Edit Profile (opens in new tab) Alberti, Giovanni S. Co-Author Distance Author ID: alberti.giovanni-s Published as: Alberti, Giovanni S.; Alberti, G. S. Homepage: http://www.dima.unige.it/~alberti/ External Links: MGP · ORCID Documents Indexed: 34 Publications since 2013, including 1 Book and 2 Additional arXiv Preprints Reviewing Activity: 35 Reviews Co-Authors: 29 Co-Authors with 28 Joint Publications 824 Co-Co-Authors all top 5 Co-Authors 6 single-authored 8 Santacesaria, Matteo 6 Capdeboscq, Yves 6 De Mari, Filippo 6 De Vito, Ernesto 5 Ammari, Habib 2 Bartolucci, Francesca 2 Dahlke, Stephan 2 Wintz, Timothée 1 Alaifari, Rima 1 Arroyo, Angel 1 Bal, Guillaume 1 Balletti, L. 1 Brown, Malcolm W. 1 Campodonico, Paolo 1 Di Cristo, Michele 1 Felisi, Alessandro 1 Führ, Hartmut 1 Gauksson, Tandri 1 Jin, Bangti 1 Mantovani, Lucia 1 Marletta, Marco 1 Petit, Romain 1 Privat, Yannick 1 Ruan, Kaixi 1 Seo, Jin Keun 1 Trapasso, Salvatore Ivan 1 Vigogna, Stefano 1 Wood, Ian Geoffrey 1 Zhang, Wenlong all top 5 Serials 4 SIAM Journal on Imaging Sciences 3 Archive for Rational Mechanics and Analysis 2 Inverse Problems 2 SIAM Journal on Mathematical Analysis 2 Applied and Computational Harmonic Analysis 1 Applicable Analysis 1 Nonlinearity 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Calculus of Variations and Partial Differential Equations 1 The Journal of Fourier Analysis and Applications 1 Annales Henri Poincaré 1 Analysis and Applications (Singapore) 1 Cours Spécialisés (Paris) 1 Forum of Mathematics, Sigma 1 Séminaire Laurent Schwartz. EDP et Applications 1 Mathematics in Engineering all top 5 Fields 24 Partial differential equations (35-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Information and communication theory, circuits (94-XX) 6 Biology and other natural sciences (92-XX) 5 Numerical analysis (65-XX) 4 Topological groups, Lie groups (22-XX) 4 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 3 Optics, electromagnetic theory (78-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 221 times in 142 Documents Cited by ▼ Year ▼ Lectures on elliptic methods for hybrid inverse problems. Zbl 1391.35002 Alberti, Giovanni S.; Capdeboscq, Yves 36 2018 Calderón’s inverse problem with a finite number of measurements. Zbl 1426.35235 Alberti, Giovanni S.; Santacesaria, Matteo 23 2019 Elliptic regularity theory applied to time harmonic anisotropic Maxwell’s equations with less than Lipschitz complex coefficients. Zbl 1294.35156 Alberti, Giovanni S.; Capdeboscq, Yves 18 2014 The linearized inverse problem in multifrequency electrical impedance tomography. Zbl 1381.94006 Alberti, Giovanni S.; Ammari, Habib; Jin, Bangti; Seo, Jin-Keun; Zhang, Wenlong 15 2016 Critical points for elliptic equations with prescribed boundary conditions. Zbl 1378.35099 Alberti, Giovanni S.; Bal, Guillaume; Di Cristo, Michele 10 2017 Reproducing subgroups of \(Sp(2,\mathbb{R})\). I: Algebraic classification. Zbl 1311.22008 Alberti, G. S.; Balletti, L.; De Mari, F.; De Vito, E. 10 2013 Infinite-dimensional inverse problems with finite measurements. Zbl 1481.35390 Alberti, Giovanni S.; Santacesaria, Matteo 10 2022 Enforcing local non-zero constraints in PDEs and applications to hybrid imaging problems. Zbl 1333.35029 Alberti, Giovanni S. 9 2015 On multiple frequency power density measurements. Zbl 1288.35204 Alberti, Giovanni S. 9 2013 Reproducing subgroups of \(\mathrm{Sp}(2,\mathbb R)\). II: Admissible vectors. Zbl 1305.42034 Alberti, Giovanni S.; De Mari, Filippo; De Vito, Ernesto; Mantovani, Lucia 9 2014 Disjoint sparsity for signal separation and applications to hybrid inverse problems in medical imaging. Zbl 1354.94002 Alberti, Giovanni S.; Ammari, Habib 8 2017 Hölder regularity for Maxwell’s equations under minimal assumptions on the coefficients. Zbl 1397.35299 Alberti, Giovanni S. 7 2018 Recent progress in shearlet theory: systematic construction of shearlet dilation groups, characterization of wavefront sets, and new embeddings. Zbl 1392.42031 Alberti, Giovanni S.; Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Führ, Hartmut 6 2017 Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE. Zbl 1460.94018 Alberti, Giovanni S.; Santacesaria, Matteo 6 2021 Mathematical analysis of ultrafast ultrasound imaging. Zbl 1355.65123 Alberti, Giovanni S.; Ammari, Habib; Romero, Francisco; Wintz, Timothée 5 2017 On multiple frequency power density measurements II. The full Maxwell’s equations. Zbl 1319.35294 Alberti, Giovanni S. 5 2015 Dynamic spike superresolution and applications to ultrafast ultrasound imaging. Zbl 1439.65236 Alberti, Giovanni S.; Ammari, Habib; Romero, Francisco; Wintz, Timothée 5 2019 Multi-frequency acousto-electromagnetic tomography. Zbl 1348.35309 Alberti, Giovanni S.; Ammari, Habib; Ruan, Kaixi 4 2016 Unitarization and inversion formulae for the Radon transform between dual pairs. Zbl 1436.44002 Alberti, Giovanni S.; Bartolucci, Francesca; De Mari, Filippo; De Vito, Ernesto 4 2019 Absence of critical points of solutions to the Helmholtz equation in 3D. Zbl 1354.35017 Alberti, Giovanni S. 3 2016 On local non-zero constraints in PDE with analytic coefficients. Zbl 1359.35038 Alberti, Giovanni S.; Capdeboscq, Yves 3 2016 Calderón’s inverse problem with a finite number of measurements. II: independent data. Zbl 1494.35179 Alberti, Giovanni S.; Santacesaria, Matteo 3 2022 About some hybrid inverse problems. (À propos de certains problèmes inverses hybrides.) Zbl 1485.35418 Alberti, Giovanni S.; Capdeboscq, Yves 2 2014 Essential spectrum for Maxwell’s equations. Zbl 1416.35257 Alberti, Giovanni S.; Brown, Malcolm; Marletta, Marco; Wood, Ian 2 2019 On the randomised stability constant for inverse problems. Zbl 1487.35434 Alberti, Giovanni S.; Capdeboscq, Yves; Privat, Yannick 2 2020 Combining the Runge approximation and the Whitney embedding theorem in hybrid imaging. Zbl 1489.35046 Alberti, Giovanni S.; Capdeboscq, Yves 2 2022 Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems. Zbl 1501.35451 Alberti, Giovanni S. 2 2022 Continuous and discrete frames generated by the evolution flow of the Schrödinger equation. Zbl 1382.42020 Alberti, Giovanni S.; Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Vigogna, Stefano 1 2017 Radon transform: dual pairs and irreducible representations. Zbl 1492.44002 Alberti, Giovanni S.; Bartolucci, Francesca; De Mari, Filippo; De Vito, Ernesto 1 2020 Short communication: localized adversarial artifacts for compressed sensing MRI. Zbl 07754948 Alaifari, Rima; Alberti, Giovanni S.; Gauksson, Tandri 1 2023 Short communication: localized adversarial artifacts for compressed sensing MRI. Zbl 07754948 Alaifari, Rima; Alberti, Giovanni S.; Gauksson, Tandri 1 2023 Infinite-dimensional inverse problems with finite measurements. Zbl 1481.35390 Alberti, Giovanni S.; Santacesaria, Matteo 10 2022 Calderón’s inverse problem with a finite number of measurements. II: independent data. Zbl 1494.35179 Alberti, Giovanni S.; Santacesaria, Matteo 3 2022 Combining the Runge approximation and the Whitney embedding theorem in hybrid imaging. Zbl 1489.35046 Alberti, Giovanni S.; Capdeboscq, Yves 2 2022 Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems. Zbl 1501.35451 Alberti, Giovanni S. 2 2022 Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE. Zbl 1460.94018 Alberti, Giovanni S.; Santacesaria, Matteo 6 2021 On the randomised stability constant for inverse problems. Zbl 1487.35434 Alberti, Giovanni S.; Capdeboscq, Yves; Privat, Yannick 2 2020 Radon transform: dual pairs and irreducible representations. Zbl 1492.44002 Alberti, Giovanni S.; Bartolucci, Francesca; De Mari, Filippo; De Vito, Ernesto 1 2020 Calderón’s inverse problem with a finite number of measurements. Zbl 1426.35235 Alberti, Giovanni