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Other IDs

ResearcherID: G-8175-2015
Scopus Author ID: 7103187524

Keywords

Functional Analysis, Asymptotic Convex Geometry

Countries

Spain

Activities

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Employment (1)

Universidad de Sevilla: Seville, Andalucía, ES

2000 to present | Profesor Titular de Universidad (Análisis Matemático)
Employment
Source: Self-asserted source
Rafael Villa

Works (25)

Some Remarks on Petty Projection of Log-concave Functions

Journal of Geometric Analysis
2023 | Journal article
DOI: 10.1007/S12220-023-01322-W
WOSUID: WOS:001000521200001
Contributors: da Silva, Leticia Alves; Merino, Bernardo Gonzalez; Villa, Rafael
Source: check_circle
Web of Science Researcher Profile Sync

Best approximation of functions by log-polynomials

Journal of Functional Analysis
2022-03 | Journal article
DOI: 10.1016/j.jfa.2021.109344
Contributors: David Alonso-Gutiérrez; Bernardo González Merino; Rafael Villa
Source: check_circle
Crossref
grade
Preferred source (of 3)‎

Best approximation of functions by log-polynomials

ArXiv
2021 | Journal article
WOSUID: PPRN:11838281
Contributors: Alonso-Gutierrez, David; Merino, Bernardo Gonzalez; Villa, Rafael
Source: check_circle
Web of Science Researcher Profile Sync

Stone-Weierstrass theorem for homogeneous polynomials and its role in convex geometry

arXiv
2020 | Other
EID:

2-s2.0-85100282017

Part of ISSN: 23318422
Contributors: Merino, B.G.; Villa, R.
Source: Self-asserted source
Rafael Villa via Scopus - Elsevier

Rogers–Shephard and local Loomis–Whitney type inequalities

Mathematische Annalen
2019 | Journal article
DOI: 10.1007/s00208-019-01834-3
EID:

2-s2.0-85065430274

Part of ISSN: 00255831
Contributors: Alonso-Gutiérrez, D.; Artstein-Avidan, S.; González Merino, B.; Jiménez, C.H.; Villa, R.
Source: Self-asserted source
Rafael Villa via Scopus - Elsevier
grade
Preferred source (of 2)‎

Some remarks on Petty projection of log-concave functions

arXiv
2019 | Other
EID:

2-s2.0-85094280632

Part of ISSN: 23318422
Contributors: Da Silva, L.A.; Merino, B.G.; Villa, R.
Source: Self-asserted source
Rafael Villa via Scopus - Elsevier

Some remarks on Petty projection of log-concave functions

ArXiv
2019 | Journal article
WOSUID: PPRN:50152197
Contributors: Silva, Leticia Alves da; Merino, Bernardo González; Villa, Rafael
Source: check_circle
Web of Science Researcher Profile Sync

John’s Ellipsoid and the Integral Ratio of a Log-Concave Function

Journal of Geometric Analysis
2018 | Journal article
DOI: 10.1007/s12220-017-9858-4
EID:

2-s2.0-85018704314

Part of ISSN: 10506926
Contributors: Alonso-Gutiérrez, D.; Merino, B.G.; Jiménez, C.H.; Villa, R.
Source: Self-asserted source
Rafael Villa via Scopus - Elsevier
grade
Preferred source (of 2)‎

Rogers-Shephard and local Loomis-Whitney type inequalities

ArXiv
2017 | Journal article
WOSUID: PPRN:50369375
Contributors: Alonso-Gutiérrez, David; Artstein-Avidan, Shiri; Merino, Bernardo González; Hugo Jiménez, C.; Villa, Rafael
Source: check_circle
Web of Science Researcher Profile Sync

Rogers-Shephard inequality for log-concave functions

Journal of Functional Analysis
2016 | Journal article
DOI: 10.1016/j.jfa.2016.09.005
WOSUID:

WOS:000386418400007
Contributors: Alonso-Gutierrez, D.; Merino, B. G.; Jimenez, C. H.; Villa, R.
Source: Self-asserted source
Rafael Villa via ResearcherID
grade
Preferred source (of 3)‎

John's ellipsoid and the integral ratio of a log-concave function

ArXiv
2015 | Journal article
WOSUID: PPRN:50293062
Contributors: Alonso-Gutiérrez, David; Merino, Bernardo González; Jiménez, Carlos Hugo; Villa, Rafael
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Web of Science Researcher Profile Sync

Push forward measures and concentration phenomena

Mathematische Nachrichten
2014 | Journal article
DOI: 10.1002/mana.201300011
WOSUID:

WOS:000333700800008
Contributors: Jimenez, C. H.; Naszodi, M.; Villa, R.
Source: Self-asserted source
Rafael Villa via ResearcherID
grade
Preferred source (of 3)‎

Brunn-Minkowski and Zhang inequalities for convolution bodies

Advances in Mathematics
2013 | Journal article
DOI: 10.1016/j.aim.2013.01.013
WOSUID:

