Edit Profile (opens in new tab) Rodino, Luigi Co-Author Distance Author ID: rodino.luigi Published as: Rodino, Luigi; Rodino, L.; Rodino, Luigi G. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 156 Publications since 1975, including 5 Books and 5 Additional arXiv Preprints 17 Contributions as Editor Reviewing Activity: 574 Reviews Biographic References: 2 Publications Co-Authors: 65 Co-Authors with 145 Joint Publications 1,386 Co-Co-Authors all top 5 Co-Authors 27 single-authored 33 Cordero, Elena 28 Nicola, Fabio 19 Gramchev, Todor V. 15 Cappiello, Marco 11 Pilipović, Stevan 8 Wong, Man Wah 7 Wahlberg, Patrik 6 Boggiatto, Paolo 6 Parenti, Cesare 5 Calvo, Daniela 5 Chen, Hua 5 Giacchi, Gianluca 5 Toft, Joachim 4 De Donno, Giuseppe 4 Gröchenig, Karlheinz 4 Liess, Otto 4 Oliaro, Alessandro 3 Buzano, Ernesto 3 Corli, Andrea 3 De Rossi, Alessandra 3 Delbosco, Domenico 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 Valenzano, Mario 1 Vindas, Jasson 1 Wahlberg, Patrick 1 Zhu, Hongmei all top 5 Serials 7 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 Journal of Functional Analysis 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Transactions of the American Mathematical Society 2 PLISKA. Studia Mathematica Bulgarica 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 NoDEA. Nonlinear Differential Equations and Applications 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 Communications in Mathematical Physics 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 Mathematics of Kyoto University 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 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 Journal of Evolution Equations 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 Pitman Research Notes in Mathematics Series 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 all top 5 Fields 148 Partial differential equations (35-XX) 58 Operator theory (47-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 24 Functional analysis (46-XX) 19 Global analysis, analysis on manifolds (58-XX) 19 Numerical analysis (65-XX) 17 General and overarching topics; collections (00-XX) 10 Quantum theory (81-XX) 5 Integral equations (45-XX) 5 Information and communication theory, circuits (94-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) 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 128 Publications have been cited 1,842 times in 1,088 Documents Cited by ▼ Year ▼ Existence and uniqueness for a nonlinear fractional differential equation. Zbl 0881.34005 Delbosco, Domenico; Rodino, Luigi 272 1996 Linear partial differential operators in Gevrey spaces. Zbl 0869.35005 Rodino, Luigi 229 1993 Global pseudo-differential calculus on Euclidean spaces. Zbl 1257.47002 Nicola, Fabio; Rodino, Luigi 162 2010 Global hypoellipticity and spectral theory. Zbl 0878.35001 Boggiatto, Paolo; Buzano, Ernesto; Rodino, Luigi 68 1996 Time-frequency analysis of operators. Zbl 07204958 Cordero, Elena; Rodino, Luigi 47 2020 Classes of degenerate elliptic operators in Gelfand–Shilov spaces. Zbl 1170.47031 Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi 47 2007 Wiener algebras of Fourier integral operators. Zbl 1306.42045 Cordero, Elena; Gröchenig, Karlheinz; Nicola, Fabio; Rodino, Luigi 42 2013 Time-frequency analysis of Fourier integral operators. Zbl 1196.42027 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 39 2010 Quasianalytic Gelfand-Shilov spaces with application to localization operators. Zbl 1200.47065 Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad 38 2010 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 35 2014 The Gabor wave front set. Zbl 1366.42030 Rodino, Luigi; Wahlberg, Patrik 35 2014 Partial differential equations with multiple characteristics. Zbl 0888.35001 Mascarello, Maria; Rodino, Luigi 34 1997 Sparsity of Gabor representation of Schrödinger propagators. Zbl 1171.35133 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 34 2009 On the global boundedness of Fourier integral operators. Zbl 1200.35347 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 29 2010 Boundedness of Fourier integral operators on \(\mathcal {F}L^p\) spaces. Zbl 1178.35398 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 29 2009 SG-pseudodifferential operators and Gelfand-Shilov spaces. Zbl 1158.35111 Cappiello, Marco; Rodino, Luigi 27 2006 Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians. Zbl 1384.35107 Pravda-Starov, Karel; Rodino, Luigi; Wahlberg, Patrik 26 2018 Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients. Zbl 1104.35049 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 25 2006 Localization operators and exponential weights for modulation spaces. Zbl 1171.47303 Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad 25 2005 Gabor representations of evolution operators. Zbl 1338.35519 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 23 2015 Propagation of the Gabor wave front set for Schrödinger equations with non-smooth potentials. Zbl 1314.35119 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 22 2015 Entire extensions and exponential decay for semilinear elliptic equations. Zbl 1217.35070 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 21 2010 Inhomogeneous Gevrey classes and related pseudodifferential operators. Zbl 0557.35131 Liess, Otto; Rodino, Luigi 20 1984 Schrödinger equations with rough Hamiltonians. Zbl 1334.35458 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 19 2015 Wave packet analysis of Schrödinger equations in analytic function spaces. Zbl 1318.35094 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 18 2015 Cauchy problem for SG-hyperbolic equations with constant multiplicities. Zbl 0935.35106 Coriasco, Sandro; Rodino, Luigi 18 1999 Sub-exponential decay and uniform holomorphic extensions for semilinear pseudodifferential equations. Zbl 1196.35239 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 15 2010 Eigenfunction expansions in \(\mathbb R^{n}\). Zbl 1231.35133 Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi 15 2011 General theory of PDE and Gevrey classes. Zbl 0864.35130 Chen, Hua; Rodino, Luigi 14 1996 Exponentially sparse representations of Fourier integral operators. Zbl 1433.35470 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 14 2015 On the boundedness of pseudo differential operators in the class \(L^m_{\rho,1}\). Zbl 0329.47018 Rodino, Luigi 14 1976 Wigner analysis of operators. I: Pseudodifferential operators and wave fronts. Zbl 1485.94017 Cordero, Elena; Rodino, Luigi 14 2022 A class of pseudo differential operators on the product of two manifolds and applications. Zbl 0308.35081 Rodino, Luigi 13 1975 Semilinear pseudo-differential equations and travelling waves. Zbl 1143.35100 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 13 2007 Hypoellipticité analytique-Gevrey et itérés d’opérateurs. (Analytic-Gevrey hypoellipticity and the iterates of operators). Zbl 0701.35055 Bolley, P.; Camus, J.; Rodino, L. 12 1987 Hypoellipticity and local solvability in Gevrey classes. Zbl 1056.35049 Albanese, Angela A.; Corli, Andrea; Rodino, Luigi 10 2002 Integral representations for the class of generalized metaplectic operators. Zbl 1341.42019 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 10 2015 Parametrices for a class of pseudo differential operators. I. Zbl 0406.35065 Parenti, C.; Rodino, L. 10 1980 Gevrey solvability for semilinear partial differential equations with multiple characteristics. Zbl 0924.35030 Gramchev, Todor; Rodino, Luigi 9 1999 Localization operators and time-frequency analysis. Zbl 1149.47035 Cordero, Elena; Rodino, Luigi; Gröchenig, Karlheinz 9 2007 Global regularity and stability in \(S\)-spaces for classes of degenerate Shubin operators. Zbl 1228.47048 Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi 9 2010 Gelfand-Shilov spaces, pseudo-differential operators and localization operators. Zbl 1137.35088 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 9 2007 Pseudo-differential operators with multiple characteristics and Gevrey singularities. Zbl 0597.58034 Rodino, Luigi; Zanghirati, Luisa 9 1986 Residues and index for bisingular operators. Zbl 1114.58024 Nicola, Fabio; Rodino, Luigi 9 2006 Wick calculus: a time-frequency approach. Zbl 1075.35126 Cordero, Elena; Rodino, Luigi 8 2005 Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces. Zbl 1454.35100 Cappiello, Marco; Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi 8 2019 On the inverse to the harmonic oscillator. Zbl 1318.35091 Cappiello, Marco; Rodino, Luigi; Toft, Joachim 8 2015 Examples of hypoelliptic operators which are not microhypoelliptic. Zbl 0407.35074 Parenti, Cesare; Rodino, Luigi 8 1980 Quantization