Relevant bibliographies by topics / P-adic analysis

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'P-adic analysis'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 July 2024

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Journal articles on the topic "P-adic analysis"

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Sarfraz, Naqash, Muhammad Aslam, and Fahd Jarad. "Boundedness for Commutators of Rough p -Adic Hardy Operator on p -Adic Central Morrey Spaces." Journal of Function Spaces 2021 (August 14, 2021): 1–5. http://dx.doi.org/10.1155/2021/4886197.

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In the present article we obtain the boundedness for commutators of rough p -adic Hardy operator on p -adic central Morrey spaces. Furthermore, we also acquire the boundedness of rough p -adic Hardy operator on Lebesgue spaces.
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Jang, Lee-Chae. "A Newq-Analogue of Bernoulli Polynomials Associated withp-Adicq-Integrals." Abstract and Applied Analysis 2008 (2008): 1–6. http://dx.doi.org/10.1155/2008/295307.

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We will study a newq-analogue of Bernoulli polynomials associated withp-adicq-integrals. Furthermore, we examine the Hurwitz-typeq-zeta functions, replacingp-adic rational integersxwith aq-analogue[x]qfor ap-adic numberqwith|q−1|p<1, which interpolateq-analogue of Bernoulli polynomials.
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Chacón-Cortés, Leonardo Fabio, and Humberto Rafeiro. "Fractional Operators in p -adic Variable Exponent Lebesgue Spaces and Application to p -adic Derivative." Journal of Function Spaces 2021 (September 18, 2021): 1–9. http://dx.doi.org/10.1155/2021/3096701.

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In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p -adic variable exponent Lebesgue spaces. As an application, we show the existence and uniqueness of the solution for a nonhomogeneous Cauchy problem in the p -adic variable exponent Lebesgue spaces.
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Bongiorno, B., L. Di Piazza, and V. A. Skvortsov. "The Ward property for a P-adic basis and the P-adic integral." Journal of Mathematical Analysis and Applications 285, no. 2 (2003): 578–92. http://dx.doi.org/10.1016/s0022-247x(03)00426-8.

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Mihara, Tomoki. "Spectral theory for p-adic operators." Journal of Functional Analysis 270, no. 2 (2016): 748–86. http://dx.doi.org/10.1016/j.jfa.2015.08.015.

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an Zhang, Xi, Qian un He, and Xi ng Li. "Sharp bound of m-linear n-dimensional p-adic Hausdorff operators on p-adic Morrey spaces." Journal of Mathematical Inequalities, no. 3 (2023): 1211–21. http://dx.doi.org/10.7153/jmi-2023-17-79.

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Albeverio, S., A. Y. Khrennikov, and V. M. Shelkovich. "Associated homogeneous p-adic distributions." Journal of Mathematical Analysis and Applications 313, no. 1 (2006): 64–83. http://dx.doi.org/10.1016/j.jmaa.2005.05.016.

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Hussain, Amjad, Naqash Sarfraz, Ilyas Khan, and Aisha M. Alqahtani. "Estimates for Commutators of Bilinear Fractional p -Adic Hardy Operator on Herz-Type Spaces." Journal of Function Spaces 2021 (February 3, 2021): 1–7. http://dx.doi.org/10.1155/2021/6615604.

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In the current article, we investigate the boundedness of commutators of the bilinear fractional p -adic Hardy operator on p -adic Herz spaces and p -adic Morrey-Herz spaces by considering the symbol function from central bounded mean oscillations and Lipschitz spaces.
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Khrennikov, A. Yu. "Analysis on the p‐adic superspace. II. Differential equations on p‐adic superspace." Journal of Mathematical Physics 33, no. 5 (1992): 1643–47. http://dx.doi.org/10.1063/1.529691.

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Shi, Yanlong, Li Li, and Zhonghua Shen. "Boundedness of p -Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces." Journal of Function Spaces 2023 (April 18, 2023): 1–11. http://dx.doi.org/10.1155/2023/9965919.