S.; Santacesaria, Matteo 23 2019 Dynamic spike superresolution and applications to ultrafast ultrasound imaging. Zbl 1439.65236 Alberti, Giovanni S.; Ammari, Habib; Romero, Francisco; Wintz, Timothée 5 2019 Unitarization and inversion formulae for the Radon transform between dual pairs. Zbl 1436.44002 Alberti, Giovanni S.; Bartolucci, Francesca; De Mari, Filippo; De Vito, Ernesto 4 2019 Essential spectrum for Maxwell’s equations. Zbl 1416.35257 Alberti, Giovanni S.; Brown, Malcolm; Marletta, Marco; Wood, Ian 2 2019 Lectures on elliptic methods for hybrid inverse problems. Zbl 1391.35002 Alberti, Giovanni S.; Capdeboscq, Yves 36 2018 Hölder regularity for Maxwell’s equations under minimal assumptions on the coefficients. Zbl 1397.35299 Alberti, Giovanni S. 7 2018 Critical points for elliptic equations with prescribed boundary conditions. Zbl 1378.35099 Alberti, Giovanni S.; Bal, Guillaume; Di Cristo, Michele 10 2017 Disjoint sparsity for signal separation and applications to hybrid inverse problems in medical imaging. Zbl 1354.94002 Alberti, Giovanni S.; Ammari, Habib 8 2017 Recent progress in shearlet theory: systematic construction of shearlet dilation groups, characterization of wavefront sets, and new embeddings. Zbl 1392.42031 Alberti, Giovanni S.; Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Führ, Hartmut 6 2017 Mathematical analysis of ultrafast ultrasound imaging. Zbl 1355.65123 Alberti, Giovanni S.; Ammari, Habib; Romero, Francisco; Wintz, Timothée 5 2017 Continuous and discrete frames generated by the evolution flow of the Schrödinger equation. Zbl 1382.42020 Alberti, Giovanni S.; Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Vigogna, Stefano 1 2017 The linearized inverse problem in multifrequency electrical impedance tomography. Zbl 1381.94006 Alberti, Giovanni S.; Ammari, Habib; Jin, Bangti; Seo, Jin-Keun; Zhang, Wenlong 15 2016 Multi-frequency acousto-electromagnetic tomography. Zbl 1348.35309 Alberti, Giovanni S.; Ammari, Habib; Ruan, Kaixi 4 2016 Absence of critical points of solutions to the Helmholtz equation in 3D. Zbl 1354.35017 Alberti, Giovanni S. 3 2016 On local non-zero constraints in PDE with analytic coefficients. Zbl 1359.35038 Alberti, Giovanni S.; Capdeboscq, Yves 3 2016 Enforcing local non-zero constraints in PDEs and applications to hybrid imaging problems. Zbl 1333.35029 Alberti, Giovanni S. 9 2015 On multiple frequency power density measurements II. The full Maxwell’s equations. Zbl 1319.35294 Alberti, Giovanni S. 5 2015 Elliptic regularity theory applied to time harmonic anisotropic Maxwell’s equations with less than Lipschitz complex coefficients. Zbl 1294.35156 Alberti, Giovanni S.; Capdeboscq, Yves 18 2014 Reproducing subgroups of \(\mathrm{Sp}(2,\mathbb R)\). II: Admissible vectors. Zbl 1305.42034 Alberti, Giovanni S.; De Mari, Filippo; De Vito, Ernesto; Mantovani, Lucia 9 2014 About some hybrid inverse problems. (À propos de certains problèmes inverses hybrides.) Zbl 1485.35418 Alberti, Giovanni S.; Capdeboscq, Yves 2 2014 Reproducing subgroups of \(Sp(2,\mathbb{R})\). I: Algebraic classification. Zbl 1311.22008 Alberti, G. S.; Balletti, L.; De Mari, F.; De Vito, E. 10 2013 On multiple frequency power density measurements. Zbl 1288.35204 Alberti, Giovanni S. 9 2013 all cited Publications top 5 cited Publications all top 5 Cited by 215 Authors 21 Alberti, Giovanni S. 10 De Mari, Filippo 9 Ammari, Habib 8 De Vito, Ernesto 6 Capdeboscq, Yves 6 Santacesaria, Matteo 5 Führ, Hartmut 5 Knudsen, Kim M. 5 Spence, Euan A. 4 Bal, Guillaume 4 Bartolucci, Francesca 4 Beretta, Elena 4 Francini, Elisa 4 Harrach, Bastian 4 Hyvönen, Nuutti 3 Dahlke, Stephan 3 Deng, Haiyun 3 Griesmaier, Roland 3 Jin, Bangti 3 Knöller, Marvin 3 Liu, Hairong 3 Marletta, Marco 3 Moiola, Andrea 3 Pedregal, Pablo 3 Vessella, Sergio 3 Vigogna, Stefano 2 Ahn, Chi Young 2 Aspri, Andrea 2 Aylwin, Rubén 