
Gramchev, Todor; Lecke, Alexander; Pilipović, Stevan; Rodino, Luigi
2015
Dixmier traceability for general pseudo-differential operators. Zbl 1146.35100
Nicola, Fabio; Rodino, Luigi
2008
On the inverse to the harmonic oscillator. Zbl 1318.35091
Cappiello, Marco; Rodino, Luigi; Toft, Joachim
2015
Spectral properties of the twisted bi-Laplacian. Zbl 1186.47041
Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Wong, M. W.
2009
Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces. Zbl 1454.35100
Cappiello, Marco; Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi
2019
Iterates of operators and Gelfand-Shilov classes. Zbl 1227.47044
Calvo, Daniela; Rodino, Luigi
2011
Wick calculus: a time-frequency approach. Zbl 1075.35126
Cordero, Elena; Rodino, Luigi
2005
Schrödinger equations in modulation spaces. Zbl 1273.35336
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2013
Paradifferential calculus in Gevrey classes. Zbl 0990.35141
Chen, Hua; Rodino, Luigi
2001
Global regularity for ordinary differential operators with polynomial coefficients. Zbl 1300.47051
Nicola, Fabio; Rodino, Luigi
2013
Decay estimates for solutions of nonlocal semilinear equations. Zbl 1359.35067
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2015
Local solvability in Gevrey classes. Zbl 0729.35002
Rodino, L.
1987
Fourier integral operators and inhomogeneous Gevrey classes. Zbl 0675.35090
Liess, Otto; Rodino, Luigi
1988
Analytic-Gevrey hypoellipticity for a class of pseudo-differential operators with multiple characteristics. Zbl 0704.35035
Cattabriga, L.; Rodino, L.; Zanghirati, L.
1990
Inhomogeneous Gevrey classes and ultradistributions. Zbl 1065.46026
Calvo, Daniela; Morando, Alessandro; Rodino, Luigi
2004
Exponential decay and regularity for SG-elliptic operators with polynomial coefficients. Zbl 1387.35167
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi
2007
A pseudo differential operator which shifts the wave front set. Zbl 0377.35064
Parenti, Cesare; Rodino, Luigi
1978
On the $$L^2$$ continuity of a class of pseudo differential operators. Zbl 0324.35083
Rodino, Luigi
1976
Short-time Fourier transform analysis of localization operators. Zbl 1166.47048
Cordero, Elena; Rodino, Luigi
2008
A Pizzetti-type formula for the heat operator. Zbl 1101.35007
Da Lio, Francesca; Rodino, Luigi
2006
Solvability for semilinear PDE with multiple characteristics. Zbl 1024.35003
Oliaro, Alessandro; Rodino, Luigi
2003
Almost periodic pseudodifferential operators and Gevrey classes. Zbl 1253.35233
Oliaro, Alessandro; Rodino, Luigi; Wahlberg, Patrik
2012
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
On the boundedness of pseudo differential operators in the class $$L^m_{\rho,1}$$. Zbl 0329.47018
Rodino, Luigi
1976
Elliptic pseudo differential operators degenerate on a symplectic submanifold. Zbl 0337.35020
Helffer, Bernard; Rodino, Luigi
1976
Linear partial differential equations with multiple involutive characteristics. Zbl 0884.35184
Liess, O.; Rodino, L.
1997
Local solvability for nonlinear partial differential equations. Zbl 1042.35521
Messina, Francesca; Rodino, Luigi
2001
Gevrey hypoellipticity for a class of operators with multiple characteristics. Zbl 0501.35021
Rodino, L.
1981
Opérateurs différentiels ordinaires intervenant dans l’étude de l’hypoellipticite. Zbl 0358.58011
Helffer, B.; Rodino, L.
1977
Nonsolvability of a higher order degenerate elliptic pseudodifferential equation. Zbl 0405.35076
Rodino, Luigi
1980
Polysingular integral operators. Zbl 0445.45026
Rodino, Luigi
1980
Strengthened Cauchy-Schwarz inequality for biorthogonal wavelets in Sobolev spaces. Zbl 1058.42026
De Rossi, A.; Rodino, L.
2004
Gevrey solvability for hyperbolic operators with constant multiplicity. Zbl 0739.35002
Rodino, L.; Corli, A.
