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: 148 Publications since 1975, including 5 Books 17 Contributions as Editor Reviewing Activity: 563 Reviews Biographic References: 2 Publications Co-Authors: 63 Co-Authors with 137 Joint Publications 1,276 Co-Co-Authors all top 5 Co-Authors 27 single-authored 27 Cordero, Elena 27 Nicola, Fabio 19 Gramchev, Todor V. 13 Cappiello, Marco 11 Pilipović, Stevan 8 Wong, Man Wah 6 Boggiatto, Paolo 6 Parenti, Cesare 5 Calvo, Daniela 5 Chen, Hua 5 Toft, Joachim 5 Wahlberg, Patrik 4 De Donno, Giuseppe 4 Liess, Otto 4 Oliaro, Alessandro 3 Buzano, Ernesto 3 Corli, Andrea 3 De Rossi, Alessandra 3 Delbosco, Domenico 3 Gröchenig, Karlheinz 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 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 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 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 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 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 142 Partial differential equations (35-XX) 54 Operator theory (47-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 22 Functional analysis (46-XX) 19 Numerical analysis (65-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 General and overarching topics; collections (00-XX) 7 Quantum theory (81-XX) 5 Integral equations (45-XX) 4 Real functions (26-XX) 4 Information and communication theory, circuits (94-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 121 Publications have been cited 1,647 times in 976 Documents Cited by ▼ Year ▼ Existence and uniqueness for a nonlinear fractional differential equation. Zbl 0881.34005Delbosco, Domenico; Rodino, Luigi 258 1996 Linear partial differential operators in Gevrey spaces. Zbl 0869.35005Rodino, Luigi 202 1993 Global pseudo-differential calculus on Euclidean spaces. Zbl 1257.47002Nicola, Fabio; Rodino, Luigi 139 2010 Global hypoellipticity and spectral theory. Zbl 0878.35001Boggiatto, Paolo; Buzano, Ernesto; Rodino, Luigi 58 1996 Wiener algebras of Fourier integral operators. Zbl 1306.42045Cordero, Elena; Gröchenig, Karlheinz; Nicola, Fabio; Rodino, Luigi 39 2013 Classes of degenerate elliptic operators in Gelfand–Shilov spaces. Zbl 1170.47031Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi 38 2007 Time-frequency analysis of Fourier integral operators. Zbl 1196.42027Cordero, Elena; Nicola, Fabio; Rodino, Luigi 37 2010 Quasianalytic Gelfand-Shilov spaces with application to localization operators. Zbl 1200.47065Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad 35 2010 The Gabor wave front set. Zbl 1366.42030Rodino, Luigi; Wahlberg, Patrik 33 2014 Sparsity of Gabor representation of Schrödinger propagators. Zbl 1171.35133Cordero, Elena; Nicola, Fabio; Rodino, Luigi 32 2009 Time-frequency analysis of operators. Zbl 07204958Cordero, Elena; Rodino, Luigi 31 2020 Partial differential equations with multiple characteristics. Zbl 0888.35001Mascarello, Maria; Rodino, Luigi 31 1997 Generalized metaplectic operators and the Schrödinger equation with a potential in the Sjöstrand class. Zbl 1295.81050Cordero, Elena; Gröchenig, Karlheinz; Nicola, Fabio; Rodino, Luigi 31 2014 Boundedness of Fourier integral operators on \(\mathcal {F}L^p\) spaces. Zbl 1178.35398Cordero, Elena; Nicola, Fabio; Rodino, Luigi 29 2009 On the global boundedness of Fourier integral operators. Zbl 1200.35347Cordero, Elena; Nicola, Fabio; Rodino, Luigi 28 2010 Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients. Zbl 1104.35049Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 25 2006 Gabor representations of evolution operators. Zbl 1338.35519Cordero, Elena; Nicola, Fabio; Rodino, Luigi 23 2015 Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians. Zbl 1384.35107Pravda-Starov, Karel; Rodino, Luigi; Wahlberg, Patrik 23 2018 Localization operators and exponential weights for modulation spaces. Zbl 1171.47303Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad 23 2005 SG-pseudodifferential operators and Gelfand-Shilov spaces. Zbl 1158.35111Cappiello, Marco; Rodino, Luigi 22 2006 Propagation of the Gabor wave front set for Schrödinger equations with non-smooth potentials. Zbl 1314.35119Cordero, Elena; Nicola, Fabio; Rodino, Luigi 21 2015 Inhomogeneous Gevrey classes and related pseudodifferential operators. Zbl 0557.35131Liess, Otto; Rodino, Luigi 20 1984 Entire extensions and exponential decay for semilinear elliptic equations. Zbl 1217.35070Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 19 2010 Schrödinger equations with rough Hamiltonians. Zbl 1334.35458Cordero, Elena; Nicola, Fabio; Rodino, Luigi 18 2015 Cauchy problem for SG-hyperbolic equations with constant multiplicities. Zbl 0935.35106Coriasco, Sandro; Rodino, Luigi 18 1999 Wave packet analysis of Schrödinger equations in analytic function spaces. Zbl 1318.35094Cordero, Elena; Nicola, Fabio; Rodino, Luigi 16 2015 Eigenfunction expansions in \(\mathbb R^{n}\). Zbl 1231.35133Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi 15 2011 Sub-exponential decay and uniform holomorphic extensions for semilinear pseudodifferential equations. Zbl 1196.35239Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 15 2010 Exponentially sparse representations of Fourier integral operators. Zbl 1433.35470Cordero, Elena; Nicola, Fabio; Rodino, Luigi 14 2015 Semilinear pseudo-differential equations and travelling waves. Zbl 1143.35100Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 13 2007 General theory of PDE and Gevrey classes. Zbl 0864.35130Chen, Hua; Rodino, Luigi 12 1996 A class of pseudo differential operators on the product of two manifolds and applications. Zbl 0308.35081Rodino, Luigi 12 1975 On the boundedness of pseudo differential operators in the class \(L^m_{\rho,1}\). Zbl 0329.47018Rodino, Luigi 10 1976 Integral representations for the class of generalized metaplectic operators. Zbl 1341.42019Cordero, Elena; Nicola, Fabio; Rodino, Luigi 10 2015 Hypoellipticity and local solvability in Gevrey classes. Zbl 1056.35049Albanese, Angela A.; Corli, Andrea; Rodino, Luigi 9 2002 Gevrey solvability for semilinear partial differential equations with multiple characteristics. Zbl 0924.35030Gramchev, Todor; Rodino, Luigi 9 1999 Parametrices for a class of pseudo differential operators. I. Zbl 0406.35065Parenti, C.; Rodino, L. 9 1980 Pseudo-differential operators with multiple characteristics and Gevrey singularities. Zbl 0597.58034Rodino, Luigi; Zanghirati, Luisa 9 1986 Global regularity and stability in \(S\)-spaces for classes of degenerate Shubin operators. Zbl 1228.47048Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi 9 2010 Hypoellipticité analytique-Gevrey et itérés d’opérateurs. (Analytic-Gevrey hypoellipticity and the iterates of operators). Zbl 0701.35055Bolley, P.; Camus, J.; Rodino, L. 9 1987 Examples of hypoelliptic operators which are not microhypoelliptic. Zbl 0407.35074Parenti, Cesare; Rodino, Luigi 8 1980 Localization operators and time-frequency analysis. Zbl 1149.47035Cordero, Elena; Rodino, Luigi; Gröchenig, Karlheinz 8 2007 Gelfand-Shilov spaces, pseudo-differential operators and localization operators. Zbl 1137.35088Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 8 2007 Quantization and pseudo-differential operators. Zbl 1369.47065Boggiatto, Paolo; Rodino, Luigi 8 2003 On the inverse to the harmonic oscillator. Zbl 1318.35091Cappiello, Marco; Rodino, Luigi; Toft, Joachim 7 2015 Residues and index for bisingular operators. Zbl 1114.58024Nicola, Fabio; Rodino, Luigi 7 2006 A class of pseudo differential operators with multiple non-involutive characteristics. Zbl 0441.35069Mascarello Rodino, Maria; Rodino, Luigi 6 1981 Microlocal analysis for spatially inhomogeneous pseudo differential operators. Zbl 0501.35082Rodino, Luigi 6 1982 Wick calculus: a time-frequency approach. Zbl 1075.35126Cordero, Elena; Rodino, Luigi 6 2005 Parametrices for a class