and pseudo-differential operators. Zbl 1369.47065 Boggiatto, Paolo; Rodino, Luigi 8 2003 Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations. Zbl 1516.42019 Cordero, Elena; Rodino, Luigi 8 2023 Propagation of Gabor singularities for semilinear Schrödinger equations. Zbl 1328.35215 Nicola, Fabio; Rodino, Luigi 7 2015 Gelfand-Shilov type spaces through Hermite expansions. Zbl 1345.46033 Gramchev, Todor; Lecke, Alexander; Pilipović, Stevan; Rodino, Luigi 6 2015 Iterates of operators and Gelfand-Shilov classes. Zbl 1227.47044 Calvo, Daniela; Rodino, Luigi 6 2011 Microlocal analysis for spatially inhomogeneous pseudo differential operators. Zbl 0501.35082 Rodino, Luigi 6 1982 Dixmier traceability for general pseudo-differential operators. Zbl 1146.35100 Nicola, Fabio; Rodino, Luigi 6 2008 Globally bisingular elliptic operators. Zbl 1302.35486 Battisti, U.; Gramchev, T.; Rodino, L.; Pilipović, S. 6 2013 Parametrices for a class of pseudo differential operators. II. Zbl 0406.35066 Parenti, C.; Rodino, L. 6 1980 A class of pseudo differential operators with multiple non-involutive characteristics. Zbl 0441.35069 Mascarello Rodino, Maria; Rodino, Luigi 6 1981 Spectral properties of the twisted bi-Laplacian. Zbl 1186.47041 Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Wong, M. W. 6 2009 Decay estimates for solutions of nonlocal semilinear equations. Zbl 1359.35067 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 5 2015 Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Zbl 1255.47001 5 2013 SG pseudo-differential operators and weak hyperbolicity. Zbl 1524.35798 Nicola, Fabio; Rodino, Luigi 5 2003 Linear partial differential equations with multiple involutive characteristics. Zbl 0884.35184 Liess, O.; Rodino, L. 4 1997 Elliptic pseudo differential operators degenerate on a symplectic submanifold. Zbl 0337.35020 Helffer, Bernard; Rodino, Luigi 4 1976 Local solvability in Gevrey classes. Zbl 0729.35002 Rodino, L. 4 1987 Inhomogeneous Gevrey classes and ultradistributions. Zbl 1065.46026 Calvo, Daniela; Morando, Alessandro; Rodino, Luigi 4 2004 Paradifferential calculus in Gevrey classes. Zbl 0990.35141 Chen, Hua; Rodino, Luigi 4 2001 Almost periodic pseudodifferential operators and Gevrey classes. Zbl 1253.35233 Oliaro, Alessandro; Rodino, Luigi; Wahlberg, Patrik 4 2012 Exponential decay and regularity for SG-elliptic operators with polynomial coefficients. Zbl 1387.35167 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 4 2007 A pseudo differential operator which shifts the wave front set. Zbl 0377.35064 Parenti, Cesare; Rodino, Luigi 4 1978 Global regularity for ordinary differential operators with polynomial coefficients. Zbl 1300.47051 Nicola, Fabio; Rodino, Luigi 4 2013 Short-time Fourier transform analysis of localization operators. Zbl 1166.47048 Cordero, Elena; Rodino, Luigi 4 2008 Fourier integral operators and inhomogeneous Gevrey classes. Zbl 0675.35090 Liess, Otto; Rodino, Luigi 4 1988 Analytic-Gevrey hypoellipticity for a class of pseudo-differential operators with multiple characteristics. Zbl 0704.35035 Cattabriga, L.; Rodino, L.; Zanghirati, L. 4 1990 Schrödinger equations in modulation spaces. Zbl 1273.35336 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 4 2013 An introduction to the Gabor wave front set. Zbl 1465.35012 Rodino, Luigi; Trapasso, S. Ivan 3 2021 Radial symmetric elements and the Bargmann transform. Zbl 1323.35154 Cappiello, Marco; Rodino, Luigi; Toft, Joachim 3 2014 Solvability for semilinear PDE with multiple characteristics. Zbl 1024.35003 Oliaro, Alessandro; Rodino, Luigi 3 2003 On the boundedness of pseudodifferential operators in the class \(L^m_{\rho,1}\). Zbl 0309.47039 Rodino, Luigi 3 1976 On the \(L^2\) continuity of a class of pseudo differential operators. Zbl 0324.35083 Rodino, Luigi 3 1976 A Pizzetti-type formula for the heat operator. Zbl 1101.35007 Da Lio, Francesca; Rodino, Luigi 3 2006 Gevrey solvability for hyperbolic operators with constant multiplicity. Zbl 0739.35002 Rodino, L.; Corli, A. 2 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 2 1991 Gabor analysis for Schrödinger equations and propagation of singularities. Zbl 1381.47033 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 2 2017 Local solvability for nonlinear partial differential equations. Zbl 1042.35521 Messina, Francesca; Rodino, Luigi 