Fabio Nicola

ERC sectors

• Fellow - Accademia delle Scienze di Torino, Italia (2024-)
  Fellow
• Effective member - Istituto Nazionale di Alta Matematica (INDAM), Italia (2004-)

• JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS (2019-), Editorial board member

• Roles as evaluator or expert: “Y-START Programme” Austrian Science Fund 2018 “START-Programm – PROFI”, Austrian Science Fund 2022 “Principal Investigator Projects”, Austrian Sciences Fund 2023 (2018-)

• Special Research Fund (BOF). 2017
  GHENT UNIVERSITY

• DOTTORATO IN MATEMATICA PURA E APPLICATA, 2017/2018 (34. ciclo)
  Università degli Studi di TORINO
• DOTTORATO IN MATEMATICA PURA E APPLICATA, 2016/2017 (33. ciclo)
  Università degli Studi di TORINO
• DOTTORATO IN MATEMATICA PURA E APPLICATA, 2015/2016 (32. ciclo)
  Università degli Studi di TORINO
• DOTTORATO IN MATEMATICA PURA E APPLICATA, 2014/2015 (31. ciclo)
  Università degli Studi di TORINO
• DOTTORATO IN MATEMATICA PURA E APPLICATA, 2013/2014 (30. ciclo)
  Università degli Studi di TORINO
• MATEMATICA APPLICATA, 2012/2013 (29. ciclo)
  Politecnico di TORINO
• MATEMATICA PER LE SCIENZE DELL'INGEGNERIA, 2011/2012 (28. ciclo)
  Politecnico di TORINO

• Collegio di Ingegneria Biomedica. Componente
• Collegio di Ingegneria Matematica. Componente

Master of Science

• Analisi tempo-frequenza e multiscala. A.A. 2024/25, INGEGNERIA MATEMATICA. Titolare del corso
• Analisi tempo-frequenza e multiscala. A.A. 2023/24, INGEGNERIA MATEMATICA. Titolare del corso
• Analisi tempo-frequenza e multiscala. A.A. 2022/23, INGEGNERIA MATEMATICA. Titolare del corso
• Analisi tempo-frequenza e multiscala. A.A. 2021/22, INGEGNERIA MATEMATICA. Titolare del corso
• Analisi tempo-frequenza e multiscala. A.A. 2020/21, INGEGNERIA MATEMATICA. Titolare del corso
• Analisi tempo-frequenza e multiscala. A.A. 2019/20, INGEGNERIA MATEMATICA. Titolare del corso
• Analisi tempo-frequenza e multiscala. A.A. 2018/19, INGEGNERIA MATEMATICA. Titolare del corso

Bachelor of Science

• Analisi matematica II. A.A. 2024/25, INGEGNERIA BIOMEDICA. Titolare del corso
• Analisi matematica II. A.A. 2023/24, INGEGNERIA BIOMEDICA. Titolare del corso
• Analisi matematica II. A.A. 2022/23, INGEGNERIA BIOMEDICA. Titolare del corso
• Analisi matematica II. A.A. 2021/22, INGEGNERIA BIOMEDICA. Titolare del corso
• Analisi matematica II. A.A. 2020/21, INGEGNERIA BIOMEDICA. Titolare del corso
• Analisi matematica I. A.A. 2019/20, INGEGNERIA AEROSPAZIALE. Titolare del corso
• Analisi matematica I. A.A. 2018/19, INGEGNERIA AEROSPAZIALE. Titolare del corso

Quality of teaching: the course "Analisi tempo-frequenza e multiscala" first ranked among the courses of the Master's Degree Programme in Mathematical Engineering, according to the student questionnaire of the Joint committee on teaching 2023/2024

• Phase space analysis and applications to quantum mechanics (DISMA)

• Nonlinear Analysis and Calculus of Variations (DISMA)

• Federico Riccardi. Programme in Scienze Matematiche (39^th cycle, 2023-in progress)

