My Research interests include asymptotic expansions, integral transformations, and summability of formal power series, mainly applied to the study of functional equations in the complex domain: differential, q-difference, moment-differential equations, etc. Also interested in symbolic computation, orthogonal polynomials and special functions, together with their applications.
ORCID: 0000-0002-4012-6471
Web of Science ResearcherID H-7180-2015
MathSciNet
zbMATH
Linkedin
Books
A. Lastra, Parametric geometry of curves and surfaces. Architectural form-finding
Mathematics and the Built Environment 5. Cham: Springer. ISBN 978-3-030-81316-1/hbk; 978-3-030-81317-8/ebook. xxiii, 276 p. (2021).
A. Deaño, A. Lastra, Funciones especiales y matrices aleatorias. Nuevas tendencias en análisis asintótico complejo con aplicaciones en ecuaciones funcionales
Editorial Universidad de Alcalá. ISBN 978-84-18979-80-4, 142 p. (2022).
Publications
A. Lastra, P. Remy, M. Suwińska, Formal solutions of some family of inhomogeneous nonlinear partial differential equations. II: Summability. Physica D. 470, Part A, Article ID 134420 (2024). https://doi.org/10.1016/j.physd.2024.134420
S. A. Carrillo, A. Lastra, q-Nagumo norms and formal solutions to singularly perturbed q-difference equations. Math. Ann. (2024). https://doi.org/10.1007/s00208-024-03007-3
A. Lastra, S. Malek, Gevrey versus q-Gevrey asymptotic expansions for some linear q-difference-differential Cauchy problem, Results Math 79, 219 (2024). https://doi.org/10.1007/s00025-024-02250-z
E. J. Huertas, A. Lastra, A. Soria-Lorente, et al. On zero behavior of higher-order Sobolev-type discrete Hermite I orthogonal polynomials. Numer. Algor. (2024) https://doi.org/10.1007/s11075-024-01868-y
A. Lastra, S. Michalik, On sequences preserving q-Gevrey asymptotic expansions. Anal. Math. Phys. 14, 17 (2024) https://doi.org/10.1007/s13324-024-00874-6
A. Lastra, P. Remy, Meromorphic solutions of q-difference equations, J. Math. Anal. Appl. 532, Issue 1 (2024) https://doi.org/10.1016/j.jmaa.2023.127939
A. Lastra, S. Malek, On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equations. Math. Ann 390, No. 1, 1077-1124 (2024). https://doi.org/10.1007/s00208-023-02780-x
J. Jiménez-Garrido, A. Lastra, J. Sanz, Extension operators for some ultraholomorphic classes defined by sequences of rapid growth, Constr Approx. 60, No. 2, 285-307 (2024). https://doi.org/10.1007/s00365-023-09663-z
A. Lastra, Entire solutions of linear systems of moment differential equations and related asymptotic growth at infinity, Differ. Equ. Dyn. Syst. 32, No. 4, 943-964 (2024). https://doi.org/10.1007/s12591-022-00601
A. Lastra, C. Prisuelos-Arribas, Solutions of linear systems of moment differential equations via generalized matrix exponentials, J. Differential Equations 372, 591-611 (2023) https://doi.org/10.1016/j.jde.2023.07.012
A. Lastra, J. R. Sendra, J. Sendra, Symbolic Treatment of Trigonometric Parametrizations: the general unirational case and applications, Commun. Math. Stat. (2023). https://doi.org/10.1007/s40304-023-00334-w
A. Lastra, S. Michalik, M. Suwinska, Multisummability of formal solutions for a family of generalized singularly perturbed moment differential equations, Results Math 78, 49 (2023). https://doi.org/10.1007/s00025-022-01828-9
C. Hermoso, E. J. Huertas, A. Lastra, F. Marcellán, Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations. Numer. Algor. 92, 665–692 (2023). https://doi.org/10.1007/s11075-022-01402-y
