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Frechet spaces of general Dirichlet series

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Frechet spaces of general Dirichlet series

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dc.contributor.author Defant, Andreas es_ES
dc.contributor.author Fernández Vidal, Tomás es_ES
dc.contributor.author Schoolmann, Ingo es_ES
dc.contributor.author Sevilla Peris, Pablo es_ES
dc.date.accessioned 2022-10-13T18:07:01Z
dc.date.available 2022-10-13T18:07:01Z
dc.date.issued 2021-07 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/187680
dc.description.abstract [EN] Inspired by a recent article on Frechet spaces of ordinary Dirichlet series Sigma a(n)n(-s) due to J. Bonet, we study topological and geometrical properties of certain scales of Frechet spaces of general Dirichlet spaces Sigma a(n)e(-lambda ns) focus on the Frechet space of lambda-Dirichlet series Sigma a(n)e(-lambda ns) which have limit functions bounded on all half planes strictly smaller than the right half plane [Re > 0]. We develop an abstract setting of pre-Frechet spaces of lambda-Dirichlet series generated by certain admissible normed spaces of lambda-Dirichlet series and the abscissas of convergence they generate, which allows also to define Frechet spaces of lambda-Dirichlet series for which a(n)e(-lambda n/k) for each k equals the Fourier coefficients of a function on an appropriate lambda-Dirichlet group. es_ES
dc.description.sponsorship Andreas Defant: Partially supported by MINECO and FEDER project MTM2017-83262-C2-1-P. Tomás Fernández Vidal: Supported by PICT 2015-2299. Pablo Sevilla-Peris:Supported by MINECO and FEDER project MTM2017-83262-C2-1-P es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject General Dirichlet series es_ES
dc.subject Abscissas of convergence es_ES
dc.subject Frechet spaces es_ES
dc.subject Hardy spaces es_ES
dc.subject Almost periodic functions es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Frechet spaces of general Dirichlet series es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-021-01074-8 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83262-C2-1-P/ES/ANALISIS COMPLEJO Y GEOMETRIA EN ESPACIOS DE BANACH/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/ANPCyT//PICT 2015-2299/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Defant, A.; Fernández Vidal, T.; Schoolmann, I.; Sevilla Peris, P. (2021). Frechet spaces of general Dirichlet series. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 115(3):1-34. https://doi.org/10.1007/s13398-021-01074-8 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-021-01074-8 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 34 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 115 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\460986 es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
dc.contributor.funder Agencia Nacional de Promoción Científica y Tecnológica, Argentina es_ES
dc.description.references Amerio, L., Prouse, G.: Almost-Periodic Functions and Functional Equations. Van Nostrand Reinhold Co., New York (1971) es_ES
dc.description.references Bayart, F.: Hardy spaces of Dirichlet series and their composition operators. Monatsh. Math. 136(3), 203–236 (2002) es_ES
dc.description.references Bayart, F.: Convergence and almost sure properties in Hardy spaces of Dirichlet series. arXiv:2101.02990 (arXiv preprint) (2021) es_ES
dc.description.references Besicovitch, A.S.: Almost Periodic Functions. Dover Publications Inc, New York (1955) es_ES
dc.description.references Bohr, H.: Über die gleichmäßige Konvergenz Dirichletscher Reihen. J. Reine Angew. Math. 143, 203–211 (1913) es_ES
dc.description.references Bohr, H.: Einige Bemerkungen über das Konvergenzproblem Dirichletscher Reihen. Rend. Circ. Mat. Palermo 37, 1–16 (1914) es_ES