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In this paper, we establish the boundedness of classical p -adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by p -adic singular integral operators and Lipschitz functions or by p -adic singular integral operators and λ -central BMO functions.
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Dissertations / Theses on the topic "P-adic analysis"

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Wald, Christian. "A p-adic quantum group and the quantized p-adic upper half plane." Doctoral thesis, Humboldt-Universität zu Berlin, 2017. http://dx.doi.org/10.18452/18201.

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Eine Quantengruppe ist eine nichtkommutative und nichtkokommutative Hopfalgebra. In dieser Arbeit konstruieren wir eine Deformation der lokalkonvexen Hopfalgebra der lokalanalytischen Funktionen auf GL(2,O), wobei O hier der Bewertungsring einer endlichen Erweiterung der p-adischen Zahlen ist. Wir zeigen, dass diese Deformation eine nichtkommutative, nichtkokommutative lokalkonvexe Hopfalgebra, also eine p-adische Quantengruppe, ist. Unser Hauptresultat ist, dass das starke Dual dieser Deformation eine Fréchet-Stein Algebra ist. Dies bedeutet, dass das starke Dual ein projektiver Limes von noe
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Kent, Zachary A. "P-adic analysis and mock modular forms." Thesis, University of Hawaii at Manoa, 2011. http://hdl.handle.net/10125/25934.

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A mock modular form f+ is the holomorphic part of a harmonic Maass form f. The non-holomorphic part of f is a period integral of a cusp form g, which we call the shadow of f+. The study of mock modular forms and mock theta functions is one of the most active areas in number theory with important works by Bringmann, Ono, Zagier, Zwegers, among many others. The theory has many wide-ranging applications: additive number theory, elliptic curves, mathematical physics, representation theory, and many others. We consider arithmetic properties of mock modular forms in three different settings: zeros o
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Aubertin, Bruce Lyndon. "Algebraic numbers and harmonic analysis in the p-series case." Thesis, University of British Columbia, 1986. http://hdl.handle.net/2429/30282.

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For the case of compact groups G = Π∞ j=l Z(p)j which are direct products of countably many copies of a cyclic group of prime order p, links are established between the theories of uniqueness and spectral synthesis on the one hand, and the theory of algebraic numbers on the other, similar to the well-known results of Salem, Meyer et al on the circle. Let p ≥ 2 be a prime and let k{x⁻¹} denote the p-series field of formal Laurent series z = Σhj=₋∞ ajxj with coefficients in the field k = {0, 1,…, p-1} and the integer h arbitrary. Let L(z) = - ∞ if aj = 0 for all j; otherwise let L(z) be the
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Waller, Bradley A. "Properties of p-adic C^k Distributions." The Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1385485834.

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Burger, Edward B. "Arithmetic from an advanced perspective: an introduction to the Adeles." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95161.

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Here we offer an introduction to the adele ring over the field of rational numbers Q and highlight some of its beautiful algebraic and topological structure. We then apply this rich structure to revisit some ancient results of number theory and place them within this modern context as well as make some new observations. We conclude by indicating how this theory enables us to extend the basic arithmetic of Q to the more subtle, complicated, and interesting setting of an arbitrary number field.
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Ziegler, Yvan. "Calcul effectif sur les courbes hyperelliptiques à réduction semi-stable." Thesis, Rennes 1, 2019. http://www.theses.fr/2019REN1S023/document.

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Dans cette thèse nous étudions la filtration par le poids sur la cohomologie de De Rham d’une courbe hyperelliptique C définie sur une extension finie de Qp et à réduction semi-stable. L’objectif est de fournir des algorithmes calculant explicitement, étant donné une équation de C, les bases des crans de la filtration par le poids ainsi que la matrice de l’accouplement de Poincaré. Dans le premier chapitre, nous mettons en place des outils relatifs à la cohomologie de De Rham algébrique de la courbe hyperelliptique. Nous construisons une base adaptée de la cohomologie de De Rham de C, nous éta
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Delaygue, Eric. "Propriétés arithmétiques des applications miroir." Phd thesis, Université de Grenoble, 2011. http://tel.archives-ouvertes.fr/tel-00628016.

