Giacomo Gigante

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All published works

Action	Title	Year	Authors
+	Irregularities of Distribution on Two-Point Homogeneous Spaces	2025	Luca Brandolini Bianca Gariboldi Giacomo Gigante
+ PDF Chat	Single radius spherical cap discrepancy on compact two-point homogeneous spaces	2024	Luca Brandolini Bianca Gariboldi Giacomo Gigante Alessandro Monguzzi
+ PDF Chat	Single radius spherical cap discrepancy on compact two-point homogeneous spaces	2024	Luca Brandolini Bianca Gariboldi Giacomo Gigante Alessandro Monguzzi
+	A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction	2023	Michele Bucelli Martin Geraint Gabriel Alfio Quarteroni Giacomo Gigante Christian Vergara
+ PDF Chat	Euler–MacLaurin Summation Formula on Polytopes and Expansions in Multivariate Bernoulli Polynomials	2023	Luca Brandolini Leonardo Colzani Bianca Gariboldi Giacomo Gigante Alessandro Monguzzi
+	Equiconvergence for perturbed Jacobi polynomial expansions	2023	Giacomo Gigante K. Jotsaroop
+	On a discrete approach to lower bounds in discrepancy theory	2023	Luca Brandolini Bianca Gariboldi Giacomo Gigante Alessandro Monguzzi
+ PDF Chat	Almost positive kernels on compact Riemannian manifolds	2022	Bianca Gariboldi Giacomo Gigante
+	Almost positive kernels on compact Riemannian manifolds	2022	Bianca Gariboldi Giacomo Gigante
+	Euler-MacLaurin summation formula on polytopes and expansions in multivariate Bernoulli polynomials	2022	Luca Brandolini Leonardo Colzani Bianca Gariboldi Giacomo Gigante Alessandro Monguzzi
+	Irregularities of distribution on two point homogeneous spaces	2022	Luca Brandolini Bianca Gariboldi Giacomo Gigante
+	A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction	2022	Michele Bucelli Martin Geraint Gabriel Giacomo Gigante Alfio Quarteroni Christian Vergara
+ PDF Chat	Optimal asymptotic bounds for designs on manifolds	2021	Bianca Gariboldi Giacomo Gigante
+	Asymptotically optimal cubature formulas on manifolds for prefixed weights	2021	Martin Ehler Ujué Etayo Bianca Gariboldi Giacomo Gigante Thomas Peter
+ PDF Chat	On the stability of a loosely-coupled scheme based on a Robin interface condition for fluid-structure interaction	2021	Giacomo Gigante Christian Vergara
+ PDF Chat	Correction to: Variance of Lattice Point Counting in Thin Annuli	2020	Leonardo Colzani Bianca Gariboldi Giacomo Gigante
+ PDF Chat	On a sharp lemma of Cassels and Montgomery on manifolds	2020	Luca Brandolini Bianca Gariboldi Giacomo Gigante
+ PDF Chat	Variance of Lattice Point Counting in Thin Annuli	2020	Leonardo Colzani Bianca Gariboldi Giacomo Gigante
+	On a sharp lemma of Cassels and Montgomery on manifolds	2020	Luca Brandolini Bianca Gariboldi Giacomo Gigante
+ PDF Chat	Discrepancy for convex bodies with isolated flat points	2020	Luca Brandolini Leonardo Colzani Bianca Gariboldi Giacomo Gigante Giancarlo Travaglini
+ PDF Chat	Optimized Schwarz Methods for Spherical Interfaces With Application to Fluid-Structure Interaction	2020	Giacomo Gigante Giulia Sambataro Christian Vergara
+	Equiconvergence for perturbed Jacobi polynomial expansions	2020	K. Jotsaroop Giacomo Gigante
+	On a sharp lemma of Cassels and Montgomery on manifolds	2020	Luca Brandolini Bianca Gariboldi Giacomo Gigante
+ PDF Chat	$$L^{p}$$ L p Norms of the Lattice Point Discrepancy	2019	Leonardo Colzani Bianca Gariboldi Giacomo Gigante
+	On the stability of a loosely-coupled scheme based on a Robin interface condition for fluid-structure interaction	2019	Giacomo Gigante Christian Vergara
+	On the existence of asymptotically optimal cubature points	2018	Martin Ehler Giacomo Gigante Thomas Peter
+	Asymptotically optimal cubature formulas on manifolds for prefixed weights	2018	Martin Ehler Ujué Etayo Bianca Gariboldi Giacomo Gigante Thomas Peter
+	Discrepancy for convex bodies with isolated flat points	2018	Luca Brandolini Leonardo Colzani Bianca Gariboldi Giacomo Gigante Giancarlo Travaglini
+	Variance of Lattice Point Counting in Thin Annuli	2018	Leonardo Colzani Bianca Gariboldi Giacomo Gigante