S. A. Carrillo, A. Lastra, Formal Gevrey solutions: in analytic germs – for higher order holomorphic PDEs, Math. Ann. 386, 85–112 (2023) https://doi.org/10.1007/s00208-022-02393-w
E. Diez-Jimenez et al., Multilayered microcoils for microactuators and characterization of their operational limits in body-like environments, in IEEE/ASME Transactions on Mechatronics, vol. 28, no. 3, pp. 1789-1794, June 2023. 10.1109/TMECH.2022.3215233
A. Lastra, J. Sanz, J. R. Sendra, On the summability of a class of formal power series, Math. Inequal. Appl., Vol. 25, N. 4 (2022), 1101-1121. dx.doi.org/10.7153/mia-2022-25-68
E. J. Huertas, A. Lastra, A. Soria-Lorente, Watermarking applications of Krawtchouk–Sobolev type orthogonal moments, Electronics (2022), 11(3), 500. https://doi.org/10.3390/electronics11030500
A. Lastra, Architectural form-finding through parametric geometry, Nexus Netw J, 24, 271–277 (2022). https://doi.org/10.1007/s00004-021-00579-4
G. Chen, A. Lastra, S. Malek, Some notes on the parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms; in: G. Filipuk, A. Lastra, et al. Formal and analytic solutions of differential equations, World Scientific (2022), 363-378. doi:10.1142/9781800611368_0017
R. Gontsov, I. Goryuchkina, A. Lastra, On the convergence of generalized power series solutions of q-difference equations, Aequat. Math. 96 (2022) 579–597. https://doi.org/10.1007/s00010-021-00817-7
A. Lastra, S. Michalik, M. Suwinska, Summability of formal solutions for a family of generalized moment integro-differential equations, Fract. Calc. Appl. Anal. 24 (2021) 1445-1476. https://doi.org/10.1515/fca-2021-0061
G. Chen, A. Lastra, S. Malek, On Gevrey asymptotics for linear singularly perturbed equations with linear fractional transforms, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM. 115 (2021), no. 3, Paper No. 121, 38 pp. https://doi.org/10.1007/s13398-021-01064-w
M. Martínez, G. García-Rosales, E. Castaño, A. Lastra, Influence of G. Kazinczy in the structural analysis of long cylindrical roof shells, Practice Periodical on Structural Design and Construction, 27 (1) (2021) 1-10. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000627
P. S. Stanimirovic, M. Ciric, A. Lastra, J. R. Sendra, J. Sendra, Representations and geometrical properties of generalized inverses over fields, Linear Multilinear Algebra, 2021. https://doi.org/10.1080/03081087.2021.1985420
P. S. Stanimirovic, J. R. Sendra, R. Behera, J. K. Sahoo, D. Mosic, J. Sendra, A. Lastra, Computing tensor generalized inverses via specialization and rationalization, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM. 115 (2021), no. 3, Paper No. 116, 26 pp. https://doi.org/10.1515/fca-2021-0061
P. Stanimirovic, M. Ciric, A. Lastra, J. R. Sendra, J. Sendra, Representations and symbolic computation of generalized inverses over fields, Appl. Math. Comput. 406 (2021), Paper No. 126287, 19 pp. https://doi.org/10.1016/j.amc.2021.126287
A. Lastra, S. Michalik, M. Suwinska, Estimates of formal solutions for some generalized moment partial differential equations, J. Math. Anal. Appl. 500 (2021), no. 1, Paper No. 125094, 18 pp. https://doi.org/10.1016/j.jmaa.2021.125094
G. Filipuk, A. Lastra, On the solutions of Okubo-type systems, J. Math. 2021, Art. ID 6690201, 5 pp. https://doi.org/10.1155/2021/6690201
A. Lastra, S. Michalik, M. Suwinska, Summability of formal solutions for some generalized moment partial differential equations, Result. Math. 76, No. 1, Paper No. 22, 27 p. (2021). https://doi.org/10.1007/s00025-020-01324-y
