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GUSTAVO GARRIGÓS

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RESEARCH HOMEPAGE

LIST OF PAPERS, PREPRINTS, SURVEYS...

• Current preprints
• 2009
• “Analytic Besov spaces and Hardy-type inequalities in tube domains over symmetric cones”, with D. Békollé, A. Bonami, F. Ricci and B. Sehba. To appear in J. Reine Angew. Math.
• “A note on maximal operators associated with Hankel multipliers”, w/ A. Seeger. Submitted.
• “Möbius invariance of analytic Besov spaces in tube domains over symmetric cones”. To appear in Colloq. Math.
• “A mixed norm variant of Wolff’s inequality for paraboloids”, w/ A. Seeger. To appear in Contemporary Mathematics , “Proceedings of the 8^th International Conference in Harmonic Analysis and PDEs”, El Escorial 2008.
• “On plate decompositions of cone multipliers", w/ A. Seeger. To appear in Proc. Edin. Math. Soc. 52 (3) (2009), 631-651.

• 2008
• “Characterizations of Hankel multipliers”, with Andreas Seeger. Math. Annalen 342 (1) (2008), 31-68.
• “Wavelets, Orlicz spaces and greedy bases”, w/ E. Hernández and J.M. Martell. Appl. Comput. Harm. Anal. 24 (1) (2008), 70-93.
• 2007
• “Discrete radar ambiguity problems",  w/ A. Bonami and Ph. Jaming. Appl. Comput. Harm. Anal. 23 (3) (2007), 388-414.
• “A sharp weighted transplantation theorem for Laguerre function expansions”, w/ E. Harboure, T. Signes, J.L. Torrea and B. Viviani. Jour. Funct. Anal. 244 (2007), 247-276.
• 2006
• "Weighted inequalities and a.e. convergence for Poisson integrals in light-cones", w/ E. Damek, E. Harboure, J.L. Torrea. Math. Annalen 336 (3), 2006, 727-746.
• “Further results on connectivity of Parseval frame wavelets”, w/ E. Hernández, H. Sikic, F. Soria. Proc. AMS 134 (2006) 3211-3221.
• 2005
• “A note on plate decompositions of cone multipliers", w/ A. Seeger. Hokkaido Univ. Report Series 103, Dec. 2005. Proceedings of “Harmonic Analysis and Applications at Sapporo, 2005”, pp. 13-28.
• "BMO spaces related to Schrodinger operators with potentials satisfying a reverse Holder inequality", w/ J. Dziubanski, T. Martínez, J.L. Torrea, J. Zienkiewicz. Math. Z. 249, 329-356 (2005).
• 2004
• "Littlewood-Paley decompositions and Bergman projectors related to symmetric cones", w/  D. Békollé, A. Bonami and F. Ricci. Proc. London Math. Soc. 89 (2004), pp. 317-360.
• "Sharp Jackson and Bernstein inequalities for N-term approximation in sequence spaces with applications", w/ E. Hernández. (PDF). Indiana Univ. Math. J. 53 (6) (2004), 1741-1764.
• "Wavelet characterizations for anisotropic Besov spaces with 0<p<1" , w/ R. Hochmuth and A. Tabacco. Proc. Edin. Math. Soc. 47 (2004), pp. 573-595.
• "Biorthogonal wavelets, MRA´s and shift-invariant spaces", w/ M. Bownik. Studia Math. 160 (3), (2004), 231-248.
• "Lecture notes on Bergman projectors in tube domains over ones: an analytic and geometric viewpoint", w/  D. Békollé, A. Bonami, C. Nana, Marco Peloso and F. Ricci. Preprint 2002. (Lecture notes) IMHOTEP 5 (2004).
• "Wavelet methods in image compression". (Survey talk). IMHOTEP 5 (2004).
• "Wavelet approximation methods in image and signal compression". w/ E. Hernández. (Survey talk) Rev. Un. Mat. Argentina 45 (1), (2004), 25-41.
• 2003
• "Connectivity in the set of tight frame wavelets (TFW)", w/ E. Hernández, H. Sikic, F. Soria, G. Weiss and E. Wilson. Glasnik Mat. 38 (2003), 75-98.
• 2002
• "Poisson-like kernels in tube domains over light-cones". Rend. Mat. Acc. Lincei. s. 9, v. 13, 2002, pp. 111-123.
• "Wavelet decompositions of anisotropic Besov spaces", w/ A. Tabacco. Math. Nachr. 239-240 (2002), 80-102.
• 2001
• "A characterization of wavelet families arising from biorthogonal MRA's of multiplicity d", w/ A. Calogero. J. Geom. Anal. 11 (2),  1-38 (2001).
• "Generalized Hardy spaces on tube domains over cones". Colloq. Math. 90 (2), 2001, pp. 213--251.
• 2000
• "Littlewood-Paley decompositions related to symmetric cones", w/ A. Bonami & D. Békollé. IMHOTEP 3 (1), 2000, pp. 11-41.
• "Zéros de fonctions holomorphes et contre-exemples en théorie des radars",  w/ Ph. Jaming & J.B. Poly. Actes des Rencontres d´Analyse Complexe, Poitiers 1999. Éd. Atlantique et ESA CNRS 6086 (2000), pp. 81-104.
• "Completeness in the set of wavelets", w/ D. Speegle. Proc. AMS 128 (14) 2000, 1157-1166. (e-site AMS).
• 1999
• "The behaviour at the origin of a class of band-limited wavelets", w/ L. Brandolini, Z. Rzeszotnik and G. Weiss.  Contemporary Mathematics 247, 1999, pp. 75-91.
• "Connectivity, homotopy degree, and other properties of \alpha-localized wavelets on R" . Publicacións Matemàtiques 43 (1) 1999, 303-340.
• 1998
• "Basic properties of wavelets", by the WUTAM Consortium. J. Fourier Anal. Appl. 4 (4,5), 1998, pp. 575-594.
• "The characterization of wavelets and related functions", w/ M. Frazier, K. Wang & G. Weiss.  J. Fourier Anal. Appl., Vol. 3 (Special Issue), 1997, pp. 883-906.
• Ph. D. Thesis : "The characterization of wavelets and related functions and the connectivity of a-localized wavelets in R" (ps.gz file) . (DVI file) . May 1998, Washington University .

Some of the files are compressed: TO DOWNLOAD AND PRINT (in UNIX)

1.- Download the file with name: filename.ps.gz

2.- Uncompress the file: gunzip filename.ps.gz

 3.- View the postscript file with: ghostview filename.ps

 4.- Print with: dvips -P printername filename.ps

 5.- For DVI files, print with: dvips filename.dvi 

For further questions:

E-mail:	gustavo ‘dot` garrigos uam ´dot’ es
Fax:	(34) 91-497-4889
Phone:	(34) 91-497-7637

CURRENT  POSTAL  ADDRESS

Gustavo Garrigós

Universidad Autónoma de Madrid

Departamento de Matemáticas C-XV

Ciudad Universitaria Cantoblanco

28049 Madrid,  SPAIN

Updated: Sept/24/2009