+ PDF Chat	Mixed $L^{p}(L^{2})$ norms of the lattice point discrepancy	2018	Leonardo Colzani Bianca Gariboldi Giacomo Gigante
+ PDF Chat	Optimized Schwarz methods for the coupling of cylindrical geometries along the axial direction	2018	Giacomo Gigante Christian Vergara
+ PDF Chat	Discrepancy and Numerical Integration on Metric Measure Spaces	2018	Luca Brandolini William Chen Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+	Low-Discrepancy Sequences for Piecewise Smooth Functions on the Torus	2018	Luca Brandolini Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+	Asymptotically optimal cubature formulas on manifolds for prefixed weights	2018	Martin Ehler Ujué Etayo Bianca Gariboldi Giacomo Gigante Thomas Peter
+	Discrepancy for convex bodies with isolated flat points	2018	Luca Brandolini Leonardo Colzani Bianca Gariboldi Giacomo Gigante Giancarlo Travaglini
+	Variance of Lattice Point Counting in Thin Annuli	2018	Leonardo Colzani Bianca Gariboldi Giacomo Gigante
+ PDF Chat	Diameter Bounded Equal Measure Partitions of Ahlfors Regular Metric Measure Spaces	2016	Giacomo Gigante Paul Leopardi
+ PDF Chat	<i>L<sup>p</sup></i> and Weak–<i>L<sup>p</sup></i> estimates for the number of integer points in translated domains	2015	Luca Brandolini Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+ PDF Chat	Low-discrepancy sequences for piecewise smooth functions on the two-dimensional torus	2015	Luca Brandolini Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+	Low-discrepancy sequences for piecewise smooth functions on the two-dimensional torus	2015	Luca Brandolini Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+	$L^{p}$ and Weak-$L^{p}$ estimates for the number of integer points in translated domains	2015	Luca Brandolini Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+	Low-discrepancy sequences for piecewise smooth functions on the two-dimensional torus	2015	Luca Brandolini Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+	$L^{p}$ and Weak-$L^{p}$ estimates for the number of integer points in translated domains	2015	Luca Brandolini Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+	Quadrature rules and distribution of points on manifolds	2014	Luca Brandolini Christine Choirat Leonardo Colzani Giacomo Gigante Raffaello Seri Giancarlo Travaglini
+	Localization for Riesz means of Fourier expansions	2014	Leonardo Colzani Giacomo Gigante Ana Vargas
+	Summation formulas and integer points under shifted generalized hyperbolae	2014	Leonardo Colzani Giacomo Gigante
+ PDF Chat	Irregularities of Distribution and Average Decay of Fourier Transforms	2014	Luca Brandolini Giacomo Gigante Giancarlo Travaglini
+	Equiconvergence Theorems for Sturm Liouville Expansions and Sets of Divergence for Bochner Riesz Means in Sobolev Spaces	2013	Leonardo Colzani Giacomo Gigante Sara Volpi
+	Discrepancy and numerical integration in Sobolev spaces on metric measure spaces	2013	Luca Brandolini William Chen Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+ PDF Chat	Optimized Schwarz Methods for the Diffusion-Reaction Problem with Cylindrical Interfaces	2013	Giacomo Gigante Matteo Pozzoli Christian Vergara
+ PDF Chat	A Koksma–Hlawka Inequality for Simplices	2012	Luca Brandolini Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+	On the Koksma–Hlawka inequality	2012	Luca Brandolini Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+	On Koksma-Hlawka inequality	2011	Luca Brandolini Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+	Quadrature rules and distribution of points on manifolds	2010	Luca Brandolini Christine Choirat Leonardo Colzani Giacomo Gigante Raffaello Seri Giancarlo Travaglini
+ PDF Chat	Trigonometric approximation and a general form of the Erdős Turán inequality	2010	Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+	Trigonometric approximation and a general form of the Erd\H{o}s Tur\'{a}n inequality	2010	Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+	Convolution operators defined by singular measures on the motion group	2010	Luca Brandolini Giacomo Gigante Sundaram Thangavelu Giancarlo Travaglini