of pseudo differential operators. II. Zbl 0406.35066Parenti, C.; Rodino, L. 6 1980 Gelfand-Shilov type spaces through Hermite expansions. Zbl 1345.46033Gramchev, Todor; Lecke, Alexander; Pilipović, Stevan; Rodino, Luigi 6 2015 Wigner analysis of operators. I: Pseudodifferential operators and wave fronts. Zbl 1485.94017Cordero, Elena; Rodino, Luigi 6 2022 Dixmier traceability for general pseudo-differential operators. Zbl 1146.35100Nicola, Fabio; Rodino, Luigi 6 2008 Spectral properties of the twisted bi-Laplacian. Zbl 1186.47041Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Wong, M. W. 6 2009 Globally bisingular elliptic operators. Zbl 1302.35486Battisti, U.; Gramchev, T.; Rodino, L.; Pilipović, S. 6 2013 Decay estimates for solutions of nonlocal semilinear equations. Zbl 1359.35067Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 5 2015 Propagation of Gabor singularities for semilinear Schrödinger equations. Zbl 1328.35215Nicola, Fabio; Rodino, Luigi 5 2015 Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces. Zbl 1454.35100Cappiello, Marco; Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi 5 2019 Paradifferential calculus in Gevrey classes. Zbl 0990.35141Chen, Hua; Rodino, Luigi 4 2001 A pseudo differential operator which shifts the wave front set. Zbl 0377.35064Parenti, Cesare; Rodino, Luigi 4 1978 Global regularity for ordinary differential operators with polynomial coefficients. Zbl 1300.47051Nicola, Fabio; Rodino, Luigi 4 2013 SG pseudo-differential operators and weak hyperbolicity. Zbl 07697121Nicola, Fabio; Rodino, Luigi 4 2003 Fourier integral operators and inhomogeneous Gevrey classes. Zbl 0675.35090Liess, Otto; Rodino, Luigi 4 1988 Local solvability in Gevrey classes. Zbl 0729.35002Rodino, L. 4 1987 Short-time Fourier transform analysis of localization operators. Zbl 1166.47048Cordero, Elena; Rodino, Luigi 4 2008 Analytic-Gevrey hypoellipticity for a class of pseudo-differential operators with multiple characteristics. Zbl 0704.35035Cattabriga, L.; Rodino, L.; Zanghirati, L. 4 1990 Exponential decay and regularity for SG-elliptic operators with polynomial coefficients. Zbl 1387.35167Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 4 2007 Schrödinger equations in modulation spaces. Zbl 1273.35336Cordero, Elena; Nicola, Fabio; Rodino, Luigi 4 2013 Iterates of operators and Gelfand-Shilov classes. Zbl 1227.47044Calvo, Daniela; Rodino, Luigi 4 2011 Almost periodic pseudodifferential operators and Gevrey classes. Zbl 1253.35233Oliaro, Alessandro; Rodino, Luigi; Wahlberg, Patrik 4 2012 Solvability for semilinear PDE with multiple characteristics. Zbl 1024.35003Oliaro, Alessandro; Rodino, Luigi 3 2003 Linear partial differential equations with multiple involutive characteristics. Zbl 0884.35184Liess, O.; Rodino, L. 3 1997 On the \(L^2\) continuity of a class of pseudo differential operators. Zbl 0324.35083Rodino, Luigi 3 1976 Elliptic pseudo differential operators degenerate on a symplectic submanifold. Zbl 0337.35020Helffer, Bernard; Rodino, Luigi 3 1976 Radial symmetric elements and the Bargmann transform. Zbl 1323.35154Cappiello, Marco; Rodino, Luigi; Toft, Joachim 3 2014 A Pizzetti-type formula for the heat operator. Zbl 1101.35007Da Lio, Francesca; Rodino, Luigi 3 2006 Inhomogeneous Gevrey classes and ultradistributions. Zbl 1065.46026Calvo, Daniela; Morando, Alessandro; Rodino, Luigi 3 2004 Polysingular integral operators. Zbl 0445.45026Rodino, Luigi 2 1980 Gevrey hypoellipticity for a class of operators with multiple characteristics. Zbl 0501.35021Rodino, L. 2 1981 Strengthened Cauchy-Schwarz inequality for biorthogonal wavelets in Sobolev spaces. Zbl 1058.42026De Rossi, A.; Rodino, L. 2 2004 Opérateurs différentiels ordinaires intervenant dans l’étude de l’hypoellipticite. Zbl 0358.58011Helffer, B.; Rodino, L. 2 1977 Nonsolvability of a higher order degenerate elliptic pseudodifferential equation. Zbl 0405.35076Rodino, Luigi 2 1980 