WOS:000317089200003
Contributors: Alonso-Gutierrez, D.; Jimenez, C. H.; Villa, R.
Source: Self-asserted source
Rafael Villa via ResearcherID
grade
Preferred source (of 3)‎

Brunn-Minkowski and Zhang inequalities for Convolution Bodies

ArXiv
2013 | Journal article
WOSUID: PPRN:11491705
Contributors: Alonso-Gutierrez, David; Hugo Jimenez, C.; Villa, Rafael
Source: check_circle
Web of Science Researcher Profile Sync

Maximal Equilateral Sets

Discrete & Computational Geometry
2013 | Journal article
DOI: 10.1007/s00454-013-9523-z
WOSUID:

WOS:000323105900004
Contributors: Swanepoel, K. J.; Villa, R.
Source: Self-asserted source
Rafael Villa via ResearcherID
grade
Preferred source (of 3)‎

Push forward measures and concentration phenomena

ArXiv
2011 | Journal article
WOSUID: PPRN:49549885
Contributors: Hugo JimÉnez, C.; NaszÓdi, MÁrton; Villa, Rafael
Source: check_circle
Web of Science Researcher Profile Sync

A lower bound for the equilateral number of normed spaces

Proceedings of the American Mathematical Society
2008 | Journal article
DOI: 10.1090/s0002-9939-07-08916-2
WOSUID:

WOS:000251536600016
Contributors: Swanepoel, K. J.; Villa-Caro, R.
Source: Self-asserted source
Rafael Villa via ResearcherID
grade
Preferred source (of 3)‎

An application of mixture distributions in modelization of length of hospital stay

Statistics in Medicine
2008 | Journal article
DOI: 10.1002/sim.3029
WOSUID:

WOS:000255885700005
Contributors: Atienza, N.; Garcia-Heras, J.; Munoz-Pichardo, J. M.; Villa-Caro, R.
Source: Self-asserted source
Rafael Villa via ResearcherID
grade
Preferred source (of 3)‎

On the consistency of MLE in finite mixture models of exponential families

Journal of Statistical Planning and Inference
2007 | Journal article
DOI: 10.1016/j.jspi.2005.12.014
WOSUID:

WOS:000241544000010
Contributors: Atienza, N.; Garcia-Heras, J.; Munoz-Pichardo, J. M.; Villa-Caro, R.
Source: Self-asserted source
Rafael Villa via ResearcherID
grade
Preferred source (of 3)‎

A lower bound for the equilateral number of normed spaces

ArXiv
2006 | Journal article
WOSUID: PPRN:22657824
Contributors: J Swanepoel, Konrad; Villa, Rafael
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Web of Science Researcher Profile Sync

Maximum average distance in complex finite dimensional normed spaces

Bulletin of the Australian Mathematical Society
2002 | Journal article
DOI: 10.1017/s0004972700020748
EID:

2-s2.0-0036687210

Part of ISSN: 00049727
Contributors: García-Vázquez, J.C.; Villa, R.
Source: Self-asserted source
Rafael Villa via Scopus - Elsevier
grade
Preferred source (of 2)‎

The average distance property of the spaces l(infinity)(n)(C) and l(1)(n)(C)

Archiv Der Mathematik
2001 | Journal article
DOI: 10.1007/s000130050563
WOSUID:

WOS:000167989100008
Contributors: Garcia-Vazquez, J. C.; Villa-Caro, R.
Source: Self-asserted source
Rafael Villa via ResearcherID
grade
Preferred source (of 3)‎

Lower bounds for multilinear forms defined on Hilbert spaces

Mathematika
1999 | Journal article
DOI: 10.1112/s0025579300007774
EID:

2-s2.0-0039446027

Part of ISSN: 00255793
Contributors: García-Vázquez, J.C.; Villa, R.
Source: Self-asserted source
Rafael Villa via Scopus - Elsevier
grade
Preferred source (of 2)‎

Concentration of the distance in finite dimensional normed spaces

Mathematika
1998 | Journal article
DOI: 10.1112/s0025579300014182
EID:

2-s2.0-0041777799

Part of ISSN: 00255793
Contributors: Arias-De-Reyna, J.; Ball, K.M.; Villa, R.
Source: Self-asserted source
Rafael Villa via Scopus - Elsevier
grade
Preferred source (of 2)‎

Isometric embedding into spaces of continuous functions

Studia Mathematica
1998 | Journal article
DOI: 10.4064/sm-129-3-197-205
EID:

2-s2.0-0032432935

Part of ISSN: 00393223
Contributors: Villa, R.
Source: Self-asserted source
Rafael Villa via Scopus - Elsevier
grade
Preferred source (of 2)‎

Peer review (8 reviews for 7 publications/grants)

Review activity for Annals of functional analysis. (1)
Review activity for Discrete & computational geometry. (1)
Review activity for Discrete and computational geometry. (1)
Review activity for Journal of functional analysis. (1)
Review activity for Journal of geometric analysis. (1)
Review activity for Quaestiones mathematicae. (2)
Review activity for The Journal of geometric analysis. (1)
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