+ PDF Chat	A generalization of Bateman's expansion and finite integrals of Sonine's and Feldheim's type	2010	Giacomo Gigante
+ PDF Chat	Convolution operators defined by singular measures on the motion group	2010	Luca Brandolini Giacomo Gigante Sundaram Thangavelu Giancarlo Travaglini
+	Convolution operators defined by singular measures on the motion group	2010	Luca Brandolini Giacomo Gigante Sundaram Thangavelu Giancarlo Travaglini
+	Quadrature rules and distribution of points on manifolds	2010	Luca Brandolini Christine Choirat Leonardo Colzani Giacomo Gigante Raffaello Seri Giancarlo Travaglini
+	Trigonometric approximation and a general form of the Erdős Turán inequality	2010	Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+ PDF Chat	Equiconvergence theorems for Chébli-Trimèche hypergroups	2009	Luca Brandolini Giacomo Gigante
+ PDF Chat	Discrepancy for randomized Riemann sums	2009	Luca Brandolini William Chen Giacomo Gigante Giancarlo Travaglini
+ PDF Chat	On the boundedness in <i>H</i> <sup>1/4</sup> of the maximal square function associated with the Schrödinger equation	2007	Giacomo Gigante Fernando Soria
+ PDF Chat	Average decay estimates for Fourier transforms of measures supported on curves	2007	Luca Brandolini Giacomo Gigante Allan Greenleaf Alex Iosevich Andreas Seeger Giancarlo Travaglini
+	Generalized Bateman's expansions and finite integrals of Sonine's and Feldheim's type for hypergeometric functions	2006	Giacomo Gigante
+	Multi-dimensional trigonometric approximation and irregularities of point distribution	2006	Leonardo Colzani Giacomo Gigante Giancarlo Travaglini
+	Average decay estimates for Fourier transforms of measures supported on curves	2006	Luca Brandolini Giacomo Gigante Allan Greenleaf Alex Iosevich Andreas Seeger Giancarlo Travaglini
+	Continuous Gabor Transform for Strong Hypergroups	2003	Wojciech Czaja Giacomo Gigante
+	A note on oscillatory integrals and Bessel functions	2003	Giacomo Gigante Fernando Soria
+	None	2002	Giacomo Gigante Fernando Soria
+	Transference for hypergroups	2001	Giacomo Gigante
+	Some multiplier theorems on the sphere	2000	Roberto Oscar Gandulfo Giacomo Gigante

Common Coauthors

Coauthor	Papers Together
Luca Brandolini	36
Leonardo Colzani	33
Giancarlo Travaglini	29
Bianca Gariboldi	25
Christian Vergara	7
Alessandro Monguzzi	5
Martin Ehler	4
Sundaram Thangavelu	3
Ujué Etayo	3
Thomas Peter	3
Christine Choirat	3
William Chen	3
Fernando Soria	3
Raffaello Seri	3
Andreas Seeger	2
Allan Greenleaf	2
Alex Iosevich	2
Martin Geraint Gabriel	2
Michele Bucelli	2
Alfio Quarteroni	2
K. Jotsaroop	2
Roberto Oscar Gandulfo	1
Ana Vargas	1
Sara Volpi	1
Thomas Peter	1
Paul Leopardi	1
Giulia Sambataro	1
Wojciech Czaja	1
Matteo Pozzoli	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss	17
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	15
+	Irregularities of Distribution	1987	József Beck William Chen	13
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter	10
+	The analysis of linear partial differential operators	1990	Lars Hörmander	9
+	Fourier Transforms Related to Convex Sets	1962	Carl Herz	9
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	9
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery	8
+ PDF Chat	Sharp rate of average decay of the Fourier transform of a bounded set	2003	Luca Brandolini Steve Hofmann Alex Iosevich	8
+	Decay of Fourier transforms and summability of eigenfunction expansions	2000	Luca Brandolini Leonardo Colzani	8
+ PDF Chat	Average decay of Fourier transforms and geometry of convex sets	1998	Luca Brandolini Marco Rigoli Giancarlo Travaglini	8
+	Quadrature rules and distribution of points on manifolds	2014	Luca Brandolini Christine Choirat Leonardo Colzani Giacomo Gigante Raffaello Seri Giancarlo Travaglini	7
+	Note on irregularities of distribution	1956	H. Davenport	7
