Leonardo Colzani
CURRICULUM VITAE
Born in Milano, Italy, 5-1-1955.
Education:
1978 Laurea in Matematica, Universitą degli Studi di Milano.
1982 Ph.D., Washington University in St.Louis.
Positions held:
1983-1987 Researcher, Universitą degli Studi di Milano.
1985-1986 Visiting professor, Washington University in St.Louis.
1987-1990 Professor, Universitą della Calabria, Cosenza.
1990-1998 Professor, Universitą degli Studi di Milano.
1998-? Professor, Universitą degli Studi di Milano - Bicocca.
Field of study: Harmonic Analysis.
PUBLICATIONS
1- Leonardo Colzani “Sets of uniqueness of l(p) for general orthonormal complete systems”, Bollettino Unione Matematica Italiana 16 (1979), 1134-1143.
2- Leonardo Colzani “Existence of sets of uniqueness of l(p) for general orthonormal systems”, Proceedings American Mathematical Society 83 (1981), 569-572.
3- Leonardo Colzani and Paolo Maurizio Soardi “L(p) norms of certain kernels of the N-dimensional torus”, Transactions American Mathematical Society 266 (1981), 617-627.
3bis- Leonardo Colzani and Paolo Maurizio Soardi “L(p) norms of certain kernels of the N-dimensional torus”, Proceedings Seminar Harmonic Analysis (Pisa, 1980), Rendiconti Circolo Matematico Palermo suppl. 1, (1981), 175-177.
4- Leonardo Colzani and Paolo Maurizio Soardi “L(p) norms of Bochner-Riesz kernels on the torus”, Bollettino Unione Matematica Italiana 1 (1982), 97-102.
5- Leonardo Colzani “Convolution operators on H(p) spaces”, Rendiconti Istituto Lombardo Scienze Lettere 116 (1982), 149-156.
6- Leonardo Colzani “Fourier transform of distributions in Hardy spaces”, Bollettino Unione Matematica Italiana 1 (1982), 403-410.
7- Leonardo Colzani “Lipschitz spaces on compact rank one symmetric spaces”, in “Harmonic analysis, Cortona 1982”, Lecture Notes Mathematics 992 (1983) Springer Velag, 139-160.
8- Leonardo Colzani “Cesaro means of power series”, Bollettino Unione Matematica Italiana 3 (1984), 147-149.
9- Leonardo Colzani and Mitchell Taibleson and Guido Weiss “Maximal estimates for Cesaro and Riesz means on spheres”, Indiana University Mathematics Journal 33 (1984), 873-889.
10- Leonardo Colzani “Approximation in Hardy spaces”, Annali Matematica Pura Applicata 137 (1984), 207-215.
11- Leonardo Colzani “Hardy spaces on unit spheres”, Bollettino Unione Matematica Italiana IV (1985), 219-244.
12- Leonardo Colzani “Taylor coefficients of functions in certain weak Hardy spaces”, Bollettino Unione Matematica Italiana 4 (1985), 57-66.
13- Leonardo Colzani, “Regularity of spherical means and localization of spherical harmonic expansions”, Jourmal Australian Mathematical Society 41 (1986), 287-297.
14- Leonardo Colzani “Jackson theorems in Hardy spaces and approximation by Riesz means”, Journal Approximation Theory 49 (1987), 240-251.
15- Leonardo Colzani “Translation invariant operators on Lorentz spaces”, Annali Scuola Normale Superiore Pisa 14 (1987), 257-276.
16- Leonardo Colzani “Riesz means of eigenfunction expansions of elliptic differential operators on compact manifolds”, Rendiconti Seminario Matematico Fisico Milano 58 (1988), 149-167.
17- Leonardo Colzani “Is the approximation of a function by its Fejer means monotone?”, Journal Approximation Theory 56 (1989), 152-154.
18- Leonardo Colzani and Saverio Giulini and Giancarlo Travaglini “Sharp results for the mean summability of Fourier series on compact Lie groups”, Mathematische Annalen 285 (1989), 75-84.
19- Leonardo Colzani and Giancarlo Travaglini “Hardy-Lorentz spaces and expansions in eigenfunctions of the Laplace-Beltrami operator on compact manifolds”, Colloquium Mathematicum 58 (1990), 305-315.
20- Leonardo Colzani “Hankel transform on Lorentz spaces”, Colloquium Mathematicum 60/61 (1990), 71-76.
21- Leonardo Colzani and Saverio Giulini and Giancarlo Travaglini and Marco Vignati “Pointwise convergence of Fourier series on compact Lie groups”, Colloquium Mathematicum 60/61 (1990), 379-386.
22- Leonardo Colzani and Giancarlo Travaglini “Estimates for Riesz kernels of eigenfunction expansions of elliptic differential operators on compact manifolds”, Journal Functional Analysis 96 (1991), 1-30.
23- Leonardo Colzani and Marco Vignati “The Hilbert transform with exponential weights”, Proceedings American Mathematical Society 114 (1992), 451-457.
24- Leonardo Colzani “Expansions in Legendre polynomials and Lagrange interpolation”, Acta Mathematica Hungarica 61 (1993), 289-302.
25- Leonardo Colzani and Antonio Crespi and Giancarlo Travaglini and Marco Vignati “Equiconvergence theorems for Fourier-Bessel expansions with applications to the harmonic analysis of radial functions in Euclidean and non-Euclidean spaces”, Transactions American Mathematical Society 338 (1993), 43-55.
26- Leonardo Colzani and Giancarlo Travaglini and Marco Vignati “Bochner-Riesz means of functions in weak-L(p)”, Monatshefte Mathematik 115 (1993), 35-45.
