Edit Profile (opens in new tab) Escassut, Alain Compute Distance To: Compute Author ID: escassut.alain Published as: Escassut, Alain; Escassut, A. Homepage: http://math.univ-bpclermont.fr/~escassut/ External Links: MGP · ORCID · ResearchGate · Math-Net.Ru · GND · IdRef · theses.fr Documents Indexed: 181 Publications since 1970, including 6 Books 7 Contributions as Editor Reviewing Activity: 59 Reviews Co-Authors: 34 Co-Authors with 107 Joint Publications 532 Co-Co-Authors all top 5 Co-Authors 81 single-authored 22 Boutabaa, Abdelbaki 21 Boussaf, Kamal 15 Ojeda, Jacqueline 15 Sarmant, Marie-Claude 14 Maïnetti, Nicolas 9 Diarra, Bertin 6 Yang, Chung-Chun 5 Tạ Thị Hoài An 4 Chicourrat, Monique 4 Haddad, Labib 2 Araujo, Jesús 2 Bézivin, Jean-Paul 2 Cherry, William 2 Perez-Garcia, Cristina 2 Shamseddine, Khodr 2 Vidal, Robert J. 1 Aguayo, José N. 1 Amice, Yvette 1 Araujo-Gomez, Jesus 1 Csordas, George 1 Endo, Mikihiko 1 Glöckner, Helge 1 Katsaras, Athanasios K. 1 Khrennikov, Andreĭ Yur’evich 1 Lu, Weiran 1 Mayerhofer, Eberhard 1 Narici, Lawrence 1 Ochsenius Alarcón, Maria Herminia 1 Pasten, Hector V. 1 Riquelme, J.-l. 1 Rivera-Letelier, Juan 1 Robba, Philippe 1 Schikhof, Wilhelmus Hendricus 1 Tutschke, Wolfgang all top 5 Serials 13 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 13 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 9 Bulletin of the Belgian Mathematical Society - Simon Stevin 5 Journal of Number Theory 5 Sarajevo Journal of Mathematics 5 Contemporary Mathematics 4 Collectanea Mathematica 4 Bulletin des Sciences Mathématiques 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Commentarii Mathematici Universitatis Sancti Pauli 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Indagationes Mathematicae. New Series 3 Annales Mathématiques Blaise Pascal 2 Houston Journal of Mathematics 2 Annales de l’Institut Fourier 2 Bulletin des Sciences Mathématiques. Deuxième Série 2 Glasgow Mathematical Journal 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Topology and its Applications 2 Complex Variables. Theory and Application 2 Rivista di Matemàtica Pura ed Applicata 2 Séminaire d’Analyse. Université Blaise Pascal. Clermont II 2 Bulletin de la Société Mathématique de France. Supplément. Mémoires 2 Complex Variables and Elliptic Equations 2 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Communications in Algebra 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Acta Arithmetica 1 Annales des Sciences Mathématiques du Québec 1 Colloquium Mathematicum 1 Indagationes Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Studia Scientiarum Mathematicarum Hungarica 1 Southeast Asian Bulletin of Mathematics 1 Publicacions Matemàtiques 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 The Journal of Analysis 1 The Ramanujan Journal 1 Vietnam Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Italian Journal of Pure and Applied Mathematics 1 Analysis in Theory and Applications 1 Cubo 1 Astérisque 1 Mathematics Monograph Series 1 Advances in Operator Theory all top 5 Fields 121 Field theory and polynomials (12-XX) 100 Functions of a complex variable (30-XX) 100 Functional analysis (46-XX) 30 Number theory (11-XX) 18 Several complex variables and analytic spaces (32-XX) 11 Real functions (26-XX) 10 Operator theory (47-XX) 8 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Ordinary differential equations (34-XX) 