+ PDF Chat	Trigonometric approximation and a general form of the Erdős Turán inequality	2010	Leonardo Colzani Giacomo Gigante Giancarlo Travaglini	7
+ PDF Chat	<i>L<sup>p</sup></i> and Weak–<i>L<sup>p</sup></i> estimates for the number of integer points in translated domains	2015	Luca Brandolini Leonardo Colzani Giacomo Gigante Giancarlo Travaglini	7
+	On the Bethe-Sommerfeld conjecture for the polyharmonic operator	2001	Leonid Parnovski Alexander V. Sobolev	7
+ PDF Chat	Optimal asymptotic bounds for spherical designs	2013	Andriy Bondarenko Danylo Radchenko Maryna Viazovska	6
+	Number Theory, Fourier Analysis and Geometric Discrepancy	2014	Giancarlo Travaglini	6
+	A Quadrature Formula for Diffusion Polynomials Corresponding to a Generalized Heat Kernel	2010	Frank Filbir H. N. Mhaskar	6
+ PDF Chat	Average decay of Fourier transforms and integer points in polyhedra	1997	Luca Brandolini Leonardo Colzani Giancarlo Travaglini	6
+	On the Koksma–Hlawka inequality	2012	Luca Brandolini Leonardo Colzani Giacomo Gigante Giancarlo Travaglini	6
+	A fourth power discrepancy mean	2013	M. N. Huxley	5
+ PDF Chat	Diameter Bounded Equal Measure Partitions of Ahlfors Regular Metric Measure Spaces	2016	Giacomo Gigante Paul Leopardi	5
+	Convex Hypersurfaces and Fourier Transforms	1988	Joaquim Bruna Alexander Nagel Stephen Wainger	5
+	Hecke operators and distributing points on the sphere I	1986	Alexander Lubotzky Ralph S. Phillips Peter Sarnak	5
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	5
+ PDF Chat	Critical Dimensions for counting Lattice Points in Euclidean Annuli	2010	Leonid Parnovski Nadia Sidorova	5
+	�ber Integrale auf konvexen K�rpern I	1950	Edmund Hlawka	5
+	Integrale auf konvexen K�rpern II	1950	Edmund Hlawka	5
+	𝐿^{𝑝}-𝐿^{𝑝’} estimates for overdetermined Radon transforms	2007	Luca Brandolini Allan Greenleaf Giancarlo Travaglini	5
+ PDF Chat	Discrepancy and Numerical Integration on Metric Measure Spaces	2018	Luca Brandolini William Chen Leonardo Colzani Giacomo Gigante Giancarlo Travaglini	5
+	Diffusion polynomial frames on metric measure spaces	2007	Mauro Maggioni H. N. Mhaskar	5
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	5
+	A Treatise on the Theory of Bessel Functions	1944	H. T. Davis G. N. Watson	4
+ PDF Chat	Analysis and Optimization of Robin–Robin Partitioned Procedures in Fluid-Structure Interaction Problems	2010	Luca Gerardo‐Giorda Fabio Nobile Christian Vergara	4
+	Trigonometric approximation and a general form of the Erd\H{o}s Tur\'{a}n inequality	2010	Leonardo Colzani Giacomo Gigante Giancarlo Travaglini	4
+ PDF Chat	Irregularities of distribution. I	1987	József Beck	4
+ PDF Chat	Optimal asymptotic bounds for designs on manifolds	2021	Bianca Gariboldi Giacomo Gigante	4
+	Cubature over the sphere <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> in Sobolev spaces of arbitrary order	2006	Kerstin Hesse Ian H. Sloan	4
+ PDF Chat	Irregularities of Distribution and Average Decay of Fourier Transforms	2014	Luca Brandolini Giacomo Gigante Giancarlo Travaglini	4
+ PDF Chat	Convex curves, Radon transforms and convolution operators defined by singular measures	2000	Fulvio Ricci Giancarlo Travaglini	4
+ PDF Chat	Deterministic and probabilistic discrepancies	2008	William Chen Giancarlo Travaglini	4
+	Optimal lower bounds for cubature error on the sphere <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>	2005	Kerstin Hesse Ian H. Sloan	4
+	Note on Irregularities of Distribution II	1990	József Beck William Chen	4
+	Uniform Distribution, Discrepancy, and Reproducing Kernel Hilbert Spaces	2001	Clemens Amstler Peter Zinterhof	4
+ PDF Chat	The convolution structure for Jacobi function expansions	1973	Mogens Flensted–Jensen Tom H. Koornwinder	4
+	Optimal cubature formulas on compact homogeneous manifolds	2009	Alexander Kushpel	4
+	Koksma–Hlawka Inequality	2005	Fred J. Hickernell	4
+	Quadrature in Besov spaces on the Euclidean sphere	2006	Kerstin Hesse H. N. Mhaskar Ian H. Sloan	4
+	Harmonic Analysis of Probability Measures on Hypergroups	1995	Walter R. Bloom Herbert Heyer	4