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Nous donnons une condition nécessaire et suffisante pour que les coefficients de Taylor à l'origine de séries en plusieurs variables $q_i({mathbf z})=z_iexp(G_i({mathbf z})/F({mathbf z}))$ soient entiers, avec ${mathbf z}=(z_1,dots,z_d)$ et où $F({mathbf z})$ et $G_i({mathbf z})+log(z_i)F({mathbf z})$, $i=1,dots,d$, sont des solutions particulières de certains $A$-systèmes d'équations différentielles linéaires. Ce critère est basé sur les propriétés analytiques de l'application de Landau (classiquement associée aux suites de quotients de factorielles de formes linéaires). Pour démontrer ce cri
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Chan, Ping-Shun. "Invariant representations of GSp(2)." Columbus, Ohio : Ohio State University, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1132765381.

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Cohen, Joël. "Deux résultats d'analyse harmonique sur un groupe P-adique tordu." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4088/document.

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Dans cette thèse, nous montrons deux résultats d'analyse harmonique sur un groupe réductif p-adique tordu.Le premier résultat est un analogue non connexe au théorème matriciel de Paley Wiener. Soit G réductif p-adique (non nécessairement connexe). L'algèbre de Hecke des fonctions complexes sur G localement constantes à support compact agit les représentations complexe lisses irréductibles de G. L'action d'une fonction est vue comme sa transformée de Fourier. Le théorème fournit une caractérisation de l'image de l'algèbre de Hecke par la transformée de Fourier, ainsi qu'une formule d'inversion.
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De, Ieso Marco. "Analyse p-adique et complétés unitaires universels pour GL₂(F)." Phd thesis, Université Paris Sud - Paris XI, 2012. http://tel.archives-ouvertes.fr/tel-00802660.

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Soit p un nombre premier. Les résultats de cette thèse s'inscrivent dans le cadre du programme de Langlands p-adique. Lorsque V est une représentation p-adique de dimension 2 du groupe Gal(\bar{Qp}/Qp), on sait lui associer une représentation p-adique continue B(V) de GL₂(Qp). Si F est une extension finie non triviale de Qp, la question d'associer des représentations p-adiques de GL₂(F) aux représentations p-adiques de dimension 2 de Gal(\bar{Qp}/F) dans l'esprit d'une correspondance locale à la Langlands s'annonce beaucoup plus délicate. Dans ce texte, nous considérons des espaces de Banach p
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Books on the topic "P-adic analysis"

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Baldassarri, Francesco, Siegfried Bosch, and Bernard Dwork, eds. p-adic Analysis. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0091130.

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1952-, Kąkol J., De Grande-De Kimpe N, Perez-Garcia C. 1956-, and International Conference on p-Adic Functional Analysis (5th : 1999 : Poznań, Poland), eds. p-adic functional analysis. Marcel Dekker, 1999.

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Manuel, Bayod José, De Grande-De Kimpe N, Martínez-Maurica J. 1952-, and Universidad de Cantabria, eds. P-adic functional analysis. M. Dekker, 1992.

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Koblitz, Neal. p-adic numbers, p-adic analysis, and zeta-functions. 2nd ed. Springer, 1996.

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Kedlaya, Kiran Sridhara. p-adic differential equations. Cambridge University Press, 2010.

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Escassut, Alain. Value distribution in p-adic analysis. World Scientific, 2016.

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M, Chuong N., ed. Harmonic, wavelet and p-adic analysis. World Scientific, 2007.

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Robert, Alain M. A Course in p-adic Analysis. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4757-3254-2.

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V, Volovich I., and Zelenov E. I, eds. P-adic analysis and mathematical physics. World Scientific, 1994.

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Kimpe, N. De Grande-De. p-adic numbers in number theory and functional analysis: A collection of papers in honour of Nicloe De Grande-De Kimpe and Lucien Van hamme, at the occasion of their retirement. Belgium Mathematical Society, 2002.