2 Abstract harmonic analysis (43-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 504 times in 169 Documents Cited by ▼ Year ▼ Analytic elements in \(p\)-adic analysis. Zbl 0933.30030Escassut, Alain 78 1995 Ultrametric Banach algebras. Zbl 1026.46067Escassut, Alain 22 2003 Urs and ursims for \(p\)-adic meromorphic functions inside a disc. Zbl 1002.12008Boutabaa, Abdelbaki; Escassut, Alain 20 2001 Some topics on value distribution and differentiability in complex and \(p\)-adic analysis. Zbl 1233.30005 18 2008 Value distribution in \(p\)-adic analysis. Zbl 1350.30002Escassut, Alain 15 2016 T-filtres, ensembles analytiques et transformation de Fourier \(p\)-adique. Zbl 0302.43012Escassut, Alain 13 1975 \(p\)-adic value distribution. Zbl 1235.32018Escassut, Alain 13 2008 On uniqueness of \(p\)-adic entire functions. Zbl 0935.30029Boutabaa, Abdelbaki; Escassut, Alain; Haddad, Labib 12 1997 Algèbres d’éléments analytiques en analyse non archimedienne. Zbl 0289.12112Escassut, Alain 11 1974 Spectre maximal d’une algèbre de Krasner. Zbl 0384.12012Escassut, Alain 10 1978 Meromorphic functions of uniqueness. Zbl 1111.30024Escassut, Alain 10 2007 Zeros of the derivative of a \(p\)-adic meromorphic function. Zbl 1296.30054Bézivin, Jean-Paul; Boussaf, Kamal; Escassut, Alain 10 2012 \(p\)-adic meromorphic functions \(f^\prime P^\prime (f), g^\prime P^\prime (g)\), sharing a small function. Zbl 1255.30047Boussaf, Kamal; Escassut, Alain; Ojeda, Jacqueline 10 2012 Éléments analytiques et filtres perces sur un ensemble infraconnexe. Zbl 0336.12103Escassut, Alain 9 1976 Urs, ursim, and non-urs for \(p\)-adic functions and polynomials. Zbl 1036.11062Escassut, Alain; Haddad, Labib; Vidal, Robert 9 1999 Algèbres de Banach ultramétriques. Algèbres de Krasner-Tate. Zbl 0289.12109Escassut, Alain 9 1973 Growth of \(p\)-adic entire functions and applications. Zbl 1359.30051Boussaf, Kamal; Boutabaa, Abdelbaki; Escassut, Alain 9 2014 The \(p\)-adic Hayman conjecture when \(n=2\). Zbl 1339.30020Escassut, Alain; Ojeda, Jacqueline 8 2014 Exceptional values of \(p\)-adic analytic functions and derivatives. Zbl 1211.30054Escassut, A.; Ojeda, J. 8 2011 Algèbres d’éléments analytiques au sens de Krasner dans un corps value non archimedien complet, algébriquement clos. Zbl 0192.40203Escassut, A. 8 1970 About the ultrametric corona problem. Zbl 1223.46066Escassut, Alain; Maïnetti, Nicolas 8 2008 Complex meromorphic functions \(f^{\prime}P^{\prime}(f), g^{\prime}P^{\prime}(g)\) sharing a small function. Zbl 1269.30035Boussaf, Kamal; Escassut, Alain; Ojeda, Jacqueline 7 2013 Functional equations in a \(p\)-adic context. Zbl 1160.39008Escassut, Alain; Ojeda, Jacqueline; Yang, C. C. 6 2009 An improvement of the \(p\)-adic Nevanlinna theory and application to meromorphic functions. Zbl 0937.30028Boutabaa, Abdelbaki; Escassut, Alain 6 1999 The functional equation \(P(f)=Q(g)\) in a \(p\)-adic field. Zbl 1054.30043Escassut, Alain; Yang, Chung-Chun 6 2004 The ultrametric spectral theory. Zbl 0435.46055Escassut, A. 6 1980 The ultrametric corona problem and spherically complete fields. Zbl 1253.46056Escassut, Alain 6 2010 Primitives of \(p\)-adic meromorphic functions. Zbl 1242.30037Boussaf, Kamal; Escassut, Alain; Ojeda, Jacqueline 6 2011 Some old and new results on zeros of the derivative of a \(p\)-adic meromorphic function. Zbl 1333.30059Bézivin, Jean-Paul; Boussaf, Kamal; Escassut, Alain 