A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions. Zbl 1338.35523Cordero, Elena; Nicola, Fabio; Rodino, Luigi 2 2014 Weyl asymptotics for tensor products of operators and Dirichlet divisors. Zbl 1351.47012Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Vindas, Jasson 2 2015 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 Riemann-Hilbert boundary problem in a bicylinder. Zbl 0592.35100Duduchava, R.; Rodino, L. 2 1985 Gevrey solvability for hyperbolic operators with constant multiplicity. Zbl 0739.35002Rodino, L.; Corli, A. 2 1988 Gevrey hypoellipticity for equations with involutive characteristics of higher multiplicity. Zbl 0961.35029De Donno, G.; Rodino, L. 2 2000 Local solvability for nonlinear partial differential equations. Zbl 1042.35521Messina, Francesca; Rodino, Luigi 2 2001 Metaplectic equivalence of the hierarchical twisted Laplacian. Zbl 1276.47064Molahajloo, Shahla; Rodino, Luigi; Wong, M. W. 2 2013 Gabor analysis for Schrödinger equations and propagation of singularities. Zbl 1381.47033Cordero, Elena; Nicola, Fabio; Rodino, Luigi 2 2017 Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Zbl 1255.47001 2 2013 Time-frequency analysis of Schrödinger propagators. Zbl 1257.35201Cordero, Elena; Nicola, Fabio; Rodino, Luigi 2 2012 An introduction to the Gabor wave front set. Zbl 1465.35012Rodino, Luigi; Trapasso, S. Ivan 2 2021 On general pseudodifferential operators. Zbl 0433.35075Parenti, C.; Rodino, L. 1 1980 Multi-quasi-elliptic operators in \(\mathbb{R}^ n\). Zbl 0884.35186Boggiatto, P.; Buzano, E.; Rodino, L. 1 1995 Micro-elliptic Gevrey regularity for nonlinear partial differential equations. Zbl 0860.35153Chen, Hua; Rodino, Luigi 1 1996 Nonlinear microlocal analysis. Zbl 0989.35012Garello, G.; Rodino, L. 1 1999 Partial differential operators with multiple symplectic characteristics. Zbl 0991.35017Rodino, Luigi; Mascarello, Maria; Nguyen Minh Tri 1 2001 A strengthened Cauchy-Schwarz inequality for bidimensional spline-wavelets. Zbl 1017.42026De Rossi, Alessandra; Rodino, Luigi 1 2002 Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations. Zbl 1516.42019Cordero, Elena; Rodino, Luigi 1 2023 Microlocal analysis for Gelfand-Shilov spaces. Zbl 07734938Rodino, Luigi; Wahlberg, Patrik 1 2023 Wigner analysis of operators. I: Pseudodifferential operators and wave fronts. Zbl 1485.94017Cordero, Elena; Rodino, Luigi 6 2022 An introduction to the Gabor wave front set. Zbl 1465.35012Rodino, Luigi; Trapasso, S. Ivan 2 2021 Time-frequency analysis of operators. Zbl 07204958Cordero, Elena; Rodino, Luigi 31 2020 Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces. Zbl 1454.35100Cappiello, Marco; Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi 5 2019 Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians. Zbl 1384.35107Pravda-Starov, Karel; Rodino, Luigi; Wahlberg, Patrik 23 2018 Gabor analysis for Schrödinger equations and propagation of singularities. Zbl 1381.47033Cordero, Elena; Nicola, Fabio; Rodino, Luigi 2 2017 Gabor representations of evolution operators. Zbl 1338.35519Cordero, Elena; Nicola, Fabio; Rodino, Luigi 23 2015 Propagation of the Gabor wave front set for Schrödinger equations with non-smooth potentials. Zbl 1314.35119Cordero, Elena; Nicola, Fabio; Rodino, Luigi 21 2015 Schrödinger equations with rough Hamiltonians. Zbl 1334.35458Cordero, Elena; Nicola, Fabio; Rodino, Luigi 18 2015 Wave packet analysis of Schrödinger equations in analytic function spaces. Zbl 1318.35094Cordero, Elena; Nicola, Fabio; Rodino, Luigi 16 2015 Exponentially sparse representations of Fourier integral operators. Zbl 1433.35470Cordero, Elena; Nicola, Fabio; Rodino, Luigi 14 2015 Integral representations for the class of generalized metaplectic operators. Zbl 1341.42019Cordero, Elena; Nicola, Fabio; Rodino, Luigi 10 2015 On the inverse to the harmonic oscillator. Zbl 1318.35091Cappiello, Marco; Rodino, Luigi; Toft, Joachim 7 2015 Gelfand-Shilov type spaces through Hermite