2 2001 Strengthened Cauchy-Schwarz inequality for biorthogonal wavelets in Sobolev spaces. Zbl 1058.42026 De Rossi, A.; Rodino, L. 2 2004 A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions. Zbl 1338.35523 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 2 2014 Weyl asymptotics for tensor products of operators and Dirichlet divisors. Zbl 1351.47012 Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Vindas, Jasson 2 2015 Gevrey hypoellipticity for equations with involutive characteristics of higher multiplicity. Zbl 0961.35029 De Donno, G.; Rodino, L. 2 2000 Time-frequency analysis of Schrödinger propagators. Zbl 1257.35201 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 2 2012 Gevrey hypoellipticity for a class of operators with multiple characteristics. Zbl 0501.35021 Rodino, L. 2 1981 Nonsolvability of a higher order degenerate elliptic pseudodifferential equation. Zbl 0405.35076 Rodino, Luigi 2 1980 Opérateurs différentiels ordinaires intervenant dans l’étude de l’hypoellipticite. Zbl 0358.58011 Helffer, B.; Rodino, L. 2 1977 Metaplectic equivalence of the hierarchical twisted Laplacian. Zbl 1276.47064 Molahajloo, Shahla; Rodino, Luigi; Wong, M. W. 2 2013 Polysingular integral operators. Zbl 0445.45026 Rodino, Luigi 2 1980 The Riemann-Hilbert boundary problem in a bicylinder. Zbl 0592.35100 Duduchava, R.; Rodino, L. 2 1985 Anisotropic global microlocal analysis for tempered distributions. Zbl 1536.46032 Rodino, Luigi; Wahlberg, Patrik 2 2023 Microlocal analysis for Gelfand-Shilov spaces. Zbl 1531.46024 Rodino, Luigi; Wahlberg, Patrik 2 2023 Operators with polynomial coefficients and generalized Gelfand-Shilov classes. Zbl 1524.35795 Calvo, Daniela; De Donno, Giuseppe; Rodino, Luigi 2 2012 Analytic and Gevrey regularity for linear partial differential operators. Zbl 0768.35016 Albano, Luisa; Rodino, Luigi 1 1989 Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations. Zbl 1516.42019 Cordero, Elena; Rodino, Luigi 8 2023 Anisotropic global microlocal analysis for tempered distributions. Zbl 1536.46032 Rodino, Luigi; Wahlberg, Patrik 2 2023 Microlocal analysis for Gelfand-Shilov spaces. Zbl 1531.46024 Rodino, Luigi; Wahlberg, Patrik 2 2023 Wigner analysis of operators. I: Pseudodifferential operators and wave fronts. Zbl 1485.94017 Cordero, Elena; Rodino, Luigi 14 2022 An introduction to the Gabor wave front set. Zbl 1465.35012 Rodino, Luigi; Trapasso, S. Ivan 3 2021 Time-frequency analysis of operators. Zbl 07204958 Cordero, Elena; Rodino, Luigi 47 2020 Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces. Zbl 1454.35100 Cappiello, Marco; Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi 8 2019 Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians. Zbl 1384.35107 Pravda-Starov, Karel; Rodino, Luigi; Wahlberg, Patrik 26 2018 Gabor analysis for Schrödinger equations and propagation of singularities. Zbl 1381.47033 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 2 2017 Mathematical analysis, probability and applications – plenary lectures. ISAAC congress, August 3–8, 2015, Macau, China. Zbl 1352.35004 1 2016 Gabor representations of evolution operators. Zbl 1338.35519 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 23 2015 Propagation of the Gabor wave front set for Schrödinger equations with non-smooth potentials. Zbl 1314.35119 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 22 2015 Schrödinger equations with rough Hamiltonians. Zbl 1334.35458 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 19 2015 Wave packet analysis of Schrödinger equations in analytic function spaces. Zbl 1318.35094 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 18 2015 Exponentially sparse representations of Fourier integral operators. Zbl 1433.35470 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 14 2015 Integral representations for the class of generalized metaplectic operators. Zbl 1341.42019 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 10 2015 On the inverse to the harmonic oscillator. Zbl 1318.35091 Cappiello, Marco; Rodino, Luigi; Toft, Joachim 8 2015 Propagation of Gabor singularities for semilinear Schrödinger equations. Zbl 1328.35215 Nicola, Fabio; Rodino, Luigi 7 2015 Gelfand-Shilov type spaces through Hermite expansions. Zbl 1345.46033 Gramchev, Todor; Lecke, Alexander; Pilipović, Stevan; Rodino, Luigi 