5 2013 Meromorphic solutions of equations over non-Archimedean fields. Zbl 1247.30041Ta Thi Hoai An; Escassut, Alain 5 2008 Applications of the \(p\)-adic Nevanlinna theory to functional equations. Zbl 1063.30043Boutabaa, Abdelbaki; Escassut, Alain 5 2000 On uniqueness of \(p\)-adic meromorphic functions. Zbl 1012.30031Boutabaa, Abdelbaki; Escassut, Alain 5 1998 Spectral semi-norm of a \(p\)-adic Banach algebra. Zbl 0919.46054Escassut, Alain; Mainetti, Nicolas 5 1998 Les algèbres de Krasner. (Krasner algebras). Zbl 0221.46043Escassut, Alain 5 1971 Shilov boundary for ultrametric algebras. Zbl 1096.46043Escassut, Alain; Maïnetti, Nicolas 5 2002 Branched values and quasi-exceptional values for \(p\)-adic meromorphic functions. Zbl 1310.30039Escassut, Alain; Ojeda, Jacqueline 5 2013 Order, type and cotype of growth for \(p\)-adic entire functions: a survey with additional properties. Zbl 1432.30031Boussaf, Kamal; Boutabaa, Abdelbaki; Escassut, Alain 5 2016 Topological divisors of zero and Shilov boundary. Zbl 1105.46053Escassut, Alain 4 2006 Property \(f^{-1}(S)=g^{-1}(S)\) for entire and meromorphic \(P\)-adic functions. Zbl 1226.30042Boutabaa, Abdelbaki; Escassut, Alain 4 2000 Multiplicative spectrum of ultrametric Banach algebras of continuous functions. Zbl 1210.54036Escassut, Alain; Maïnetti, Nicolas 4 2010 Order, type and cotype of growth for \(p\)-adic entire functions. Zbl 1424.30137Escassut, Alain; Boussaf, Kamal; Boutabaa, Abdelbaki 4 2016 Fonctions analytiques et produits croulants. (Analytic functions and collapsing products). Zbl 0605.30046Sarmant, Marie-Claude; Escassut, Alain 3 1985 T-suites idempotentes. Zbl 0498.12030Sarmant, Marie-Claude; Escassut, Alain 3 1982 Transcendence order over \(Q_ p\) in \(C_ p\). Zbl 0519.10023Escassut, Alain 3 1983 On ideals of the algebra of \(p\)-adic bounded analytic functions on a disk. Zbl 1182.46059Escassut, Alain; Maïnetti, Nicolas 3 2007 Éléments spectralement injectifs et générateurs universels dans une algèbre de Tate. Zbl 0389.12012Escassut, Alain 3 1977 Complex and \(p\)-adic branched functions and growth of entire functions. Zbl 1329.30023Escassut, Alain; Boussaf, Kamal; Ojeda, Jacqueline 3 2015 Nevanlinna theory in characteristic \(P\) and applications. Zbl 1046.30030Boutabaa, Abdelbaki; Escassut, Alain 3 2003 Sur la non-injectivite de la transformation de Fourier p-adique rélative à \(Z_p\). Zbl 0274.43010Amice, Yvette; Escassut, Alain 3 1974 Algebres de Krasner integres et noetheriennes. I and II. Zbl 0324.46052Escassut, Alain 3 1976 Spectrum of ultrametric Banach algebras of strictly differentiable functions. Zbl 1405.46054Escassut, Alain; Maïnetti, Nicolas 3 2018 Finite codimensional maximal ideals in subalgebras of ultrametric uniformly continuous functions. Zbl 1452.46057Chicourrat, Monique; Diarra, Bertin; Escassut, Alain 3 2019 Prolongement analytique à travers un T-filtre. (Analytic extension through a T-filter). Zbl 0596.32007Sarmant, Marie-Claude; Escassut, Alain 2 1987 The Laguerre inequality and the distribution of zeros of entire functions. Zbl 1096.30023Csordas, George; Escassut, Alain 2 2005 The corona problem on a complete ultrametric algebraically closed field. Zbl 1353.46056Escassut, Alain 2 2016 Maximum principle for analytic elements and Lubin-Hensel’s theorem in \(H(D)[[Y]]\). Zbl 0542.12013Escassut, Alain 2 1983 Injectivity, Mittag–Leffler