1988
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
1991
Time-frequency analysis of Schrödinger propagators. Zbl 1257.35201
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2012
Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Zbl 1255.47001
2013
Gevrey hypoellipticity for equations with involutive characteristics of higher multiplicity. Zbl 0961.35029
De Donno, G.; Rodino, L.
2000
Metaplectic equivalence of the hierarchical twisted Laplacian. Zbl 1276.47064
Molahajloo, Shahla; Rodino, Luigi; Wong, M. W.
2013
A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions. Zbl 1338.35523
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2014
The Riemann-Hilbert boundary problem in a bicylinder. Zbl 0592.35100
Duduchava, R.; Rodino, L.
1985
Propagation of singularities for inhomogeneous pseudodifferential operators. Zbl 0619.35119
Delbosco, D.; Rodino, L.; Rossati, F.
1986
Two examples of pseudo differential operators with multiple characteristics. Zbl 0343.35017
Rodino, Luigi; Rodino, Maria Mascarello
1976
On the boundedness of pseudodifferential operators in the class $$L^m_{\rho,1}$$. Zbl 0309.47039
Rodino, Luigi
1976
A strengthened Cauchy-Schwarz inequality for bidimensional spline-wavelets. Zbl 1017.42026
De Rossi, Alessandra; Rodino, Luigi
2002
A two dimensional Adler-Manin trace and bi-singular operators. Zbl 1279.58013
2013
On general pseudodifferential operators. Zbl 0433.35075
Parenti, C.; Rodino, L.
1980
Microlocal analysis and applications. Zbl 1067.35163
Cordero, E.; Nicola, F.; Rodino, L.
2004
Local solvability for partial differential equations with multiple characteristics. Zbl 1069.35004
Oliaro, Alessandro; Popivanov, Petar; Rodino, Luigi
2004
Some results on the strengthened CBS inequality for biorthogonal wavelets. Zbl 1060.42029
de Rossi, Alessandra; Rodino, Luigi
2004
Analytic and Gevrey solutions of nonlinear partial differential equations. Zbl 1075.35129
de Donno, G.; Oliaro, A.; Rodino, L.
2004
Gevrey hypoellipticity for partial differential equations with characteristics of higher multiplicity. Zbl 1072.35214
Rodino, Luigi; De Donno, Giuseppe
2000
An introduction to the Gabor wave front set. Zbl 1465.35012
Rodino, Luigi; Trapasso, S. Ivan
2021
Time-frequency analysis of operators. Zbl 07204958
Cordero, Elena; Rodino, Luigi
2020
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 analysis for Schrödinger equations and propagation of singularities. Zbl 1381.47033
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2017
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
Integral representations for the class of generalized metaplectic operators. Zbl 1341.42019
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
2015
Propagation of Gabor singularities for semilinear Schrödinger equations. Zbl 1328.35215
Nicola, Fabio; Rodino, Luigi
2015
Gelfand-Shilov type spaces through Hermite expansions. Zbl 1345.46033
Gramchev, Todor; Lecke, Alexander; Pilipović, Stevan; Rodino, Luigi
2015
On the inverse to the harmonic oscillator. Zbl 1318.35091
Cappiello, Marco; Rodino, Luigi; Toft, Joachim
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
Global regularity for ordinary differential operators with polynomial coefficients. Zbl 1300.47051
Nicola, Fabio; Rodino, Luigi
2013
Globally bisingular elliptic operators. Zbl 1302.35486
Battisti, U.; Gramchev, T.; Rodino, L.; Pilipović, S.
2013
Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Zbl 1255.47001
2013
Metaplectic equivalence of the hierarchical twisted Laplacian. Zbl 1276.47064
Molahajloo, Shahla; Rodino, Luigi; Wong, M. W.
2013
A two dimensional Adler-Manin trace and bi-singular operators. Zbl 1279.58013
2013
Almost periodic pseudodifferential operators and Gevrey classes. Zbl 1253.35233
Oliaro, Alessandro; Rodino, Luigi; Wahlberg, Patrik
2012
Time-frequency analysis of Schrödinger propagators. Zbl 1257.35201
Cordero, Elena; Nicola, Fabio; Rodino, Luigi
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
Strengthened Cauchy-Schwarz inequality for biorthogonal wavelets in Sobolev spaces. Zbl 1058.42026
De Rossi, A.; Rodino, L.