2 Chaumont-Frelet, Théophile 2 Ferraresso, Francesco 2 Franzina, Giovanni 2 Furuya, Takashi 2 Garde, Henrik 2 Hubmer, Simon 2 Jerez-Hanckes, Carlos 2 Klibanov, Michael V. 2 Koch, René 2 Monti, Matteo 2 Roy, Souvik 2 Rüland, Angkana 2 Salo, Mikko 2 Seo, Jin Keun 2 Sherina, Ekaterina Sergeevna 2 Sini, Mourad 2 Tian, Long 2 Triki, Faouzi 2 Yun, Sangwoon 2 Zhang, Wenlong 1 Abdulla, Ugur G. 1 Adesokan, Bolaji James 1 Arens, Tilo 1 Arroyo, Angel 1 Barucq, Hélène 1 Biros, George 1 Bögli, Sabine 1 Bohr, Jan 1 Borzì, Alfio 1 Bredies, Kristian 1 Brown, Malcolm W. 1 Campodonico, Paolo 1 Carioni, Marcello 1 Casadio Tarabusi, Enrico 1 Cekić, Mihajlo 1 Challa, Durga Prasad 1 Chicaud, Damien 1 Choudhury, Anupam Pal 1 Choulli, Mourad 1 Ciarlet, Patrick jun. 1 Cordero, Elena 1 Cossetti, Lucrezia 1 Currey, Bradley Norton III 1 Dai, Tianrui 1 Darbas, Marion 1 de Hoop, Maarten V. 1 Di Cristo, Michele 1 Doschoris, Michael 1 Duval, Vincent 1 El-Salloum, Christian 1 Fanzon, Silvio 1 Farashahi, Arash Ghaani 1 Faucher, Florian 1 Fernandez-Corbaton, Ivan 1 Ferreira, A. D. 1 Flynn, Steven 1 Fragoyiannis, George 1 Gatto, Paolo 1 Giacchi, Gianluca 1 Giovangigli, Laure 1 Giri, Ankik Kumar 1 Graham, Ivan G. 1 Gröchenig, Karlheinz 1 Haltmeier, Markus 1 Hannukainen, Antti 1 Heleine, Jérémy 1 Henriksson, Tommy N. T. 1 Hetrick, Hank 1 Hiptmair, Ralf 1 Hoffmann, Kristoffer 1 Huttunen, Tomi ...and 115 more Authors all top 5 Cited in 59 Serials 19 Inverse Problems 10 SIAM Journal on Mathematical Analysis 7 Applied and Computational Harmonic Analysis 7 SIAM Journal on Imaging Sciences 5 Journal of Differential Equations 5 SIAM Journal on Applied Mathematics 5 Calculus of Variations and Partial Differential Equations 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Journal of Functional Analysis 3 Analysis and Applications (Singapore) 3 Inverse Problems in Science and Engineering 2 Israel Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Journal of Inverse and Ill-Posed Problems 2 The Journal of Fourier Analysis and Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Inverse Problems and Imaging 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Mathematics in Engineering 1 Computers & Mathematics with Applications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Nonlinearity 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 Colloquium Mathematicum 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Journal of Global Optimization 1 Journal of Mathematical Sciences (New York) 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Lie Theory 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Annales Henri Poincaré 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Complex Analysis and Operator Theory 1 Optimization Letters 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis and Mathematical Physics 1 Mathematical Control and Related Fields 1 Forum of Mathematics, Sigma 1 East Asian Journal on Applied Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Cited in 35 Fields 102 Partial differential equations (35-XX) 43 Numerical analysis (65-XX) 31 Optics, electromagnetic theory (78-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 17 Information and communication theory, circuits (94-XX) 16 Biology and other natural sciences (92-XX) 9 Topological groups, Lie groups (22-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Operations research, mathematical programming (90-XX) 8 Abstract harmonic analysis (43-XX) 8 Operator theory (47-XX) 7 Integral transforms, operational calculus (44-XX) 5 Functional analysis (46-XX) 5 Fluid mechanics (76-XX) 4 Differential geometry (53-XX) 4 Computer science (68-XX) 3 Measure and integration (28-XX) 3 Approximations and expansions (41-XX) 3 Geometry (51-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 3 Geophysics (86-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Citations by Year