• Nicola, Fabio (2024)
  Maximally localized Gabor orthonormal bases on locally compact Abelian groups. In: ADVANCES IN MATHEMATICS, vol. 451, pp. 1-24. ISSN 0001-8708
  Contributo su Rivista
• Nicola, F.; Trapasso, S. I. (2023)
  Stability of the scattering transform for deformations with minimal regularity. In: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES, vol. 180, pp. 122-150. ISSN 0021-7824
  Contributo su Rivista
• Bhimani, D. G.; Manna, R.; Nicola, F.; Thangavelu, S.; Trapasso, S. I. (2023)
  On heat equations associated with fractional harmonic oscillators. In: FRACTIONAL CALCULUS & APPLIED ANALYSIS, vol. 26, pp. 2470-2492. ISSN 1314-2224
  Contributo su Rivista
• Nicola, F. (2023)
  The uncertainty principle for the short-time Fourier transform on finite cyclic groups: Cases of equality. In: JOURNAL OF FUNCTIONAL ANALYSIS, vol. 284, pp. 1-13. ISSN 0022-1236
  Contributo su Rivista
• Nicola, F.; Tilli, P. (2023)
  THE NORM OF TIME-FREQUENCY AND WAVELET LOCALIZATION OPERATORS. In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 376, pp. 7353-7375. ISSN 0002-9947
  Contributo su Rivista
• Nicola, F.; Romero, J. L.; Trapasso, S. I. (2023)
  On the existence of optimizers for time–frequency concentration problems. In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, vol. 62. ISSN 0944-2669
  Contributo su Rivista
• Bruno, T; Cowling, Mg; Nicola, F; Tabacco, A (2022)
  ESTIMATES FOR MATRIX COEFFICIENTS OF REPRESENTATIONS. In: AMERICAN JOURNAL OF MATHEMATICS, vol. 144, pp. 943-965. ISSN 0002-9327
  Contributo su Rivista
• Trapasso, salvatore ivan; Nicola, Fabio (2022)
  Wave Packet Analysis of Feynman Path Integrals. S.L., Springer, P. 208. ISBN: 978-3-031-06185-1
  Libro
• Nicola, F.; Tilli, P. (2022)
  The Faber–Krahn inequality for the short-time Fourier transform. In: INVENTIONES MATHEMATICAE, vol. 230, pp. 1-30. ISSN 0020-9910
  Contributo su Rivista
• Cordero, E.; Gosson, M.; Dorfler, M.; Nicola, F. (2021)
  Signal Analysis Using Born–Jordan-Type Distributions. In: Excursions in harmonic analysis / Hirn M., Li S., Okoudjou K.A., Saliani S., Yilmaz O., S.L., Birkhauser, pp. 221-241. ISBN: 978-3-030-69636-8
  Contributo in Volume
• Bhimani, D. G.; Manna, R.; Nicola, F.; Thangavelu, S.; Trapasso, S. I. (2021)
  Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness. In: ADVANCES IN MATHEMATICS, vol. 392. ISSN 0001-8708
  Contributo su Rivista
• Cordero, E.; Nicola, F.; Trapasso, S. I. (2021)
  Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators. In: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, vol. 55, pp. 405-425. ISSN 1063-5203
  Contributo su Rivista
• Feichtinger, H. G.; Nicola, F.; Trapasso, S. I. (2021)
  On Exceptional Times for Pointwise Convergence of Integral Kernels in Feynman–Trotter Path Integrals. In: Springer INdAM Series / S.N., S.L., Springer-Verlag Italia s.r.l., pp. 293-311. ISBN: 978-3-030-61345-7
  Contributo in Volume
• Boggiatto, P.; Bruno, T.; Cordero, E.; Feichtinger, H. G.; Nicola, F.; Oliaro, A.; ..., a cura di (2020)
  Landscapes of Time-Frequency Analysis - ATFA 2019. S.L., Birkhäuser, P. 208. ISBN: 978-3-030-56004-1
  Curatele
• Bastianoni, Federico; Cordero, Elena; Nicola, Fabio (2020)
  Decay and Smoothness for Eigenfunctions of Localization Operators. In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 492. ISSN 0022-247X
  Contributo su Rivista
• Anh Bui, The; D'Ancona, Piero; Nicola, Fabio (2020)