2004
Microlocal analysis and applications. Zbl 1067.35163
Cordero, E.; Nicola, F.; Rodino, L.
2004
Local solvability for partial differential equations with multiple characteristics. Zbl 1069.35004
Oliaro, Alessandro; Popivanov, Petar; Rodino, Luigi
2004
Some results on the strengthened CBS inequality for biorthogonal wavelets. Zbl 1060.42029
de Rossi, Alessandra; Rodino, Luigi
2004
Analytic and Gevrey solutions of nonlinear partial differential equations. Zbl 1075.35129
de Donno, G.; Oliaro, 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; Nguyen Minh Tri
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
Partial differential equations of multi-quasi-elliptic type. Zbl 1200.35055
Rodino, Luigi; Boggiatto, Paolo
1999
Nonlinear microlocal analysis. Zbl 0989.35012
Garello, G.; Rodino, L.
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
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
...and 15 more Documents
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### Cited by 892 Authors

 48 Nicola, Fabio 42 Rodino, Luigi 37 Pilipović, Stevan 33 Cordero, Elena 32 Toft, Joachim 29 Cappiello, Marco 20 Gramchev, Todor V. 20 Teofanov, Nenad 18 Oliaro, Alessandro 18 Prangoski, Bojan 18 Ruzhansky, Michael V. 16 Coriasco, Sandro 16 Prasad, Akhilesh 14 Wahlberg, Patrik 12 Jornet, David 11 Trapasso, Salvatore Ivan 11 Wong, Man Wah 10 Han, Zhenlai 10 Vindas, Jasson 10 Zhao, Yige 9 Boggiatto, Paolo 9 Petronilho, Gerson 9 Sun, Shurong 9 Trujillo, Juan J. 8 Ascanelli, Alessia 8 Băleanu, Dumitru I. 8 Benchohra, Mouffak 8 Boiti, Chiara 8 Ghazaryan, Hayk G. 8 Li, Haoguang 8 Margaryan, Vachagan N. 8 Schulz, René M. 7 Albanese, Angela Anna 7 Dattori da Silva, Paulo L. 7 Garello, Gianluca 7 Gröchenig, Karlheinz 7 Li, Weixi 7 Parmeggiani, Alberto 7 Popivanov, Petar Radoev 7 Pravda-Starov, Karel 7 Xu, Chao-Jiang 6 Balachandran, Krishnan 6 Chen, Hua 6 Galbis, Antonio 6 Garetto, Claudia 6 Los, Valerii M. 6 Mandal, Upain Kumar 6 Mughetti, Marco 6 Nguyễn Minh Trí 6 Nieto Roig, Juan Jose 6 Tomić, Filip 6 Zhang, Shuqin 5 Abdo, Mohammed Salem 5 Ardjouni, Abdelouaheb 5 Bai, Zhanbing 5 Bernier, Joackim 5 de Gosson, Maurice Alexis 5 Feichtinger, Hans Georg 5 Fernández, Carmen 5 Hamani, Samira 5 Hoepfner, Gustavo 5 Li, Qiuping 5 Liu, Wenbin 5 Morando, Alessandro 5 Murach, Aleksandr A. 5 Panchal, Satish Kushaba 5 Tian, Yuansheng 5 Tokmagambetov, Niyaz Esenzholovich 5 Zanghirati, Luisa 4 Abdeljawad, Ahmed 4 Bastianoni, Federico 4 Buzano, Ernesto 4 Chen, Anping 4 Chen, Taiyong 4 Chen, Yuanyuan 4 Cordaro, Paulo D. 4 Debrouwere, Andreas 4 Delgado, Julio 4 Disconzi, Marcelo Mendes 4 Ebert, Marcelo Rempel 4 Federico, Serena 4 Himonas, A. Alexandrou 4 Kalleji, Morteza Koozehgar 4 Kiran, N. Uday 4 Kou, Chunhai 4 Li, Changpin 4 Mahato, Kanailal 4 Manna, Ramesh 4 Meurer, Thomas 4 Sadarangani, Kishin B. 4 Schindl, Gerhard 4 Tomita, Naohito 4 Wang, Baoxiang 4 Wang, Fang 4 Yuan, Chengjun 4 Zhang, Zufeng 4 Zhou, Yong 3 Agarwal, Ravi P. 3 Asensio, Vicente 3 Babakhani, Azizollah ...and 792 more Authors
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### Cited in 237 Serials

 58 Journal of Pseudo-Differential Operators and Applications 45 Journal of Mathematical Analysis and Applications 39 Journal of Differential Equations 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Journal of Functional Analysis 21 The Journal of Fourier Analysis and Applications 18 Annali di Matematica Pura ed Applicata. Serie Quarta 17 Computers & Mathematics with Applications 17 Abstract and Applied Analysis 16 Advances in Difference Equations 14 Transactions of the American Mathematical Society 14 Integral Transforms and Special Functions 13 Proceedings of the American Mathematical Society 13 Communications in Partial Differential Equations 12 Mediterranean Journal of Mathematics 11 Journal d’Analyse Mathématique 10 Applied Mathematics and Computation 9 Ukrainian Mathematical Journal 9 Mathematische