expansions. Zbl 1345.46033Gramchev, Todor; Lecke, Alexander; Pilipović, Stevan; Rodino, Luigi 6 2015 Decay estimates for solutions of nonlocal semilinear equations. Zbl 1359.35067Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 5 2015 Propagation of Gabor singularities for semilinear Schrödinger equations. Zbl 1328.35215Nicola, Fabio; Rodino, Luigi 5 2015 Weyl asymptotics for tensor products of operators and Dirichlet divisors. Zbl 1351.47012Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Vindas, Jasson 2 2015 Gabor wave packets and evolution operators. Zbl 1335.42038Cordero, Elena; Nicola, Fabio; Rodino, Luigi 1 2015 The Gabor wave front set. Zbl 1366.42030Rodino, Luigi; Wahlberg, Patrik 33 2014 Generalized metaplectic operators and the Schrödinger equation with a potential in the Sjöstrand class. Zbl 1295.81050Cordero, Elena; Gröchenig, Karlheinz; Nicola, Fabio; Rodino, Luigi 31 2014 Radial symmetric elements and the Bargmann transform. Zbl 1323.35154Cappiello, Marco; Rodino, Luigi; Toft, Joachim 3 2014 A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions. Zbl 1338.35523Cordero, Elena; Nicola, Fabio; Rodino, Luigi 2 2014 Wiener algebras of Fourier integral operators. Zbl 1306.42045Cordero, Elena; Gröchenig, Karlheinz; Nicola, Fabio; Rodino, Luigi 39 2013 Globally bisingular elliptic operators. Zbl 1302.35486Battisti, U.; Gramchev, T.; Rodino, L.; Pilipović, S. 6 2013 Global regularity for ordinary differential operators with polynomial coefficients. Zbl 1300.47051Nicola, Fabio; Rodino, Luigi 4 2013 Schrödinger equations in modulation spaces. Zbl 1273.35336Cordero, Elena; Nicola, Fabio; Rodino, Luigi 4 2013 Metaplectic equivalence of the hierarchical twisted Laplacian. Zbl 1276.47064Molahajloo, Shahla; Rodino, Luigi; Wong, M. W. 2 2013 Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Zbl 1255.47001 2 2013 A two dimensional Adler-Manin trace and bi-singular operators. Zbl 1279.58013Fathizadeh, Farzad; Khalkhali, Masoud; Nicola, Fabio; Rodino, Luigi 1 2013 Almost periodic pseudodifferential operators and Gevrey classes. Zbl 1253.35233Oliaro, Alessandro; Rodino, Luigi; Wahlberg, Patrik 4 2012 Time-frequency analysis of Schrödinger propagators. Zbl 1257.35201Cordero, Elena; Nicola, Fabio; Rodino, Luigi 2 2012 Eigenfunction expansions in \(\mathbb R^{n}\). Zbl 1231.35133Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi 15 2011 Iterates of operators and Gelfand-Shilov classes. Zbl 1227.47044Calvo, Daniela; Rodino, Luigi 4 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 1267.42023Cordero, Elena; Rodino, Luigi 1 2011 Global pseudo-differential calculus on Euclidean spaces. Zbl 1257.47002Nicola, Fabio; Rodino, Luigi 139 2010 Time-frequency analysis of Fourier integral operators. Zbl 1196.42027Cordero, Elena; Nicola, Fabio; Rodino, Luigi 37 2010 Quasianalytic Gelfand-Shilov spaces with application to localization operators. Zbl 1200.47065Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad 35 2010 On the global boundedness of Fourier integral operators. Zbl 1200.35347Cordero, Elena; Nicola, Fabio; Rodino, Luigi 28 2010 Entire extensions and exponential decay for semilinear elliptic equations. Zbl 1217.35070Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 19 2010 Sub-exponential decay and uniform holomorphic extensions for semilinear pseudodifferential equations. Zbl 1196.35239Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 15 2010 Global regularity and stability in \(S\)-spaces for classes of degenerate Shubin operators. Zbl 1228.47048Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi 9 2010 Sparsity of Gabor representation of Schrödinger propagators. Zbl 1171.35133Cordero, Elena; Nicola, Fabio; Rodino, Luigi 32 2009 Boundedness of Fourier integral operators on \(\mathcal {F}L^p\) spaces. Zbl 1178.35398Cordero, Elena; Nicola, Fabio; Rodino, Luigi 29 2009 Spectral properties of the twisted bi-Laplacian. Zbl 