Research interests

Harmonic analysis, orthogonal expansions, special functions, integral transforms, singular operatrors, spectral theory and mathematical physics.

You can read my curriculum vitae here.

Publications

  1. A. Arenas and Ó. Ciaurri, Fourier-Jacobi expansions in Morrey spaces, J. Math. Anal. Appl. 415 (2014), 302-313.

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  2. A. Arenas and Ó. Ciaurri, Safe domain for projectile trejectories in a medium with quadratic drag force, Math. Mech. Solids 21 (2016), 1061-1067.

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  3. A. Arenas, Ó. Ciaurri, and E. Labarga, Weighted inequalities for the Riesz potential on the sphere, Integral Transforms Spec. Funct. 27 (2016), 511-522.

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  4. A. Arenas, Ó. Ciaurri, and E. Labarga, A Hardy inequality for ultraspherical expansions with an application to the sphere, J. Fourier Anal. Appl. 24 (2018), 416-430.

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  5. A. Arenas, E. Labarga, and A. Nowak Exotic multiplicity functions and heat maximal operators in certain Dunkl settings, Integral Transforms Spec. Funct. 29 (2018), 771-793.

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In review

  • A. Arenas, Ó. Ciaurri, and E. Labarga, Discrete harmonic analysis associated with Jacobi expansions I: the heat semigroup, submitted.

Survey articles

  1. A. Arenas, Ó. Ciaurri, E. Labarga, L. Roncal and J.L. Varona, Series de Fourier no trigonométricas: una perspectiva familiar, Zubía monográfico 26, dedicado a la Investigación en el Departamento de Matemáticas y Computación de la Universidad de La Rioja, Instituto de Estudios Riojanos, Logroño, 2014, 39-54.