Fourier series in BMO with number theoretical applications
F. Chamizo, A. Córdoba and A. Ubis
Math. Annal. 376 (2020), 457-473.
A note on generalized Laplacians and minimal surfaces
A. Córdoba, J. Ocáriz
Bull. London Math. Soc. 52 (2020), no. 1, 153-157.
Uniqueness for SQG patch solutions
A. Córdoba, D. Córdoba, F. Gancedo
Trans. Amer. Math. Soc. Ser. B 5 (2018), 1-31
Integral representation for fractional Laplace-Beltrami operators
D. Alonso-Orán, A. Córdoba, Á.D. Martínez
Adv. Math. 328 (2018), 436-445
Global well-posedness of critical surface quasigeostrophic equation on the sphere
D. Alonso-Orán, A. Córdoba, Á.D. Martínez
Adv. Math. 328 (2018), 248-263
Continuity of weak solutions of the critical surface quasigeostrophic equation on S^2.
D. Alonso-Orán, A. Córdoba, Á.D. Martínez
Adv. Math. 328 (2018), 264-299
Radial multipliers and restriction to surfaces of the Fourier transform in mixed-norm spaces
A. Córdoba, E. Latorre
Math. Z. 286 (2017), no. 3-4, 1479-1493
A. Córdoba
Adv. Math. 290 (2016), 208-235
A pointwise inequality for fractional Laplacians
A. Córdoba, Á.D. Martinez
Adv. Math. 280 (2015), 79-85.
Weighted estimates for conic multipliers
A. Córdoba and K. Rogers
Math. Z. 278 (2014), no. 1-2, 431-440.
Porous media: the Muskat problem in three dimensions
A. Córdoba, D. Córdoba, F. Gancedo
Anal. PDE 6 (2013), no. 2, 447-497
Interface evolution: the Hele-Shaw and Muskat problems.
A. Córdoba, D. Córdoba, F. Gancedo
Annals of Math. 173 (2011), 477-542.
Interface evolution: water waves in 2-D
A. Córdoba, D. Córdoba, F. Gancedo
Adv. Math. 223 (2010), 120-173.
The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces.
A. Córdoba, D. Córdoba, F. Gancedo
Proc. Natl. Acad. Sci. 106 (2009), no. 27, 10955-10959.
Encounters at the Interface between Number Theory and Harmonic Analysis.
A. Córdoba
Proceedings of the "Segundas Jornadas de Teoría de Números", 2007, 1-19
P. Balodis, A. Córdoba
Advances in Mathematics, 214 (2007), 1-39
Integral inequalities for the Hilbert transform applied to a nonlocal transport equation.
A. Córdoba, D.Córdoba, M.A. Fontelos
J. Math. Pures Appl., Volume 86, Issue 6 , December 2006, Pages 529-540
Phase transitions: uniform regularity of the intermediate layers.
L. Caffarelli, A. Córdoba
Journal Reine Angew. Math. (Crelle), vol 593 (2006), 209-235
Formation of singularities for a transport equation with non-local velocity.
A. Córdoba, D. Córdoba, M.A. Fontelos
Annals of Mathematics (2), 162 (2005), nº 3, 1377-1389.
Finite time singularities in a 1D model of the quasi-geostrophic equation.
D. Chae, A. Córdoba, D. Córdoba, M.A. Fontelos
Advances in Mathematics, 194 (2005), nº 1, 203-223
A maximum principle applied to quasi-geostrophic equations.
A. Córdoba, D. Córdoba
Comm. Math. Phys., 249 (2004), no. 3, 511-528
A geometric constraint for capillary jet breakup.
A. Córdoba, D. Córdoba, C.L. Fefferman, M.A. Fontelos
Advances in Mathematics, 187 (2004), no. 1, 228-239
A. Córdoba, D. Córdoba
Proc. Natl. Acad. Sci. USA, 100 (2003), no. 26, 15316-15317
A path integral approach to lattice point problems.
F. Chamizo, A. Córdoba
J. Math. Pures Appl. (9), 81 (2002), no. 10, 957-966
Drops: The collapse of capillary jets.
A. Córdoba, D. Córdoba, C.L. Fefferman, M.A. Fontelos
Proc. Natl. Acad. Sci. USA, 99 (2002), no. 17, 11006-11007
Principal components value at risk.