Nachrichten 9 Applied and Computational Harmonic Analysis 9 Boundary Value Problems 8 Complex Variables and Elliptic Equations 7 Journal of Mathematical Physics 7 Automatica 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 7 Journal of Applied Mathematics and Computing 6 Applicable Analysis 6 Rocky Mountain Journal of Mathematics 6 Advances in Mathematics 6 Integral Equations and Operator Theory 6 Monatshefte für Mathematik 6 Filomat 5 Communications in Mathematical Physics 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Bulletin des Sciences Mathématiques 5 Discrete and Continuous Dynamical Systems 5 Fractional Calculus & Applied Analysis 5 Communications in Nonlinear Science and Numerical Simulation 5 Complex Analysis and Operator Theory 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of Function Spaces 4 Collectanea Mathematica 4 Osaka Journal of Mathematics 4 Rendiconti del Seminario Matematico della Università di Padova 4 Revista Matemática Iberoamericana 4 Potential Analysis 4 Differential Equations and Dynamical Systems 4 Positivity 4 Discrete Dynamics in Nature and Society 4 Acta Mathematica Sinica. English Series 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications on Pure and Applied Analysis 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Analysis and Mathematical Physics 3 Archive for Rational Mechanics and Analysis 3 Reviews in Mathematical Physics 3 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 3 Results in Mathematics 3 Journal of Complexity 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 Journal of Inequalities and Applications 3 Journal of Evolution Equations 3 Journal of Applied Mathematics 3 Journal of the Institute of Mathematics of Jussieu 3 Analysis and Applications (Singapore) 3 Nonlinear Analysis. Hybrid Systems 2 Inverse Problems 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Reports on Mathematical Physics 2 Arkiv för Matematik 2 Annales de l’Institut Fourier 2 Archiv der Mathematik 2 Fuzzy Sets and Systems 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Stochastic Analysis and Applications 2 Annals of Global Analysis and Geometry 2 Applied Mathematics Letters 2 Journal of Integral Equations and Applications 2 International Journal of Computer Mathematics 2 Indagationes Mathematicae. New Series 2 Calculus of Variations and Partial Differential Equations 2 Russian Journal of Mathematical Physics 2 Revista Matemática Complutense 2 Annales Henri Poincaré 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Proyecciones 2 Journal of Noncommutative Geometry 2 Banach Journal of Mathematical Analysis 2 Kinetic and Related Models ...and 137 more Serials
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### Cited in 47 Fields

 477 Partial differential equations (35-XX) 266 Operator theory (47-XX) 217 Ordinary differential equations (34-XX) 189 Functional analysis (46-XX) 133 Harmonic analysis on Euclidean spaces (42-XX) 84 Real functions (26-XX) 44 Integral equations (45-XX) 41 Global analysis, analysis on manifolds (58-XX) 35 Quantum theory (81-XX) 31 Numerical analysis (65-XX) 26 Integral transforms, operational calculus (44-XX) 24 Systems theory; control (93-XX) 20 Several complex variables and analytic spaces (32-XX) 17 Probability theory and stochastic processes (60-XX) 16 Abstract harmonic analysis (43-XX) 14 Fluid mechanics (76-XX) 13 Topological groups, Lie groups (22-XX) 13 Functions of a complex variable (30-XX) 10 Special functions (33-XX) 9 Approximations and expansions (41-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 General topology (54-XX) 6 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Differential geometry (53-XX) 4 Information and communication theory, circuits (94-XX) 3 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 $$K$$-theory (19-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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