6 2015 Decay estimates for solutions of nonlocal semilinear equations. Zbl 1359.35067 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 5 2015 Weyl asymptotics for tensor products of operators and Dirichlet divisors. Zbl 1351.47012 Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Vindas, Jasson 2 2015 Gabor wave packets and evolution operators. Zbl 1335.42038 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 1 2015 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 35 2014 The Gabor wave front set. Zbl 1366.42030 Rodino, Luigi; Wahlberg, Patrik 35 2014 Radial symmetric elements and the Bargmann transform. Zbl 1323.35154 Cappiello, Marco; Rodino, Luigi; Toft, Joachim 3 2014 A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions. Zbl 1338.35523 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 2 2014 Wiener algebras of Fourier integral operators. Zbl 1306.42045 Cordero, Elena; Gröchenig, Karlheinz; Nicola, Fabio; Rodino, Luigi 42 2013 Globally bisingular elliptic operators. Zbl 1302.35486 Battisti, U.; Gramchev, T.; Rodino, L.; Pilipović, S. 6 2013 Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Zbl 1255.47001 5 2013 Global regularity for ordinary differential operators with polynomial coefficients. Zbl 1300.47051 Nicola, Fabio; Rodino, Luigi 4 2013 Schrödinger equations in modulation spaces. Zbl 1273.35336 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 4 2013 Metaplectic equivalence of the hierarchical twisted Laplacian. Zbl 1276.47064 Molahajloo, Shahla; Rodino, Luigi; Wong, M. W. 2 2013 A two dimensional Adler-Manin trace and bi-singular operators. Zbl 1279.58013 Fathizadeh, Farzad; Khalkhali, Masoud; Nicola, Fabio; Rodino, Luigi 1 2013 Almost periodic pseudodifferential operators and Gevrey classes. Zbl 1253.35233 Oliaro, Alessandro; Rodino, Luigi; Wahlberg, Patrik 4 2012 Time-frequency analysis of Schrödinger propagators. Zbl 1257.35201 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 2 2012 Operators with polynomial coefficients and generalized Gelfand-Shilov classes. Zbl 1524.35795 Calvo, Daniela; De Donno, Giuseppe; Rodino, Luigi 2 2012 Spectra of polynomials of the twisted Laplacian. Zbl 1276.47061 Gramchevf, Todor; Pilipović, Stevan; Rodino, Luigi; Wong, Man Wah 1 2012 Eigenfunction expansions in \(\mathbb R^{n}\). Zbl 1231.35133 Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi 15 2011 Iterates of operators and Gelfand-Shilov classes. Zbl 1227.47044 Calvo, Daniela; Rodino, Luigi 6 2011 Pseudo-differential operators: analysis, applications and computations. Selected papers based on lectures presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO), London, UK, July 13–18, 2009. Zbl 1213.35013 1 2011 Time-frequency analysis: function spaces and applications. Zbl 1267.42023 Cordero, Elena; Rodino, Luigi 1 2011 Global pseudo-differential calculus on Euclidean spaces. Zbl 1257.47002 Nicola, Fabio; Rodino, Luigi 162 2010 Time-frequency analysis of Fourier integral operators. Zbl 1196.42027 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 39 2010 Quasianalytic Gelfand-Shilov spaces with application to localization operators. Zbl 1200.47065 Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad 38 2010 On the global boundedness of Fourier integral operators. Zbl 1200.35347 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 29 2010 Entire extensions and exponential decay for semilinear elliptic equations. Zbl 1217.35070 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 21 2010 Sub-exponential decay and uniform holomorphic extensions for semilinear pseudodifferential equations. Zbl 1196.35239 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 15 2010 Global regularity and stability in \(S\)-spaces for classes of degenerate Shubin operators. Zbl 1228.47048 Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi 9 2010 Sparsity of Gabor representation of Schrödinger propagators. Zbl 1171.35133 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 34 2009 Boundedness of Fourier integral operators on \(\mathcal {F}L^p\) spaces. Zbl 1178.35398 Cordero, Elena; Nicola, Fabio; Rodino, Luigi 29 2009 Spectral properties of the twisted bi-Laplacian. Zbl 1186.47041 Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Wong, M. W. 6 2009 Gelfand-Shilov classes of multi-anisotropic type. Zbl 1193.46021 Calvo, Daniela; Rodino, Luigi 