dc.description.references Bonet, J.: The Fréchet Schwartz algebra of uniformly convergent Dirichlet series. Proc. Edinb. Math. Soc. 61(4), 933–942 (2018) es_ES
dc.description.references Carando, D., Defant, A., Marceca, F., Schoolmann, I.: Vector-valued general Dirichlet series. Stud. Math 258, 269–316 (2021) es_ES
dc.description.references Defant, A., García, D., Maestre, M., Sevilla-Peris, P.: Dirichlet Series and Holomorphic Functions in High Dimensions. New Mathematical Monographs, vol. 37. Cambridge University Press, Cambridge (2019) es_ES
dc.description.references Defant, A., Pérez, A., Sevilla-Peris, P.: A note on abscissas of Dirichlet series. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 113(3), 2639–2653 (2019) es_ES
dc.description.references Defant, A., Schoolmann, I.: Hardy spaces of general Dirichlet series—a survey. In: Function Spaces XII. Selected Papers Based on the Presentations at the 12th Conference, Krakow, Poland, July 9–14, 2018, pp 123–149. Warsaw: Polish Academy of Sciences, Institute of Mathematics (2019) es_ES
dc.description.references Defant, A., Schoolmann, I.: $$\cal{H}_p$$-theory of general Dirichlet series. J. Fourier Anal. Appl. 25(6), 3220–3258 (2019) es_ES
dc.description.references Defant, A., Schoolmann, I.: Riesz means in Hardy spaces on Dirichlet groups. Math. Ann. 378(1–2), 57–96 (2020) es_ES
dc.description.references Defant, A., Schoolmann, I.: Variants of a theorem of Helson on general Dirichlet series. J. Funct. Anal. 279(5), 108569, 37 (2020) es_ES
dc.description.references Fernández Vidal, T., Galicer, D., Mereb, M., Sevilla-Peris, P.: Hardy space of translated Dirichlet series. Math. Z. 20, 20 (2021) es_ES
dc.description.references Floret, K., Wloka, J.: Einführung in die Theorie der lokalkonvexen Räume. Lecture Notes in Mathematics, vol. 56. Springer, Berlin (1968) es_ES
dc.description.references Hardy, G.H., Riesz, M.: The General Theory of Dirichlet’s Series. Cambridge Tracts in Mathematics and Mathematical Physics, vol. 18. Stechert-Hafner Inc., New York (1964) es_ES
dc.description.references Hedenmalm, H., Lindqvist, P., Seip, K.: A Hilbert space of Dirichlet series and systems of dilated functions in $$L^2(0,1)$$. Duke Math. J. 86(1), 1–37 (1997) es_ES
dc.description.references Jarchow, H.: Locally Convex Spaces. B. G. Teubner, Stuttgart (1981). Mathematische Leitfäden. [Mathematical Textbooks] es_ES
dc.description.references Landau, E.: Über die gleichmäßige Konvergenz Dirichletscher Reihen. Math. Z. 11(3–4), 317–318 (1921) es_ES
dc.description.references Meise, R., Vogt, D.: Introduction to Functional Analysis. Oxford Graduate Texts in Mathematics, vol. 2. Oxford University Press, New York (1997) es_ES
dc.description.references Pereyra, M.C., Ward, L.A.: Harmonic Analysis, Volume 63 of Student Mathematical Library. American Mathematical Society, Providence, RI; Institute for Advanced Study (IAS), Princeton. From Fourier to wavelets, IAS/Park City Mathematical Subseries (2012) es_ES
dc.description.references Queffélec, H., Queffélec, M.: Diophantine Approximation and Dirichlet Series. Harish-Chandra Research Institute Lecture Notes, vol. 2. Hindustan Book Agency, New Delhi (2013) es_ES
dc.description.references Rudin, W.: Fourier Analysis on Groups. Wiley Classics Library. Wiley, New York (1990). Reprint of the 1962 original, A Wiley-Interscience Publication es_ES
dc.description.references Schoolmann, I.: Hardy spaces of general Dirichlet series and their maximal inequalities. PhD thesis, Carl von Ossietzky University of Oldenburg (2020) es_ES
dc.description.references Schoolmann, I.: On Bohr’s theorem for general Dirichlet series. Math. Nachr. 293(8), 1591–1612 (2020) es_ES


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