series and Motzkin products. Zbl 0824.12008Escassut, Alain; Sarmant, Marie-Claude 2 1992 Sufficient conditions for injectivity of analytic elements. Zbl 0813.46070Escassut, Alain; Sarmant, Marie-Claude 2 1994 Sets of range uniqueness in \(p\)-adic fields. Zbl 1192.46070Boussaf, K.; Boutabaa, A.; Escassut, A. 2 2007 Compléments sur le prolongement analytique dans un corps valué non archimédien complet, algébriquement clos. Zbl 0201.53802Escassut, A. 2 1970 Ultrametric functional analysis. Proceedings of the eighth international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2004. Zbl 1078.46002 2 2005 New results on applications of Nevanlinna methods to value sharing problems. Zbl 1309.30038Escassut, A.; Boussaf, K.; Ojeda, J. 2 2013 Survey on the Kakutani problem in \(p\)-adic analysis. I. Zbl 1449.12002Escassut, Alain 2 2019 Ultrafilters and ultrametric Banach algebras of Lipschitz functions. Zbl 1439.46061Chicourrat, Monique; Escassut, Alain 2 2020 Banach algebras of ultrametric Lipschitzian functions. Zbl 1438.30141Chicourrat, Monique; Escassut, Alain 2 2018 \(p\)-adic analytic interpolation. Zbl 0844.46054Araujo, Jesus; Escassut, Alain 1 1995 Absolute values on algebras \(H(D)\). Zbl 0847.12004Boussaf, Kamal; Escassut, Alain 1 1995 The differential equation \(y'=fy\) in the algebras \(H(D)\). Zbl 0727.12012Escassut, Alain; Sarmant, Marie-Claude 1 1988 The equation \(y'=fy\) in zero residue characteristic. Zbl 0731.12005Escassut, Alain; Sarmant, Marie-Claude 1 1991 The functional equation \(P(f)= Q(g)\) in a \(p\)-adic field. Zbl 1091.30022Escassut, Alain; Yang, Chung Chun 1 2005 Lubin-Hensel factorization for Laurent series. Zbl 0631.12019Escassut, Alain 1 1987 Hensel factorization for series with analytic coefficients. Zbl 0644.12013Escassut, Alain 1 1986 Morphisms between ultrametric Banach algebras and maximal ideals of finite codimension. Zbl 1345.46061Escassut, Alain; Maïnetti, Nicolas 1 2013 Unique range sets in positive characteristic. Zbl 1011.30044Boutabaa, Abdelbaki; Cherry, William; Escassut, Alain 1 2002 Closed homomorphisms of algebras of analytic elements. Zbl 1038.46511Boussaf, K.; Escassut, A. 1 1997 A counter example of \(p\)-adic Hartogs theorem on a product of closed disks. Zbl 1053.32506Endo, Mikihiko; Escassut, Alain 1 1997 Mittag-Leffler series and Motzkin product for invertible analytic elements. Zbl 0774.12010Escassut, Alain; Sarmant, Marie-Claude 1 1993 Type de transcendance p-adique. Zbl 0401.10044Escassut, Alain 1 1978 The equation \(y'=fy\) in \(\mathbb C_p\) when \(f\) is not quasi-invertible. Zbl 0715.12003Escassut, Alain 1 1990 Derivative of analytic elements on infraconnected clopen sets. Zbl 0719.32015Escassut, Alain 1 1989 Applications of the \(p\)-adic Nevanlinna theory. Zbl 1005.30036Boutabaa, Abdelbaki; Escassut, Alain 1 2001 Uniqueness problems and applications of the ultrametric Nevanlinna theory. Zbl 1086.12004Boutabaa, Abdelbaki; Escassut, Alain 1 2003 Algèbres de Banach unitaire H(D). Zbl 0283.12106Escassut, Alain 1 1970 Algèbres de Banach ultrametrique et algèbres de Krasner-Tate. Zbl 0285.46045Escassut, Alain 1 1973 Propriétés spectrales en analyse non archimedienne. Zbl 0303.46039Escassut, Alain 1 1975 Rational decompositions of complex meromorphic functions. Zbl 1067.30056Escassut, Alain; Mayerhofer, Eberhard 1 2004 Shilov boundary for normed algebras. Zbl 1085.46051Escassut, Alain; Mainetti, Nicolas 1 2004 Parametrization of curves in characteristic \(p\). Zbl 1082.14031Boutabaa, A.; Escassut, A. 1 2004 Analytic mappings in the tree \(\text{Mult}(K[x])\). Zbl 1098.46055Boussaf, Kamal; Escassut, Alain; Maïnetti, Nicolas 1 2002 Nevanlinna theory in positive characteristic and applications. Zbl 1193.12002Boutabaa, Abdelbaki; Escassut, Alain 1 2008 Applications of branched values to \(p\)-adic functional equations on analytic functions. Zbl 1309.30040Escassut, A.; Riquelme, J.