1 2009 Dixmier traceability for general pseudo-differential operators. Zbl 1146.35100 Nicola, Fabio; Rodino, Luigi 6 2008 Short-time Fourier transform analysis of localization operators. Zbl 1166.47048 Cordero, Elena; Rodino, Luigi 4 2008 Classes of degenerate elliptic operators in Gelfand–Shilov spaces. Zbl 1170.47031 Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi 47 2007 Semilinear pseudo-differential equations and travelling waves. Zbl 1143.35100 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 13 2007 Localization operators and time-frequency analysis. Zbl 1149.47035 Cordero, Elena; Rodino, Luigi; Gröchenig, Karlheinz 9 2007 Gelfand-Shilov spaces, pseudo-differential operators and localization operators. Zbl 1137.35088 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 9 2007 Exponential decay and regularity for SG-elliptic operators with polynomial coefficients. Zbl 1387.35167 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 4 2007 SG-pseudodifferential operators and Gelfand-Shilov spaces. Zbl 1158.35111 Cappiello, Marco; Rodino, Luigi 27 2006 Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients. Zbl 1104.35049 Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 25 2006 Residues and index for bisingular operators. Zbl 1114.58024 Nicola, Fabio; Rodino, Luigi 9 2006 A Pizzetti-type formula for the heat operator. Zbl 1101.35007 Da Lio, Francesca; Rodino, Luigi 3 2006 Pseudo-differential operators and related topics. Papers based on lectures given at the international conference, Växjö University, Sweden, June 22 to June 25, 2005. Zbl 1086.47005 1 2006 Localization operators and exponential weights for modulation spaces. Zbl 1171.47303 Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad 25 2005 Wick calculus: a time-frequency approach. Zbl 1075.35126 Cordero, Elena; Rodino, Luigi 8 2005 Inhomogeneous Gevrey classes and ultradistributions. Zbl 1065.46026 Calvo, Daniela; Morando, Alessandro; Rodino, Luigi 4 2004 Strengthened Cauchy-Schwarz inequality for biorthogonal wavelets in Sobolev spaces. Zbl 1058.42026 De Rossi, A.; Rodino, L. 2 2004 Local solvability for partial differential equations with multiple characteristics. Zbl 1069.35004 Oliaro, Alessandro; Popivanov, Petar; Rodino, Luigi 1 2004 Some results on the strengthened CBS inequality for biorthogonal wavelets. Zbl 1060.42029 de Rossi, Alessandra; Rodino, Luigi 1 2004 Microlocal analysis and applications. Zbl 1067.35163 Cordero, E.; Nicola, F.; Rodino, L. 1 2004 Analytic and Gevrey solutions of nonlinear partial differential equations. Zbl 1075.35129 de Donno, G.; Oliaro, A.; Rodino, L. 1 2004 Quantization and pseudo-differential operators. Zbl 1369.47065 Boggiatto, Paolo; Rodino, Luigi 8 2003 SG pseudo-differential operators and weak hyperbolicity. Zbl 1524.35798 Nicola, Fabio; Rodino, Luigi 5 2003 Solvability for semilinear PDE with multiple characteristics. Zbl 1024.35003 Oliaro, Alessandro; Rodino, Luigi 3 2003 Hypoellipticity and local solvability in Gevrey classes. Zbl 1056.35049 Albanese, Angela A.; Corli, Andrea; Rodino, Luigi 10 2002 A strengthened Cauchy-Schwarz inequality for bidimensional spline-wavelets. Zbl 1017.42026 De Rossi, Alessandra; Rodino, Luigi 1 2002 Paradifferential calculus in Gevrey classes. Zbl 0990.35141 Chen, Hua; Rodino, Luigi 4 2001 Local solvability for nonlinear partial differential equations. Zbl 1042.35521 Messina, Francesca; Rodino, Luigi 2 2001 Partial differential operators with multiple symplectic characteristics. Zbl 0991.35017 Rodino, Luigi; Mascarello, Maria; Nguyen Minh Tri 1 2001 Gevrey hypoellipticity for equations with involutive characteristics of higher multiplicity. Zbl 0961.35029 De Donno, G.; Rodino, L. 2 2000 Gevrey hypoellipticity for partial differential equations with characteristics of higher multiplicity. Zbl 1072.35214 Rodino, Luigi; De Donno, Giuseppe 1 2000 Cauchy problem for SG-hyperbolic equations with constant multiplicities. Zbl 0935.35106 Coriasco, Sandro; Rodino, Luigi 18 1999 Gevrey solvability for semilinear partial differential equations with multiple characteristics. Zbl 0924.35030 Gramchev, Todor; Rodino, Luigi 9 1999 Nonlinear microlocal analysis. Zbl 0989.35012 Garello, G.; Rodino, L. 1 1999 Partial differential equations and their applications. Proceedings of the conference, Wuhan, China, April 5–9, 