R. Brummelhuis, A. Córdoba, M. Quintanilla, L.Á. Seco
Math. Finance, 12 (2002), no. 1, 23-43
Differentiability and dimension of some fractal Fourier series.
A. Córdoba, F. Chamizo
Adv. Math. 142 (1999), no. 2, 335-354.
The convergence of multidimensional Fourier-Bessel series
P. Balodis, A. Córdoba
J. Anal. Math. 77 (1999), 269-286.
Convergence and divergence of decreasing rearranged Fourier series
A. Córdoba, P. Fernández Gallardo
SIAM J. Math. Anal. 29 (1998), no. 5, 1129-1139.
One dimensional crystals and quadratic residues.
A. Córdoba, F. Chamizo
J. Number Theory 65 (1997), no. 1, 101-104.
A. Córdoba
J. Fourier Anal. Appl. 3 (1997), 859-870.
A number-theoretic estimate for the Thomas-Fermi density
A. Córdoba, C.L. Fefferman, L.Á. Seco
Comm. Partial Differential Equations 21 (1996), 1087-1102.
Weyl sums and atomic energy oscillations
A. Córdoba, C.L. Fefferman, L.Á. Seco
Rev. Mat. Iberoamericana 11 (1995), no. 1, 165-226.
Uniform convergence of a singular perturbation problem
L.A. Caffarelli, A. Córdoba
Comm. Pure and Appl. Math. 48 (1995), no. 1, 1-12.
El análisis armónico y la propagación de la luz: un ensayo
A. Córdoba
La luz, presente, pasado y futuro. Alianza Editorial, 1995.
A trigonometric sum relevant to the non-relativistic theory of atoms
A. Córdoba, C.L. Fefferman, L.Á. Seco
Proc. Nat. Acad. Sci. USA 91 (1994), no. 13, 5776-5778.
J. Cilleruelo, A. Córdoba
Duke Math. J. 76 (1994), no. 3, 741-750.
A. Córdoba
Bull. London Math. Soc. 25 (1993), no. 1, 81-82.
The fractal dimension of a family of Riemann's graphs
A. Córdoba, F. Chamizo
C.R. Acad. Sci. Paris Sér. I Math. 317 (1993), no. 5, 455-460.
A counterexample in operator theory
A. Córdoba
Publ. Mat. 37 (1993), no. 2, 335-338.
An elementary regularity theory of minimal surfaces
L. Caffarelli, A. Córdoba
Differential Integral Equations 6 (1993), no. 1, 1-13.
B2[∞]-sequences of square numbers
J. Cilleruelo, A. Córdoba
Acta Arith. 61 (1992), no. 3, 265-270.
Trigonometric polynomials and lattice points
J. Cilleruelo, A. Córdoba
Proc. Amer. Math. Soc. 115 (1992), no. 4, 899-905.
A. Córdoba
Duke Math. J. 58 (1989), no. 1, 21-29.
A. Córdoba
Lett. Math. Phys. 17 (1989), no. 3, 191-196.
Band-limited functions: Lp convergence
J.A. Barceló, A. Córdoba
Trans. Amer. Math. Soc. 313 (1989), no. 2, 655-669.
Obituario: José Luis Rubio de Francia (1949-88). Semblanza de su vida y obra
A. Córdoba
Rev. Mat. Iberoamericana 4 (1988), no. 1, 1-10.
La formule sommatoire de Poisson
A. Córdoba
C. R. Acad. Sci. Paris Sér. I Math. 306 (1988), no. 8, 373-376.
Band-limited Functions: Lp -convergence
J. Barceló, A. Córdoba
Bull. Amer. Math. Soc. 18 (1988), no. 2, 163-166.
Estimates for Wainger's singular integral along curves
A. Córdoba, J.L. Rubio de Francia
Rev. Mat. Iberoamericana 2 (1986), no. 1-2, 105-117.
Lp -estimates for maximal functions and Hilbert transforms along flat convex curves in R2
H. Carlsson, M. Christ, A. Córdoba, J. Duoandikoetxea, J.L. Rubio de Francia
Bull. Amer. Math. Soc. 14 (1986), no. 2, 263-267.