-l. 1 2014 Advances in non-Archimedean analysis. 11th international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2010. Zbl 1222.46003 1 2011 P-adic Nevanlinna theory outside of a hole. Zbl 1382.30065Escassut, Alain; Thi Hoai An Ta 1 2017 Zeros of the derivative of a \(p\)-adic meromorphic function and applications. Zbl 1267.30100Boussaf, Kamal; Escassut, Alain; Ojeda, Jacqueline 1 2012 A survey and new results on Banach algebras of ultrametric continuous functions. Zbl 1468.46079Chicourrat, Monique; Diarra, Bertin; Escassut, Alain 1 2020 Survey on the Kakutani problem in \( p \)-adic analysis. II. Zbl 1463.12005Escassut, Alain 1 2020 Ultrafilters and ultrametric Banach algebras of Lipschitz functions. Zbl 1439.46061Chicourrat, Monique; Escassut, Alain 2 2020 A survey and new results on Banach algebras of ultrametric continuous functions. Zbl 1468.46079Chicourrat, Monique; Diarra, Bertin; Escassut, Alain 1 2020 Survey on the Kakutani problem in \( p \)-adic analysis. II. Zbl 1463.12005Escassut, Alain 1 2020 Finite codimensional maximal ideals in subalgebras of ultrametric uniformly continuous functions. Zbl 1452.46057Chicourrat, Monique; Diarra, Bertin; Escassut, Alain 3 2019 Survey on the Kakutani problem in \(p\)-adic analysis. I. Zbl 1449.12002Escassut, Alain 2 2019 Spectrum of ultrametric Banach algebras of strictly differentiable functions. Zbl 1405.46054Escassut, Alain; Maïnetti, Nicolas 3 2018 Banach algebras of ultrametric Lipschitzian functions. Zbl 1438.30141Chicourrat, Monique; Escassut, Alain 2 2018 P-adic Nevanlinna theory outside of a hole. Zbl 1382.30065Escassut, Alain; Thi Hoai An Ta 1 2017 Value distribution in \(p\)-adic analysis. Zbl 1350.30002Escassut, Alain 15 2016 Order, type and cotype of growth for \(p\)-adic entire functions: a survey with additional properties. Zbl 1432.30031Boussaf, Kamal; Boutabaa, Abdelbaki; Escassut, Alain 5 2016 Order, type and cotype of growth for \(p\)-adic entire functions. Zbl 1424.30137Escassut, Alain; Boussaf, Kamal; Boutabaa, Abdelbaki 4 2016 The corona problem on a complete ultrametric algebraically closed field. Zbl 1353.46056Escassut, Alain 2 2016 Complex and \(p\)-adic branched functions and growth of entire functions. Zbl 1329.30023Escassut, Alain; Boussaf, Kamal; Ojeda, Jacqueline 3 2015 Growth of \(p\)-adic entire functions and applications. Zbl 1359.30051Boussaf, Kamal; Boutabaa, Abdelbaki; Escassut, Alain 9 2014 The \(p\)-adic Hayman conjecture when \(n=2\). Zbl 1339.30020Escassut, Alain; Ojeda, Jacqueline 8 2014 Applications of branched values to \(p\)-adic functional equations on analytic functions. Zbl 1309.30040Escassut, A.; Riquelme, J.