C. Hermoso, E. J. Huertas, A. Lastra, A. Soria-Lorente, On Second Order q-Difference Equations Satisfied by Al-Salam–Carlitz I-Sobolev Type Polynomials of Higher Order, Mathematics, 8 (8), (2020), 1300. https://doi.org/10.3390/math8081300
G. Chen, A. Lastra, S. Malek, Parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms, Adv. Differ. Equ. 2020, 307 (2020). https://doi.org/10.1186/s13662-020-02773-z
A. Lastra, M. de Miguel, Geometry of curves and surfaces in contemporary chair design, Nexus Netw J 22, 643–657 (2020). https://doi.org/10.1007/s00004-020-00477-1
A. Lastra, S. Malek, Boundary layer expansions for initial value problems with two complex time variables, Adv. Differ. Equ. 2020, 20 (2020). https://doi.org/10.1186/s13662-020-2496-3
A. Lastra, S. Malek, On parametric Gevrey asymptotics for some nonlinear initial value problems in symmetric complex time variables, Asymptotic Anal. 118, No. 1–2, 49–79 (2020). 10.3233/ASY-191568
A. Lastra, S. Malek, On singularly perturbed linear initial value problems with mixed irregular and Fuchsian time singularities. J. Geom. Anal. 30, 3872-3922 (2020). https://doi.org/10.1007/s12220-019-00221-3
A.Lastra, H. Tahara, Maillet type theorem for nonlinear totally characteristic partial differential equations, Math. Ann. 377, No. 3-4, 1603-1641 (2020). 10.1007/s00208-019-01864-x
M. Martínez-Muñoz, E. Diez-Jiménez, G. Villalba, M. Michalowski, A. Lastra, Geometrical dependence in fixtures for 2D multipole micromagnets magnetization pattering. Appl. Comput. Electromagn. Soc. J. Jul2019, Vol. 34 Issue 7, 1092-1101.
T. Dreyfus, A. Lastra, S. Malek, On the multiple-scale analysis for some linear partial q-difference and differential equations with holomorphic coefficients, Adv. Differ. Equ. 2019, Paper No. 326, 42 pp. https://doi.org/10.1186/s13662-019-2263-5
A. Lastra, S. Malek, On a q-analog of a singularly perturbed problem of irregular type with two complex time variables, Mathematics 2019, 7(10), 924. https://doi.org/10.3390/math7100924
J. Jiménez-Garrido, S. Kamimoto, A. Lastra, J. Sanz, Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders. J. Math. Anal. Appl. 472 (2019), no. 1, 627-686. https://doi.org/10.1016/j.jmaa.2018.11.043
A. Lastra, S. Malek, Parametric Borel summability for linear singularly perturbed Cauchy problems with linear fractional transforms, Electron. J. Differential Equations 2019, Paper No. 55, 75 pp.
A. Lastra, S. Malek, Multiscale Gevrey asymptotics in boundary layer expansions for some initial value problem with merging turning points, Adv. Differential Equations, Volume 24, Number 1/2 (2019), 69-136.
A. Lastra, S. Malek, Some notes on the parametric Borel summability for linear singularly perturbed Cauchy problems with linear fractional transforms; in: G. Filipuk, A. Lastra, et al. Complex Differential and Difference Equations: Proceedings of the School and Conference held at Bedlewo, Poland, September 2-15, 2018, De Gruyter (2019), 435-446.
A. Lastra, S. Malek, On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms. Adv. Differ. Equ. 2018, 386 (2018). https://doi.org/10.1186/s13662-018-1847-9
A. Lastra, S.Malek, On parametric Gevrey asymptotics for some initial value problems in two asymmetric complex time variables, Results Math. 73 (2018), no. 4, Art. 155, 46 pp. https://doi.org/10.1007/s00025-018-0914-6
A. Lastra, S. Malek, Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity, Electron. J. Differ. Equ., Vol. 2018 (2018), No. 46, pp. 1-89.