Lp bounds for the Hilbert transform along convex curves
A. Córdoba, A. Nagel, J. Vance, S. Wainger, D. Weinberg
Invent. Math. 83 (1985), no. 1, 59-71.
Restriction lemmas, spherical summation, maximal functions, square functions and all that
A. Córdoba
North-Holland Math. Studies 111 (1985), 57-64.
An integral inequality for the disc multiplier
A. Córdoba
Proc. Amer. Math. Soc. 92 (1984), no. 3., 407-408.
Vector valued inequalities for multipliers
A. Córdoba
En "Conference on harmonic analysis in honor of Antoni Zygmund, Vol. I, II (Chicago, Ill., 1981), pp. 295-305, Wadsworth Math. Series, 1983.
A. Córdoba
Ann. Inst. Fourier (Grenoble) 32 (1982), no. 3, vii, 215-226.
Cinco teoremas del Análisis Armónico clásico
A. Córdoba
Mem. Rev. Acad. Cienc. Exact. Fís. Natur. Madrid 15 (1982).
Spherical summation: a problem of E.M. Stein
A. Córdoba, B. López Melero
Ann. Inst. Fourier (Grenoble) 31 (1981), no. 3, x, 147-152.
Análisis Armónico Geométrico
A. Córdoba
Real Acad. Ciencias, 1981.
Some remarks on the Littlewood-Paley theory
A. Córdoba
Rend. Circ. Mat. Palermo (2) 1981, suppl. 1, 75-80.
Translation invariant operators
A. Córdoba
Asoc. Mat. Española, Madrid, 1980.
Algunos problemas de Análisis Armónico
A. Córdoba
Publ. Sec. Mat. Univ. Autónoma Barcelona 21 (1980), 177-182.
Maximal functions: a problem of A. Zygmund
A. Córdoba
Lecture Notes in Math. 779 (1980), 154-161.
Multipliers of F (Lp )
A. Córdoba
Lecture Notes in Math. 779 (1980), 162-177.
A note on Bochner-Riesz operators
A. Córdoba
Duke Math. J. 46 (1979), no. 3, 505-511.
Maximal functions, covering lemmas and Fourier multipliers
A. Córdoba
Proc. Sympos. Pure Math. XXXV (1979), 29-50.
Maximal functions: a proof of a conjecture of A. Zygmund
A. Córdoba
Bull. Amer. Math. Soc. 1 (1979), no. 1, 255-257.
s x t x Φ(s, t)
A. Córdoba
Institut Mittag-Leffler 9 (1978).
Wave packets and Fourier integral operators
A. Córdoba
Publ. Math. Orsay 78 (1978).
Wave packets and Fourier integral operators
A. Córdoba, C.L. Fefferman
Comm. Partial Differential Equations 3 (1978), no. 11, 979-1005.
Análisis de Fourier y ecuaciones en derivadas parciales
A. Córdoba
Publicación de la A.M.E. Segovia, 1978.
The Kakeya maximal function and the spherical summation multipliers
A. Córdoba
American Journal of Mathematics 99 (1977), no. 1, 1-22.
Análisis de Fourier y Variable Compleja
A. Córdoba
Rev. Real Acad. Ci. Exact. Fís. Natur. Madrid 71 (1977), no. 3-4.
On differentiation of integrals
A. Córdoba, R. Fefferman
Proc. Nat. Acad. Sci. USA 74 (1977), no. 6, 2211-2213.
A. Córdoba, R. Fefferman
Proc. Nat. Acad. Sci. USA 74 (1977), no. 2, 423-425.
The multiplier problem for the polygon
A. Córdoba
Ann. of Math. (2) 105 (1977), no. 3, 581-588.
A weighted norm inequality for singular integrals
A. Córdoba, C.L. Fefferman
Studia Math. 57 (1976), no. 1, 95-100.
On the Vitali covering property of a differentiation basis
A. Córdoba
Studia Math. 57 (1976), no. 1, 91-95.
Bounded variation and differentiability of functions
A. Córdoba.
Collect. Math. 26 (1975), no. 3, 227-238.
A geometric proof of the strong maximal theorem
A. Córdoba, R. Fefferman
Ann. of Math. (2) 102 (1975), no. 1, 95-100.
A radial multiplier and a related Kakeya maximal function
A. Córdoba
Bull. Amer. Math. Soc. 81 (1975), 428-430.