-l. 1 2014 Complex meromorphic functions \(f^{\prime}P^{\prime}(f), g^{\prime}P^{\prime}(g)\) sharing a small function. Zbl 1269.30035Boussaf, Kamal; Escassut, Alain; Ojeda, Jacqueline 7 2013 Some old and new results on zeros of the derivative of a \(p\)-adic meromorphic function. Zbl 1333.30059Bézivin, Jean-Paul; Boussaf, Kamal; Escassut, Alain 5 2013 Branched values and quasi-exceptional values for \(p\)-adic meromorphic functions. Zbl 1310.30039Escassut, Alain; Ojeda, Jacqueline 5 2013 New results on applications of Nevanlinna methods to value sharing problems. Zbl 1309.30038Escassut, A.; Boussaf, K.; Ojeda, J. 2 2013 Morphisms between ultrametric Banach algebras and maximal ideals of finite codimension. Zbl 1345.46061Escassut, Alain; Maïnetti, Nicolas 1 2013 Zeros of the derivative of a \(p\)-adic meromorphic function. Zbl 1296.30054Bézivin, Jean-Paul; Boussaf, Kamal; Escassut, Alain 10 2012 \(p\)-adic meromorphic functions \(f^\prime P^\prime (f), g^\prime P^\prime (g)\), sharing a small function. Zbl 1255.30047Boussaf, Kamal; Escassut, Alain; Ojeda, Jacqueline 10 2012 Zeros of the derivative of a \(p\)-adic meromorphic function and applications. Zbl 1267.30100Boussaf, Kamal; Escassut, Alain; Ojeda, Jacqueline 1 2012 Exceptional values of \(p\)-adic analytic functions and derivatives. Zbl 1211.30054Escassut, A.; Ojeda, J. 8 2011 Primitives of \(p\)-adic meromorphic functions. Zbl 1242.30037Boussaf, Kamal; Escassut, Alain; Ojeda, Jacqueline 6 2011 Advances in non-Archimedean analysis. 11th international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2010. Zbl 1222.46003 1 2011 The ultrametric corona problem and spherically complete fields. Zbl 1253.46056Escassut, Alain 6 2010 Multiplicative spectrum of ultrametric Banach algebras of continuous functions. Zbl 1210.54036Escassut, Alain; Maïnetti, Nicolas 4 2010 Functional equations in a \(p\)-adic context. Zbl 1160.39008Escassut, Alain; Ojeda, Jacqueline; Yang, C. C. 6 2009 Some topics on value distribution and differentiability in complex and \(p\)-adic analysis. Zbl 1233.30005 18 2008 \(p\)-adic value distribution. Zbl 1235.32018Escassut, Alain 13 2008 About the ultrametric corona problem. Zbl 1223.46066Escassut, Alain; Maïnetti, Nicolas 8 2008 Meromorphic solutions of equations over non-Archimedean fields. Zbl 1247.30041Ta Thi Hoai An; Escassut, Alain 5 2008 Nevanlinna theory in positive characteristic and applications. Zbl 1193.12002Boutabaa, Abdelbaki; Escassut, Alain 1 2008 Meromorphic functions of uniqueness. Zbl 1111.30024Escassut, Alain 10 2007 On ideals of the algebra of \(p\)-adic bounded analytic functions on a disk. Zbl 1182.46059Escassut, Alain; Maïnetti, Nicolas 3 2007 Sets of range uniqueness in \(p\)-adic fields. Zbl 1192.46070Boussaf, K.; Boutabaa, A.; Escassut, A. 2 2007 Topological divisors of zero and Shilov boundary. Zbl 1105.46053Escassut, Alain 4 2006 The Laguerre inequality and the distribution of zeros of entire functions. Zbl 1096.30023Csordas, George; Escassut, Alain 2 2005 Ultrametric functional analysis. Proceedings of the eighth international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2004. Zbl 1078.46002 2 2005 The functional equation \(P(f)= Q(g)\) in a \(p\)-adic field. Zbl 1091.30022Escassut, Alain; Yang, Chung Chun 1 2005 The functional equation \(P(f)=Q(g)\) in a \(p\)-adic field. Zbl 1054.30043Escassut, Alain; Yang, Chung-Chun 6 2004 Rational decompositions of complex meromorphic functions. Zbl 1067.30056Escassut, Alain; Mayerhofer, Eberhard 1 2004 Shilov boundary for normed algebras. Zbl 1085.46051Escassut, Alain; Mainetti, Nicolas 1 2004 Parametrization of curves in