1186.47041Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Wong, M. W. 6 2009 Gelfand-Shilov classes of multi-anisotropic type. Zbl 1193.46021Calvo, Daniela; Rodino, Luigi 1 2009 Dixmier traceability for general pseudo-differential operators. Zbl 1146.35100Nicola, Fabio; Rodino, Luigi 6 2008 Short-time Fourier transform analysis of localization operators. Zbl 1166.47048Cordero, Elena; Rodino, Luigi 4 2008 Classes of degenerate elliptic operators in Gelfand–Shilov spaces. Zbl 1170.47031Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi 38 2007 Semilinear pseudo-differential equations and travelling waves. Zbl 1143.35100Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 13 2007 Localization operators and time-frequency analysis. Zbl 1149.47035Cordero, Elena; Rodino, Luigi; Gröchenig, Karlheinz 8 2007 Gelfand-Shilov spaces, pseudo-differential operators and localization operators. Zbl 1137.35088Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 8 2007 Exponential decay and regularity for SG-elliptic operators with polynomial coefficients. Zbl 1387.35167Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 4 2007 Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients. Zbl 1104.35049Cappiello, Marco; Gramchev, Todor; Rodino, Luigi 25 2006 SG-pseudodifferential operators and Gelfand-Shilov spaces. Zbl 1158.35111Cappiello, Marco; Rodino, Luigi 22 2006 Residues and index for bisingular operators. Zbl 1114.58024Nicola, Fabio; Rodino, Luigi 7 2006 A Pizzetti-type formula for the heat operator. Zbl 1101.35007Da 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 1171.47303Cordero, Elena; Pilipović, Stevan; Rodino, Luigi; Teofanov, Nenad 23 2005 Wick calculus: a time-frequency approach. Zbl 1075.35126Cordero, Elena; Rodino, Luigi 6 2005 Inhomogeneous Gevrey classes and ultradistributions. Zbl 1065.46026Calvo, Daniela; Morando, Alessandro; Rodino, Luigi 3 2004 Strengthened Cauchy-Schwarz inequality for biorthogonal wavelets in Sobolev spaces. Zbl 1058.42026De Rossi, A.; Rodino, L. 2 2004 Microlocal analysis and applications. Zbl 1067.35163Cordero, E.; Nicola, F.; Rodino, L. 1 2004 Local solvability for partial differential equations with multiple characteristics. Zbl 1069.35004Oliaro, Alessandro; Popivanov, Petar; Rodino, Luigi 1 2004 Some results on the strengthened CBS inequality for biorthogonal wavelets. Zbl 1060.42029de Rossi, Alessandra; Rodino, Luigi 1 2004 Analytic and Gevrey solutions of nonlinear partial differential equations. Zbl 1075.35129de Donno, G.; Oliaro, A.; Rodino, L. 1 2004 Quantization and pseudo-differential operators. Zbl 1369.47065Boggiatto, Paolo; Rodino, Luigi 8 2003 SG pseudo-differential operators and weak hyperbolicity. Zbl 07697121Nicola, Fabio; Rodino, Luigi 4 2003 Solvability for semilinear PDE with multiple characteristics. Zbl 1024.35003Oliaro, Alessandro; Rodino, Luigi 3 2003 Hypoellipticity and local solvability in Gevrey classes. Zbl 1056.35049Albanese, Angela A.; Corli, Andrea; Rodino, Luigi 9 2002 A strengthened Cauchy-Schwarz inequality for bidimensional spline-wavelets. Zbl 1017.42026De Rossi, Alessandra; Rodino, Luigi 1 2002 Paradifferential calculus in Gevrey classes. Zbl 0990.35141Chen, Hua; Rodino, Luigi 4 2001 Local solvability for nonlinear partial differential equations. Zbl 1042.35521Messina, Francesca; Rodino, Luigi 2 2001 Partial differential operators with multiple symplectic characteristics. Zbl 0991.35017Rodino, Luigi; Mascarello, Maria; Nguyen Minh Tri 1 2001 Gevrey hypoellipticity for equations with involutive characteristics of higher multiplicity. Zbl 0961.35029De Donno, G.; Rodino, L. 2 2000 Gevrey hypoellipticity for partial differential equations with characteristics of higher multiplicity. Zbl 1072.35214Rodino, Luigi; De Donno, Giuseppe 1 2000 Cauchy problem for SG-hyperbolic equations with constant multiplicities. Zbl 0935.35106Coriasco, Sandro; Rodino, Luigi 18 1999 Gevrey solvability for semilinear partial differential equations with multiple