C. Hermoso, E. J. Huertas, A. Lastra, Determinantal form for ladder operators in a problem concerning a convex linear combination of discrete and continuous measures, en G. Filipuk et al. (eds.), Formal and Analytic Solutions of Diff. Equations. Springer Proceedings in Mathematics & Statistics 256, 263-274. https://doi.org/10.1007/978-3-319-99148-1_16
G. Grasegger, A. Lastra, J. R. Sendra, F. Winkler, Rational general solutions of systems of first-order algebraic partial differential equations, J. Comput. Appl. Math. 331 (2018), 88-103. https://doi.org/10.1016/j.cam.2017.10.010
A. Lastra, S. Malek, On multiscale Gevrey and q-Gevrey asymptotics for some linear q-difference-differential initial value Cauchy problems, J. Difference Equ. Appl. 23 (2017), no. 8, 1397-1457. https://doi.org/10.1080/10236198.2017.1337104
A. Lastra, S. Malek, Some notes on the multi-level Gevrey solutions of singularly perturbed linear partial differential equations, in: Filipuk G., Haraoka Y., Michalik S. (eds) Analytic, Algebraic and Geometric Aspects of Differential Equations, 415–427. Trends in Mathematics, Birkhäuser, 2017. ISBN 978-3-319-52842-7. https://doi.org/10.1007/978-3-319-52842-7_13
A. Lastra, S. Malek, Some notes on parametric multilevel q-Gevrey asymptotics for some linear q-difference-differential equations, RIMS Koukyuuroku, (ISSN 1880-2818), No. 2020, 2017, pp. 50-61.
A. Lastra, S. Malek, J. Sanz, Strongly regular multi-level solutions of singularly perturbed linear partial differential equations. Results Math. 70 (2016), no. 3-4, 581-614. https://doi.org/10.1007/s00025-015-0493-8
A. Lastra, S. Malek, Multi-level Gevrey solutions of singularly perturbed linear partial differential equations, Adv. Differential Equations 21 (2016), no. 7-8, 767-800.
G. Grasegger, A. Lastra, J. R. Sendra, F. Winkler, A solution method for autonomous first-order algebraic partial differential equations. J. Comput. Appl. Math. 300 (2016), 119-133. https://doi.org/10.1016/j.cam.2015.12.030
A. Lastra, S. Malek, On parametric multilevel q-Gevrey asymptotics for some linear q-difference-differential equations. Adv. Difference Equ. 2015, 2015:344. https://doi.org/10.1186/s13662-015-0678-1
A. Lastra, S. Malek, On parametric Gevrey asymptotics for some nonlinear initial value Cauchy problems. J. Differential Equations 259 (2015), no. 10, 5220-5270. https://doi.org/10.1016/j.jde.2015.06.020
A. Lastra, S. Malek, On parametric multisummable formal solutions to some nonlinear initial value Cauchy problems. Adv. Difference Equ. 2015, 2015:200, 78 pp. https://doi.org/10.1186/s13662-015-0541-4
A. Lastra, S. Malek, J. Sanz, Summability in general Carleman ultraholomorphic classes. J. Math. Anal. Appl. 430 (2015), no. 2, 1175-1206. https://doi.org/10.1016/j.jmaa.2015.05.046
A. Lastra, J. R. Sendra, C. L. X. Ngô, F. Winkler, Rational general solutions of systems of autonomous ordinary differential equations of algebro-geometric dimension one. Publ. Math. Debrecen 86 (2015), no. 1-2, 49-69. https://publi.math.unideb.hu/load_pdf.php?p=1921
A. Lastra, S. Malek, On parametric Gevrey asymptotics for some Cauchy problems in quasiperiodic function spaces. Abstr. Appl. Anal. 2014, Art. ID 153169, 29 pp. https://doi.org/10.1155/2014/153169
G. Grasegger, A. Lastra, J. R. Sendra, F. Winkler, On symbolic solutions of algebraic partial differential equations, In: Gerdt V.P., Koepf W., Seiler W.M., Vorozhtsov E.V. (eds) Computer Algebra in Scientific Computing. CASC 2014. Lecture Notes in Computer Science, vol 8660. Springer, Cham. (2014) 111-120. https://doi.org/10.1007/978-3-319-10515-4_9
A. Lastra, S. Malek, On parametric Gevrey asymptotics for singularly perturbed partial differential equations with delays. Abstr. Appl. Anal. 2013, Art. ID 723040, 18 pp. https://www.hindawi.com/journals/aaa/2013/723040/
A. Lastra, S. Malek, C. Stenger, On complex singularity analysis for some linear partial differential equations in C^3. Abstr. Appl. Anal. 2013, Art. ID 394564, 30 pp. https://www.hindawi.com/journals/aaa/2013/394564/
A. Lastra, S. Malek, J. Sanz, On Gevrey solutions of threefold singular nonlinear partial differential equations. J. Differential Equations 255 (2013), no. 10, 3205-3232. https://doi.org/10.1016/j.jde.2013.07.031
J.J. Fernández-Valdivia, A. Lastra, S. Chueca, J. M. Rodríguez-Ramos, Tip-Tilt restoration of a segmented optical mirror using a geometric sensor. Optical Engineering, 52(5), 056601 (2013). https://doi.org/10.1117/1.OE.52.5.056601
A. Lastra, S. Malek, J. Sanz, On q-asymptotics for q-difference-differential equations with fuchsian and irregular singularities. Formal and analytic solutions of differential and difference equations, 73-90, Banach Center Publ., 97, Polish Acad. Sci. Inst. Math., Warsaw, 2012. ISSN: 1137-6934.