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Book chapters on the topic "P-adic analysis"

1

Khrennikov, Andrei Yu, and Marcus Nilson. "P-Adic Numbers and P-Adic Analysis." In P-adic Deterministic and Random Dynamics. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-2660-7_2.

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Chuong, Nguyen Minh. "p-Adic Mathematical Analysis." In Pseudodifferential Operators and Wavelets over Real and p-adic Fields. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77473-2_3.

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Rizzi, Alfredo. "Ultrametrics and p-adic Numbers." In Data Analysis. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-58250-9_26.

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Zheng, Weixing. "On p-adic cantor function." In Harmonic Analysis. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0087776.

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Kstsaras, A. K., W. H. Schikhof, and L. Van Hamme. "Non-archimedean vector measures and integral operators." In P-Adic Functional Analysis. CRC Press, 2001. http://dx.doi.org/10.1201/9780203908143-1.

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Deitmar, Anton, and Siegfried Echterhoff. "p-Adic Numbers and Adeles." In Principles of Harmonic Analysis. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05792-7_13.

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"p-adic numbers." In Diophantine Analysis. Chapman and Hall/CRC, 2005. http://dx.doi.org/10.1201/b15887-14.

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"p-ADIC ANALYTIC INTERPOLATION." In Analytic Elements in P-Adic Analysis. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789812831019_0052.

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"Matrix analysis." In p-adic Differential Equations, 2nd ed. Cambridge University Press, 2022. http://dx.doi.org/10.1017/9781009127684.008.

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"THE p-ADIC FOURIER TRANSFORM." In Analytic Elements in P-Adic Analysis. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789812831019_0061.

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Conference papers on the topic "P-adic analysis"

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Kozyrev, S. V. "Ultrametric Analysis and Interbasin Kinetics." In p-ADIC MATHEMATICAL PHYSICS: 2nd International Conference. AIP, 2006. http://dx.doi.org/10.1063/1.2193116.

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Glöckner, Helge. "Aspects of p-Adic Non-Linear Functional Analysis." In p-ADIC MATHEMATICAL PHYSICS: 2nd International Conference. AIP, 2006. http://dx.doi.org/10.1063/1.2193126.

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Schumann, Andrew. "P-adic valued models of swarm behaviour." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4992538.

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Mijajlović, Žarko. "Infinitesimals in Nonstandard Analysis versus Infinitesimals in p-Adic Fields." In p-ADIC MATHEMATICAL PHYSICS: 2nd International Conference. AIP, 2006. http://dx.doi.org/10.1063/1.2193129.

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Trelewicz, Jennifer Q. "Analysis of Business Connections Utilizing Theory of Topology of Random Graphs." In p-ADIC MATHEMATICAL PHYSICS: 2nd International Conference. AIP, 2006. http://dx.doi.org/10.1063/1.2193135.

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Murtagh, Fionn. "From Data to the Physics Using Ultrametrics: New Results in High Dimensional Data Analysis." In p-ADIC MATHEMATICAL PHYSICS: 2nd International Conference. AIP, 2006. http://dx.doi.org/10.1063/1.2193119.

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Kobayashi, Kazuyoshi, Rina Takada, and Takao Komatsu. "A note on periodicity of p-adic analytic functions." In DIOPHANTINE ANALYSIS AND RELATED FIELDS: DARF 2007/2008. AIP, 2008. http://dx.doi.org/10.1063/1.2841899.

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Kucukoglu, Irem. "Derivation of some formulas for stirling-type numbers by p-adic integration." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: ICNAAM2022. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0210135.

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Wu, Bo. "Fundamental solutions of Cauchy problem for a class of parabolic equations over p-adic field." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015). Author(s), 2016. http://dx.doi.org/10.1063/1.4952036.

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Cangul, Ismail Naci, Gokhan Soydan, Yilmaz Simsek, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "A p-adic Look at the Diophantine Equation x[sup 2]+11[sup 2k] = y[sup n]." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241447.

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