1999. Zbl 0969.00056 1 1999 Partial differential equations of multi-quasi-elliptic type. Zbl 1200.35055 Rodino, Luigi; Boggiatto, Paolo 1 1999 Partial differential equations with multiple characteristics. Zbl 0888.35001 Mascarello, Maria; Rodino, Luigi 34 1997 Linear partial differential equations with multiple involutive characteristics. Zbl 0884.35184 Liess, O.; Rodino, L. 4 1997 Nonlinear microlocal analysis and applications in Gevrey classes. Zbl 0881.35135 Chen, Hua; Rodino, Luigi 1 1997 Existence and uniqueness for a nonlinear fractional differential equation. Zbl 0881.34005 Delbosco, Domenico; Rodino, Luigi 272 1996 Global hypoellipticity and spectral theory. Zbl 0878.35001 Boggiatto, Paolo; Buzano, Ernesto; Rodino, Luigi 68 1996 General theory of PDE and Gevrey classes. Zbl 0864.35130 Chen, Hua; Rodino, Luigi 14 1996 General theory of partial differential equations and microlocal analysis. Proceedings of a workshop, ICTP, Trieste, Italy, September 4–15, 1995. Zbl 0845.00043 1 1996 Micro-elliptic Gevrey regularity for nonlinear partial differential equations. Zbl 0860.35153 Chen, Hua; Rodino, Luigi 1 1996 Multi-quasi-elliptic operators in \(\mathbb{R}^ n\). Zbl 0884.35186 Boggiatto, P.; Buzano, E.; Rodino, L. 1 1995 Linear partial differential operators in Gevrey spaces. Zbl 0869.35005 Rodino, Luigi 229 1993 On the problem of the hypoellipticity of the linear partial differential equations. Zbl 0898.35119 Rodino, Luigi 1 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 2 1991 The problem of the local solvability of the linear partial differential equations. Zbl 0745.35003 Corli, Andrea; Rodino, Luigi 1 1991 ...and 28 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,050 Authors 53 Nicola, Fabio 50 Rodino, Luigi 45 Pilipović, Stevan 44 Cordero, Elena 41 Toft, Joachim 32 Cappiello, Marco 28 Teofanov, Nenad 25 Prangoski, Bojan 24 Gramchev, Todor V. 23 Prasad, Akhilesh 21 Ruzhansky, Michael V. 18 Oliaro, Alessandro 18 Wahlberg, Patrik 16 Coriasco, Sandro 13 Li, Haoguang 13 Wong, Man Wah 12 Jornet, David 12 Trapasso, Salvatore Ivan 11 Gröchenig, Karlheinz 10 Ascanelli, Alessia 10 Boggiatto, Paolo 10 Dattori da Silva, Paulo L. 10 de Gosson, Maurice Alexis 10 Feichtinger, Hans Georg 10 Han, Zhenlai 10 Mandal, Upain Kumar 10 Margaryan, Vachagan N. 10 Vindas, Jasson 10 Zhao, Yige 9 Ghazaryan, Hayk G. 9 Petronilho, Gerson 9 Sun, Shurong 9 Trujillo, Juan J. 8 Băleanu, Dumitru I. 8 Benchohra, Mouffak 8 Boiti, Chiara 8 Garello, Gianluca 8 Los, Valerii M. 8 Murach, Aleksandr A. 8 Parmeggiani, Alberto 8 Pravda-Starov, Karel 8 Schulz, René M. 7 Albanese, Angela Anna 7 Ardjouni, Abdelouaheb 7 Galbis, Antonio 7 Garetto, Claudia 7 Li, Weixi 7 Manna, Ramesh 7 Popivanov, Petar Radoev 7 Tomić, Filip 7 Zhu, Xiangrong 6 Abdo, Mohammed Salem 6 Balachandran, Krishnan 6 Bernier, Joackim 6 Chen, Hua 6 Dasgupta, Aparajita 6 Fernández, Carmen 6 Giacchi, Gianluca 6 Hamani, Samira 6 Mahato, Kanailal 6 Mughetti, Marco 6 Nguyễn Minh Trí 6 Nieto Roig, Juan Jose 6 Panchal, Satish Kushaba 6 Zhang, Shuqin 5 Araújo, Gabriel 5 Bai, Zhanbing 5 Bastianoni, Federico 5 Bhimani, Divyang G. 5 Debrouwere, Andreas 5 Delgado, Julio 5 Federico, Serena 5 Hoepfner, Gustavo 5 Kiran, N. Uday 5 Li, Qiuping 5 Liu, Wenbin 5 Meurer, Thomas 5 Morando, Alessandro 5 Reissig, Michael 5 Staubach, Wolfgang 5 Tian, Yuansheng 5 Tokmagambetov, Niyaz Esenzholovich 5 Upadhyay, Santosh Kumar 5 Xu, Chao-Jiang 5 Zanghirati, Luisa 4 Abdeljawad, Ahmed 4 Alphonse, Paul 4 Asensio, Vicente 4 Buzano, Ernesto 4 Chaili, Rachid 4 Chatzakou, Marianna 4 Chen, Anping 4 Chen, Taiyong 4 Chen, Yuanyuan 4 Cordaro, Paulo D. 4 Dias, Nuno Costa 4 Disconzi, Marcelo Mendes 4 Ebert, Marcelo Rempel 4 Gourdin, Daniel 4 Himonas, A. Alexandrou ...and 950 more Authors all top 5 Cited in 274 Serials 72 Journal of Pseudo-Differential Operators and Applications 50 Journal of Mathematical Analysis and Applications 40 Journal of Differential Equations 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 32 Journal of Functional Analysis 24 The Journal of Fourier Analysis and Applications 19 Annali di Matematica Pura ed Applicata. Serie Quarta 17 Computers & Mathematics with Applications 17 Abstract and Applied Analysis 16 Mathematical Methods in the Applied Sciences 16 Mathematische Nachrichten 16 Advances in Difference Equations 15 Transactions of the American