27- Luca Brandolini and Leonardo Colzani “Bochner-Riesz means with negative index of radial functions in Sobolev spaces”, Rendiconti Circolo Matematico Palermo 42 (1993), 117-128.
28- Luca Brandolini and Leonardo Colzani “Is an operator on weak L(p) which commutes with translations a convolution?”, Annali Scuola Normale Superiore Pisa 21 (1994), 267-278.
29- Leonardo Colzani and Enrico Laeng “Tangential convergence of temperatures and harmonic functions in Besov and in Triebel-Lizorkin spaces”, Mathematische Nachrichten 172 (1995), 65-86.
30- Leonardo Colzani and Marco Vignati “The Gibbs phenomenon for multiple Fourier integrals”, Journal Approximation Theory 80 (1995), 119-131.
31- Luca Brandolini and Leonardo Colzani “Fourier transform, oscillatory multipliers and evolution equations in rearrangement invariant function spaces”, Colloquium Mathematicum 71 (1996), 273-286.
32- Leonardo Colzani “Approximation of Lebesgue integrals by Riemann sums and lattice points in domains with fractal boundary”, Monatshefte Mathematik 123 (1997), 299-308.
33- Luca Brandolini and Leonardo Colzani and Giancarlo Travaglini “Average decay of Fourier transforms and integer points in polyhedra”, Arkiv Matematik 35 (1997), 253-275.
34- Leonardo Colzani “Una serie di Eulero-Fourier ed il fenomeno di Wilbraham-Gibbs”, Lettera Matematica Pristem 26 (1997), 27-34.
35- Leonardo Colzani and Peter Sjogren “Translation-invariant operators on Lorentz spaces L(1,q) with 0<q<1”, Studia Mathematica 132 (1999), 101-124.
36- Luca Brandolini and Leonardo Colzani “Localization and convergence of eigenfunction expansions”, Journal Fourier Analysis Applications 5 (1999), 431-447.
37- Luca Brandolini and Leonardo Colzani “Decay of Fourier transforms and summability of eigenfunction expansions”, Annali Scuola Normale Superiore Pisa 29 (2000), 611-638.
38- Luca Brandolini and Leonardo Colzani and Andrea Torlaschi “Mean square decay of Fourier transforms in Euclidean and non Euclidean spaces”, Tohoku Mathematical Journal 53 (2001), 467-478.
39- Luca Brandolini and Leonardo Colzani and Alex Iosevich and Anatoly Podkorytov and Giancarlo Travaglini “Geometry of the Gauss map and lattice points in convex domains”, Matematika 48 (2001), 107-117.
40- Leonardo Colzani and Alice Cominardi and Krzysztof Stempak “Radial solutions to the wave equation”, Annali Matematica Pura Applicata 181 (2002), 25-54.
41- Luca Brandolini and Leonardo Colzani and Alex Iosevich and Giancarlo Travaglini “The rate of convergence of Fourier expansions: a geometric viewpoint”, Mathematische Zeitschrift 242 (2002), 709-724.
42- Leonardo Colzani “Time decay and regularity of solutions to the wave equation and convergence  of Fourier expansions”, Journal Fourier Analysis Applications 9 (2003), 49-66.
43- Leonardo Colzani and Federica Masiero “Approximation of eigenfunctions of elliptic differential operators”, Journal Approximation Theory 123 (2003), 13-24.
44- Leonardo Colzani and Ilaria Rocco and Giancarlo Travaglini “Quadratic estimates for the number of integer points in convex bodies”, Rendiconti Circolo Matematico Palermo 54 (2005), 241-252.
45- Enrica Borghi and Leonardo Colzani “De circuli magnitudine inventa”, Archimede (2005), 163-169.
46- Leonardo Colzani and Christopher Meaney and Elena Prestini “Almost everywhere convergence of inverse Fourier transforms”, Proceedings American Mathematical Society 134 (2006), 1651-1660.
47- Leonardo Colzani “Fourier expansions of functions with bounded variation of several variables”, Transactions American Mathematical Society 358 (2006), 5501-5521.
48- Maria Carro and Leonardo Colzani and Gord Sinnamon “From restricted type to strong type estimates on quasi-Banach rearrangement invariant spaces”, Studia Mathematica 182 (2007), 1-27.
49- Leonardo Colzani and Enrico Laeng and Carlo Morpurgo “Symmetrization and norm of the Hardy-Littlewood maximal operator on Lorentz and Marcinkiewicz spaces”, Journal London Mathematical Society 77 (2008), 349-362.
50- Leonardo Colzani and Enrico Laeng and Lucas Monzon “Variations on a theme of Boole and Stein-Weiss”, Journal Mathematical Analysis Applications 363 (2010), 225-229.
51- Leonardo Colzani and Javier Pérez Lįzaro “Eigenfunctions of the Hardy-Littlewood maximal operator”, Colloquium Mathematicum 118 (2010), 379-389.
52- Leonardo Colzani and Giacomo Gigante and Giancarlo TravagliniTrigonometric approximation and a general form of the Erdős Turįn inequality”, Transactions American Mathematical Society 363 (2011), 1101-1123.
53- Jesśs Munįrriz Aldaz and Leonardo Colzani and Javier Pérez Lįzaro “Optimal bounds on the modulus of continuity of the uncentered Hardy–Littlewood maximal function”, Journal Geometric Analysis 22 (2012), 132-167.
54- Leonardo Colzani and Leonede De Michele and Delfina RouxFourier expansions of piecewise smooth functions”, Mediterranean Journal Mathematics.