  Sharp L^p estimates for Schrödinger groups on spaces of homogeneous type. In: REVISTA MATEMATICA IBEROAMERICANA, vol. 36, pp. 455-484. ISSN 0213-2230
  Contributo su Rivista
• Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio (2020)
  Generalized Born--Jordan Distributions and Applications. In: ADVANCES IN COMPUTATIONAL MATHEMATICS, vol. 46. ISSN 1019-7168
  Contributo su Rivista
• Cordero, Elena; De Gosson, Maurice; Nicola, Fabio (2020)
  A characterization of modulation spaces by symplectic rotations. In: JOURNAL OF FUNCTIONAL ANALYSIS, vol. 278. ISSN 0022-1236
  Contributo su Rivista
• Nicola, F.; Trapasso, S. I. (2020)
  A Note on the HRT Conjecture and a New Uncertainty Principle for the Short-Time Fourier Transform. In: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, vol. 26. ISSN 1069-5869
  Contributo su Rivista
• Nicola, F.; Trapasso, SALVATORE IVAN (2020)
  On the Pointwise Convergence of the Integral Kernels in the Feynman-Trotter Formula. In: COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 376, pp. 2277-2299. ISSN 0010-3616
  Contributo su Rivista
• Cauli, A.; Nicola, F.; Tabacco, A. (2019)
  Strichartz estimates for the metaplectic representation. In: REVISTA MATEMATICA IBEROAMERICANA, vol. 35, pp. 2079-2092. ISSN 0213-2230
  Contributo su Rivista
• Nicola, F.; Trapasso Salvatore, I. (2019)
  Approximation of Feynman path integrals with non-smooth potentials. In: JOURNAL OF MATHEMATICAL PHYSICS, vol. 60. ISSN 0022-2488
  Contributo su Rivista
• Cordero, E.; Nicola, F.; Trapasso, SALVATORE IVAN (2019)
  Almost Diagonalization of τ -Pseudodifferential Operators with Symbols in Wiener Amalgam and Modulation Spaces. In: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, vol. 25, pp. 1927-1957. ISSN 1069-5869
  Contributo su Rivista
• Nicola, Fabio; Primo, Eva; Tabacco, Anita (2019)
  Highly oscillatory unimodular Fourier multipliers on modulation spaces. In: JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, vol. 10, pp. 359-378. ISSN 1662-9981
  Contributo su Rivista
• Cordero, Elena; Nicola, Fabio (2019)
  Kernel Theorems for Modulation Spaces. In: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, vol. 25, pp. 131-144. ISSN 1069-5869
  Contributo su Rivista
• Boggiatto, Paolo; Cordero, Elena; de Gosson, Maurice; Feichtinger, Hans; Nicola, Fabio; ..., a cura di (2019)
  Landscapes of Time-Frequency Analysis. Basel, Birkhäuser Basel, P. 347. ISBN: 978-3-030-05209-6
  Curatele
• Cordero, Elena; De Gosson, Maurice; Nicola, Fabio (2019)
  On the positivity of trace class operators. In: ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, vol. 23, pp. 2061-2091. ISSN 1095-0761
  Contributo su Rivista
• Cordero, Elena; de Gosson, Maurice; Doerfler, Monika; Nicola, Fabio (2018)
  On the symplectic covariance and interferences of time-frequency distributions. In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 50, pp. 2178-2193. ISSN 0036-1410
  Contributo su Rivista
• de Gosson, Maurice; Nicola, Fabio (2018)
  Born-Jordan Pseudodifferential Operators and the Dirac Correspondence: Beyond the Groenewold-van Hove Theorem. In: BULLETIN DES SCIENCES MATHEMATIQUES, vol. 144, pp. 64-81. ISSN 0007-4497
  Contributo su Rivista
• Cordero, Elena; Nicola, Fabio; Primo, Eva (2018)
  On Fourier integral operators with Hölder-continuous phase. In: ANALYSIS AND APPLICATIONS, vol. 16, pp. 875-893. ISSN 0219-5305
  Contributo su Rivista