Mathematical Society 15 Mediterranean Journal of Mathematics 14 Integral Transforms and Special Functions 13 Proceedings of the American Mathematical Society 13 Communications in Partial Differential Equations 13 Applied and Computational Harmonic Analysis 11 Journal d’Analyse Mathématique 10 Ukrainian Mathematical Journal 10 Applied Mathematics and Computation 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Journal of Mathematical Physics 9 Boundary Value Problems 8 Advances in Mathematics 8 Automatica 8 Monatshefte für Mathematik 8 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 8 Fractional Calculus & Applied Analysis 8 Analysis and Applications (Singapore) 8 Complex Variables and Elliptic Equations 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Rocky Mountain Journal of Mathematics 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Bulletin des Sciences Mathématiques 7 Journal of Applied Mathematics and Computing 6 Applicable Analysis 6 Communications in Mathematical Physics 6 Integral Equations and Operator Theory 6 Filomat 6 Acta Mathematica Sinica. English Series 6 Journal of Function Spaces 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Revista Matemática Iberoamericana 5 Discrete and Continuous Dynamical Systems 5 Differential Equations and Dynamical Systems 5 Communications in Nonlinear Science and Numerical Simulation 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Complex Analysis and Operator Theory 5 Analysis and Mathematical Physics 4 Annales de l’Institut Fourier 4 Collectanea Mathematica 4 Osaka Journal of Mathematics 4 Rendiconti del Seminario Matematico della Università di Padova 4 Results in Mathematics 4 Forum Mathematicum 4 The Journal of Geometric Analysis 4 Potential Analysis 4 Positivity 4 Discrete Dynamics in Nature and Society 4 Journal of Evolution Equations 4 Journal of Applied Mathematics 4 Communications on Pure and Applied Analysis 4 Journal of the Institute of Mathematics of Jussieu 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Journal of Spectral Theory 4 Open Mathematics 4 Advances in Operator Theory 4 Annales Henri Lebesgue 3 Archive for Rational Mechanics and Analysis 3 Reviews in Mathematical Physics 3 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Numerische Mathematik 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Journal of Complexity 3 Mathematical and Computer Modelling 3 Russian Journal of Mathematical Physics 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 Nonlinear Analysis. Hybrid Systems 3 Eurasian Mathematical Journal 2 Inverse Problems 2 Mathematical Notes 2 Reports on Mathematical Physics 2 Arkiv för Matematik 2 Archiv der Mathematik 2 Functiones et Approximatio. Commentarii Mathematici 2 Fuzzy Sets and Systems 2 Publications de l’Institut Mathématique. Nouvelle Série 2 SIAM Journal on Numerical Analysis 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 ...and 174 more Serials all top 5 Cited in 52 Fields 614 Partial differential equations (35-XX) 343 Operator theory (47-XX) 245 Functional analysis (46-XX) 234 Ordinary differential equations (34-XX) 192 Harmonic analysis on Euclidean spaces (42-XX) 102 Real functions (26-XX) 55 Quantum theory (81-XX) 54 Global analysis, analysis on manifolds (58-XX) 50 Integral equations (45-XX) 38 Integral transforms, operational calculus (44-XX) 37 Numerical analysis (65-XX) 32 Systems theory; control (93-XX) 26 Abstract harmonic analysis (43-XX) 24 Several complex variables and analytic spaces (32-XX) 22 Fluid mechanics (76-XX) 21 Probability theory and stochastic processes (60-XX) 20 Topological groups, Lie groups (22-XX) 18 Special functions (33-XX) 13 Functions of a complex variable (30-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 General topology (54-XX) 10 Approximations and expansions (41-XX) 10 Information and communication theory, circuits (94-XX) 9 Differential geometry (53-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Mechanics of deformable solids (74-XX) 6 Field theory and polynomials (12-XX) 5 Mechanics of particles and systems (70-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Sequences, series, summability (40-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 \(K\)-theory (19-XX) 3 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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