PUBLICATIONS

BOOKS EDITED

Delgado J., Ruzhansky M. (Eds.) Analysis and Partial Differential Equations: Perspectives from Developing Countries, Springer Proceedings in Mathematics & Statistics, Vol. 275, Springer, 2019. xii+269pp link, Doi.
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About this book:


This volume presents current trends in analysis and partial differential equations from researchers in developing countries. The fruit of the project 'Analysis in Developing Countries', whose aim was to bring together researchers from around the world, the volume also includes some contributions from researchers from developed countries.

Focusing on topics in analysis related to partial differential equations, this volume contains selected contributions from the activities of the project at Imperial College London, namely the conference on Analysis and Partial Differential Equations held in September 2016 and the subsequent Official Development Assistance Week held in November 2016. Topics represented include Fourier analysis, pseudo-differential operators, integral equations, as well as related topics from numerical analysis and bifurcation theory, and the countries represented range from Burkina Faso and Ghana to Armenia, Kyrgyzstan and Tajikistan, including contributions from Brazil, Colombia and Cuba, as well as India and China.

BOOKS

J. Delgado and M. Ruzhansky. An Introduction to the Weyl-Hörmander Calculus. In Preparation for the series Springer Universitext.

PUBLICATIONS

  1. J. Delgado and M. Ruzhansky. Schatten-von Neumann classes of Integral operators. Submitted. Arxiv

  2. M. Chatzakou, J. Delgado and M. Ruzhansky. On a class of anharmonic oscillators. to appear in Journal des Mathématiques Pures et Appliquées. Arxiv

  3. D. Cardona, J. Delgado and M. Ruzhansky. Lp boundedness for pseudo-differential operators on graded Lie groups, to appear in Journal of Geometric Analysis. Arxiv

  4. J. Delgado and A. Muñoz Tello. On the set of Gateaux differentiability of the L1 norm. Submitted.

  5. J. Delgado. A note on the Poincare determinant. Submitted.

  6. D. Cardona, J. Delgado and M. Ruzhansky. Traces and determinants on Compact Lie groups. Submitted.

  7. J. Delgado. On the positivity of the Fourier transform. Submitted.

  8. R. Daher, J. Delgado and M. Ruzhansky Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds, Monatsh. Math. 89, no. 1, 23-49 , 2019.

  9. J. Delgado. On the well-posedness of the Cauchy problem for a class of Degenerate parabolic equations , Integral Equations Operator Theory, 90, no. 1, Art. 3, 19 pp., 2018. Open Access

  10. J. Delgado and M. Ruzhansky. Schatten classes and trace formula on compact groups, Mathematical Research Letters, 24, no. 4, 979-1003, 2017. link

  11. J. Delgado and M. Ruzhansky. Fourier multipliers, Symbols and Nuclearity on compact manifolds, Journal d'Analyse Mathématique. 135, no. 2, 757-800, 2018. Open Access

  12. J. Delgado and M. Ruzhansky. Approximation property and nuclearity on variable exponent Lebesgue spaces, Math. Scand., 122, no. 2, 299319, 2018.

  13. J. Delgado, M. Ruzhansky and N. Tokmagambetov. Schatten classes and Nuclearity of Boundary Value Problems, J. Math. Pures Appl. (9) 107, no. 6, 758783, 2017. Open Access

  14. J. Delgado and M. Ruzhansky Lp bounds for pseudo-differential operators on compact Lie groups, J. Inst. Math. Jussieu, 18, no. 3, 531-559, 2019. Open Access

  15. Delgado J., Ruzhansky M., Fourier multipliers in Hilbert spaces, in Integral Fourier Operators: Proceedings of a Summer School, Ouagadougou 14–25 September 2015 / Sylvie Paycha; Pierre Clavier (eds.). – Potsdam: Universitätsverlag Potsdam, 2018 link

  16. J. Delgado. On the Cauchy problem for a class of Degenerate hyperbolic equations in Weyl-Hörmander calculus. J. Math. Analysis and Applications, 436, No. 1, Pages 339-354, 2016.