characteristics. Zbl 0924.35030Gramchev, Todor; Rodino, Luigi 9 1999 Nonlinear microlocal analysis. Zbl 0989.35012Garello, G.; Rodino, L. 1 1999 Partial differential equations of multi-quasi-elliptic type. Zbl 1200.35055Rodino, Luigi; Boggiatto, Paolo 1 1999 Partial differential equations with multiple characteristics. Zbl 0888.35001Mascarello, Maria; Rodino, Luigi 31 1997 Linear partial differential equations with multiple involutive characteristics. Zbl 0884.35184Liess, O.; Rodino, L. 3 1997 Nonlinear microlocal analysis and applications in Gevrey classes. Zbl 0881.35135Chen, Hua; Rodino, Luigi 1 1997 Existence and uniqueness for a nonlinear fractional differential equation. Zbl 0881.34005Delbosco, Domenico; Rodino, Luigi 258 1996 Global hypoellipticity and spectral theory. Zbl 0878.35001Boggiatto, Paolo; Buzano, Ernesto; Rodino, Luigi 58 1996 General theory of PDE and Gevrey classes. Zbl 0864.35130Chen, Hua; Rodino, Luigi 12 1996 Micro-elliptic Gevrey regularity for nonlinear partial differential equations. Zbl 0860.35153Chen, Hua; Rodino, Luigi 1 1996 Multi-quasi-elliptic operators in \(\mathbb{R}^ n\). Zbl 0884.35186Boggiatto, P.; Buzano, E.; Rodino, L. 1 1995 Linear partial differential operators in Gevrey spaces. Zbl 0869.35005Rodino, Luigi 202 1993 On the problem of the hypoellipticity of the linear partial differential equations. Zbl 0898.35119Rodino, 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 0745.35003Corli, Andrea; Rodino, Luigi 1 1991 Analytic-Gevrey hypoellipticity for a class of pseudo-differential operators with multiple characteristics. Zbl 0704.35035Cattabriga, L.; Rodino, L.; Zanghirati, L. 4 1990 Analytic and Gevrey regularity for linear partial differential operators. Zbl 0768.35016Albano, Luisa; Rodino, Luigi 1 1989 Fourier integral operators and inhomogeneous Gevrey classes. Zbl 0675.35090Liess, Otto; Rodino, Luigi 4 1988 Gevrey solvability for hyperbolic operators with constant multiplicity. Zbl 0739.35002Rodino, L.; Corli, A. 2 1988 Hypoellipticité analytique-Gevrey et itérés d’opérateurs. (Analytic-Gevrey hypoellipticity and the iterates of operators). Zbl 0701.35055Bolley, P.; Camus, J.; Rodino, L. 9 1987 Local solvability in Gevrey classes. Zbl 0729.35002Rodino, L. 4 1987 ...and 21 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 954 Authors 51 Nicola, Fabio 47 Rodino, Luigi 44 Pilipović, Stevan 40 Cordero, Elena 39 Toft, Joachim 30 Cappiello, Marco 24 Teofanov, Nenad 23 Prangoski, Bojan 22 Gramchev, Todor V. 20 Ruzhansky, Michael V. 19 Prasad, Akhilesh 18 Oliaro, Alessandro 17 Wahlberg, Patrik 16 Coriasco, Sandro 13 Wong, Man Wah 12 Jornet, David 11 Trapasso, Salvatore Ivan 10 Han, Zhenlai 10 Vindas, Jasson 10 Zhao, Yige 9 Ascanelli, Alessia 9 Boggiatto, Paolo 9 Feichtinger, Hans Georg 9 Ghazaryan, Hayk G. 9 Mandal, Upain Kumar 9 Margaryan, Vachagan N. 9 Petronilho, Gerson 9 Sun, Shurong 9 Trujillo, Juan J. 8 Băleanu, Dumitru I. 8 Benchohra, Mouffak 8 Boiti, Chiara 8 Dattori da Silva, Paulo L. 8 Gröchenig, Karlheinz 8 Li, Haoguang 8 Parmeggiani, Alberto 8 Pravda-Starov, Karel 8 Schulz, René M. 7 Albanese, Angela Anna 7 de Gosson, Maurice Alexis 7 Garello, Gianluca 7 Garetto, Claudia 7 Li, Weixi 7 Los, Valerii M. 7 Murach, Aleksandr A. 7 Popivanov, Petar Radoev 6 Ardjouni, Abdelouaheb 6 Balachandran, Krishnan 6 Bernier, Joackim 6 Chen, Hua 6 Galbis, Antonio 6 Manna, Ramesh 6 Mughetti, Marco 6 Nguyễn Minh Trí 6 Nieto Roig, Juan Jose 6 Tomić, Filip 6 Zhang, Shuqin 5 Abdo, Mohammed Salem 5 Bai, Zhanbing 5 Bastianoni, Federico 5 Bhalekar, Sachin 5 Dasgupta, Aparajita 5 Delgado, Julio 5 Federico, Serena 5 Fernández, Carmen 5 Hamani, Samira 5 Hoepfner, Gustavo 5 Kiran, N. Uday 5 Li, Qiuping 5 Liu, Wenbin 5 Mahato, Kanailal 5 Morando, Alessandro 5 Panchal, Satish Kushaba 5 Staubach, Wolfgang 5 Tian, Yuansheng 5 Tokmagambetov, Niyaz Esenzholovich 5 Xu, Chao-Jiang 5 Zanghirati, Luisa 4 Abdeljawad, Ahmed 4 Asensio, Vicente 4 Bhimani, Divyang G. 4 