A. Lastra, J. Mozo-Fernández, J. Sanz, Strong asymptotic expansions in a multidirection. Funkcial. Ekvac. 55 (2012), no. 2, 317-345. https://doi.org/10.1619/fesi.55.317
A. Lastra, S. Malek, J. Sanz, Continuous right inverses for the asymptotic Borel map in ultraholomorphic classes via a Laplace-type transform. J. Math. Anal. Appl. 396 (2012), no. 2, 724-740. https://doi.org/10.1016/j.jmaa.2012.07.013
A. Lastra, S. Malek, J. Sanz, On q-asymptotics for linear q-difference-differential equations with Fuchsian and irregular singularities. J. Differential Equations 252 (2012), no. 10, 5185-5216. https://doi.org/10.1016/j.jde.2012.01.038
A. Lastra, S. Malek, On q-Gevrey asymptotics for singularly perturbed q-difference-differential problems with an irregular singularity. Abstr. Appl. Anal. 2012, Art. ID 860716, 35 pp. https://doi.org/10.1155/2012/860716
J.J. Fernández-Valdivia, J. M. Rodríguez-Ramos, A. Lastra, S. Chueca, Real time CUDA implementation and application of the geometric sensor, 2012 11th Euro-American Workshop on Information Optics, Quebec City, QC, 2012, pp. 1-4. doi: 10.1109/WIO.2012.6488911.
M. Núñez, A. Lastra, Self-similar magnetohydrodynamic boundary layers. Physica Scripta, 82, 1-6. IOP Publishing LTD. 2010. https://doi.org/10.1088/0031-8949/82/04/045401
A. Lastra, J. Sanz, Quasi-analyticity in Carleman ultraholomorphic classes. Ann. Inst. Fourier (Grenoble) 60 (2010), no. 5, 1629-1648. https://doi.org/10.5802/aif.2568
M. Núñez, A. Lastra, Boundary layers of an anchored magnetic field in a highly conductive flow. Proc. R. Soc. A (2010) 466, 3153-3166. https://doi.org/10.1098/rspa.2010.0132
A. Lastra, J. Sanz, Extension operators in Carleman ultraholomorphic classes. J. Math. Anal. Appl. 372 (2010), no. 1, 287-305. https://doi.org/10.1016/j.jmaa.2010.06.005
A. Lastra, J. Sanz, Stieltjes moment problem in general Gelfand-Shilov spaces. Studia Math. 192 (2009), no. 2, 111-128. 10.4064/sm192-2-2
A. Lastra, J. Sanz, Linear continuous operators for the Stieltjes moment problem in Gelfand-Shilov spaces. J. Math. Anal. Appl. 340 (2008), no. 2, 968-981. https://doi.org/10.1016/j.jmaa.2007.09.027
A. Lastra, Operadores de extensión para el problema de momentos de Stieltjes en los espacios de Gelfand-Shilov clásicos, Rev. Sem. Iberoam. Mat. 3, V-VI, 65-77, 2008. ISSN: 1136-3894.