  17. J. Delgado, M. Ruzhansky and B. Wang Approximation property and nuclearity on mixed-norm LP , modulation and Wiener amalgam spaces, Journal of London Mathematical Society. 94 (2) : Pages 391408, 2016. Open Access

  18. J. Delgado, M. Ruzhansky and B.Wang Grothendieck-Lidskii trace formula for mixed-norm an variable Lebesgue spaces, J. Spectral. Theory. 6(4) :781-791, 2016

  19. J. Delgado. A class of invertible subelliptic operators in S(m; g)-calculus, Results in Mathematics. 67, No. 33, Pages 431-444, 2015.

  20. J. Delgado and M. Ruzhansky Kernel and symbol criteria for Schatten classes and r-nuclearity on compact manifolds, Comptes Rendus Mathematiques. Ser. I, 352, 779-784, 2014. Open Access

  21. J. Delgado Lp bounds in S(m; g)-calculus, Complex Var. Elliptic Equ. 61, no. 3, Pages 315-337, 2016.

  22. . J. Delgado and M. Ruzhansky. Schatten classes on compact manifolds : Kernel conditions, Journal of Functional Analysis. 267, no. 3, Pages 772-798, 2014. Open Access

  23. J. Delgado On the r-nuclearity of some integral operators on Lebesgue spaces, Tohoku Mathematical Journal. 67, no. 1, Pages 125-135, 2015.

  24. . J. Delgado and M. Ruzhansky Lp-Nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups, Journal des Mathématiques Pures et Appliquées. (9) 102, no. 1, 153-172, 2014. Open Access

  25. J. Delgado and M. W. Wong Lp􀀀Nuclear pseudodierential operators on Z and S1, Proc. Amer. Math. Soc. Volume 141, Number 11, Pages 3935-3942, 2013.

  26. J. Delgado Lp bounds for pseudodifferential operators on the torus, Operator Theory, Advances and Applications, vol. 231, p. 103-116, 2013.

  27. J. Delgado Trace formulas for nuclear operators in spaces of Bochner integrable functions, Monatshefte für Mathematik. Volume 172, Issue 3, Pages 259275, 2013

  28. J. Delgado Sobolev embeddings for a class of pseudodifferential operators. Journal of Pseudo-Differential Operators and Applications. Volume 2, Num 3, p. 399-417 2011.

  29. J. Delgado Lp bounds for a class of fractional powers of subelliptic operators,Pseudo-Dierential Operators : Complex Analysis and Partial Differential Equations. Operator Theory, Advances and Applications. Rodino, L, Wong M.W (Eds). vol. 213, p.137-154, 2011.

  30. J. Delgado The trace of nuclear operators on Lp for sigma-finite Borel measure on second countable spaces, Integral Equations and Operator Theory, 68, p. 61-74, 2010.

  31. J. Delgado and Alex M. Zamudio. Invertibility for a Class of Degenerate Elliptic Operators. Journal of Pseudo- Differential Operators and Applications. Vol 1, Num 2 ; p. 207-231, 2010.

  32. J. Delgado A trace for nuclear operators on Lp. Operator Theory, Advances and Applications, vol. 205, p. 181-193, 2009.

  33. J. Delgado Estimations Lp pour une classe d'opérateurs pseudo-differentiels dans le cadre du calcul de Weyl-Hörmander. Journal d'Analyse Mathématique. Vol. 100, p. 337-374, 2006.


SOME PAPERS IN PROGRESS

  1. M. Chatzakou, D. Cardona, J. Delgado and M. Ruzhansky. Lp bounds for a class of Degenerate anharmonic oscillators

  2. D. Cardona, J. Delgado and M. Ruzhansky. Poincare determinant on compact Lie groups

  3. J. Delgado and M. Ruzhansky. Trace and Partial trace formulas on Hilbert tensor products

  4. J. Delgado. Fractional diffusion on the torus.

  5. Electrical Impedance tomography and singular values

  6. A note on the L2 boundedness of the Cauchy Integral

  7. J. Delgado and J.R. Quintero. A Note on Carleman estimates for pseudodifferential operators

  8. Regularity for infinitely degenerate elliptic equations