Buzano, Ernesto 4 Chen, Anping 4 Chen, Taiyong 4 Chen, Yuanyuan 4 Cordaro, Paulo D. 4 Debrouwere, Andreas 4 Disconzi, Marcelo Mendes 4 Ebert, Marcelo Rempel 4 Himonas, A. Alexandrou 4 Johnsen, Jon 4 Kalleji, Morteza Koozehgar 4 Kou, Chunhai 4 Li, Changpin 4 Meurer, Thomas 4 Molahajloo, Shahla 4 Rezapour, Shahram 4 Sadarangani, Kishin B. 4 Schindl, Gerhard 4 Tomita, Naohito ...and 854 more Authors all top 5 Cited in 249 Serials 69 Journal of Pseudo-Differential Operators and Applications 48 Journal of Mathematical Analysis and Applications 40 Journal of Differential Equations 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Journal of Functional Analysis 22 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 Advances in Difference Equations 15 Mediterranean Journal of Mathematics 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 Mathematische Nachrichten 11 Journal d’Analyse Mathématique 10 Applied Mathematics and Computation 10 Applied and Computational Harmonic Analysis 9 Ukrainian Mathematical Journal 9 Boundary Value Problems 8 Advances in Mathematics 8 Monatshefte für Mathematik 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Complex Variables and Elliptic Equations 7 Journal of Mathematical Physics 7 Rocky Mountain Journal of Mathematics 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 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Applicable Analysis 6 Integral Equations and Operator Theory 6 Filomat 6 Fractional Calculus & Applied Analysis 6 Analysis and Applications (Singapore) 6 Journal of Function Spaces 5 Communications in Mathematical Physics 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Bulletin des Sciences Mathématiques 5 Discrete and Continuous Dynamical Systems 5 Acta Mathematica Sinica. 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Sezione VII 3 Inventiones Mathematicae 3 Mathematische Zeitschrift 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 Nonlinear Analysis. Hybrid Systems 3 Journal of Spectral Theory 3 Open Mathematics 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 Functiones et Approximatio. Commentarii Mathematici 2 Fuzzy Sets and Systems 2 Mathematische Annalen 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Stochastic Analysis and Applications 2 Annals of Global Analysis and Geometry 2 Applied Mathematics Letters 2 Journal of Integral Equations and Applications 2 The Journal of Geometric Analysis 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 Electronic Journal of Differential Equations (EJDE) ...and 149 more Serials all top 5 Cited in 49 Fields 543 Partial differential equations (35-XX) 309 Operator theory (47-XX) 222 Ordinary differential equations (34-XX) 220 Functional analysis (46-XX) 164 Harmonic analysis on Euclidean spaces (42-XX) 88 Real functions (26-XX) 48 Integral equations (45-XX) 45 Global analysis, analysis on manifolds (58-XX) 44 Quantum theory (81-XX) 34 Integral transforms, operational calculus (44-XX) 31 Numerical analysis (65-XX) 25 Systems theory; control (93-XX) 24 Abstract harmonic analysis (43-XX) 23 Several complex variables and analytic spaces (32-XX) 19 Probability theory and stochastic processes (60-XX) 18 Topological groups, Lie groups (22-XX) 16 Fluid mechanics (76-XX) 14 Special functions (33-XX) 13 Functions of a complex variable (30-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Approximations and expansions (41-XX) 9 General topology (54-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Differential geometry (53-XX) 6 Mechanics of deformable solids (74-XX) 6 Information and communication theory, circuits (94-XX) 4 Field theory and polynomials (12-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Number theory (11-XX) 3 \(K\)-theory (19-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-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 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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