characteristic \(p\). Zbl 1082.14031Boutabaa, A.; Escassut, A. 1 2004 Ultrametric Banach algebras. Zbl 1026.46067Escassut, Alain 22 2003 Nevanlinna theory in characteristic \(P\) and applications. Zbl 1046.30030Boutabaa, Abdelbaki; Escassut, Alain 3 2003 Uniqueness problems and applications of the ultrametric Nevanlinna theory. Zbl 1086.12004Boutabaa, Abdelbaki; Escassut, Alain 1 2003 Shilov boundary for ultrametric algebras. Zbl 1096.46043Escassut, Alain; Maïnetti, Nicolas 5 2002 Unique range sets in positive characteristic. Zbl 1011.30044Boutabaa, Abdelbaki; Cherry, William; Escassut, Alain 1 2002 Analytic mappings in the tree \(\text{Mult}(K[x])\). Zbl 1098.46055Boussaf, Kamal; Escassut, Alain; Maïnetti, Nicolas 1 2002 Urs and ursims for \(p\)-adic meromorphic functions inside a disc. Zbl 1002.12008Boutabaa, Abdelbaki; Escassut, Alain 20 2001 Applications of the \(p\)-adic Nevanlinna theory. Zbl 1005.30036Boutabaa, Abdelbaki; Escassut, Alain 1 2001 Applications of the \(p\)-adic Nevanlinna theory to functional equations. Zbl 1063.30043Boutabaa, Abdelbaki; Escassut, Alain 5 2000 Property \(f^{-1}(S)=g^{-1}(S)\) for entire and meromorphic \(P\)-adic functions. Zbl 1226.30042Boutabaa, Abdelbaki; Escassut, Alain 4 2000 Urs, ursim, and non-urs for \(p\)-adic functions and polynomials. Zbl 1036.11062Escassut, Alain; Haddad, Labib; Vidal, Robert 9 1999 An improvement of the \(p\)-adic Nevanlinna theory and application to meromorphic functions. Zbl 0937.30028Boutabaa, Abdelbaki; Escassut, Alain 6 1999 On uniqueness of \(p\)-adic meromorphic functions. Zbl 1012.30031Boutabaa, Abdelbaki; Escassut, Alain 5 1998 Spectral semi-norm of a \(p\)-adic Banach algebra. Zbl 0919.46054Escassut, Alain; Mainetti, Nicolas 5 1998 On uniqueness of \(p\)-adic entire functions. Zbl 0935.30029Boutabaa, Abdelbaki; Escassut, Alain; Haddad, Labib 12 1997 Closed homomorphisms of algebras of analytic elements. Zbl 1038.46511Boussaf, K.; Escassut, A. 1 1997 A counter example of \(p\)-adic Hartogs theorem on a product of closed disks. Zbl 1053.32506Endo, Mikihiko; Escassut, Alain 1 1997 Analytic elements in \(p\)-adic analysis. Zbl 0933.30030Escassut, Alain 78 1995 \(p\)-adic analytic interpolation. Zbl 0844.46054Araujo, Jesus; Escassut, Alain 1 1995 Absolute values on algebras \(H(D)\). Zbl 0847.12004Boussaf, Kamal; Escassut, Alain 1 1995 Sufficient conditions for injectivity of analytic elements. Zbl 0813.46070Escassut, Alain; Sarmant, Marie-Claude 2 1994 Mittag-Leffler series and Motzkin product for invertible analytic elements. Zbl 0774.12010Escassut, Alain; Sarmant, Marie-Claude 1 1993 Injectivity, Mittag–Leffler series and Motzkin products. Zbl 0824.12008Escassut, Alain; Sarmant, Marie-Claude 2 1992 The equation \(y'=fy\) in zero residue characteristic. Zbl 0731.12005Escassut, Alain; Sarmant, Marie-Claude 1 1991 The equation \(y'=fy\) in \(\mathbb C_p\) when \(f\) is not quasi-invertible. Zbl 0715.12003Escassut, Alain 1 1990 Derivative of analytic elements on infraconnected clopen sets. Zbl 0719.32015Escassut, Alain 1 1989 The differential equation \(y'=fy\) in the algebras \(H(D)\). Zbl 0727.12012Escassut, Alain; Sarmant, Marie-Claude 1 1988 Prolongement analytique à travers un T-filtre. (Analytic extension through a T-filter). Zbl 0596.32007Sarmant, Marie-Claude; Escassut, Alain 2 1987 Lubin-Hensel factorization for Laurent series. Zbl 0631.12019Escassut, Alain 1 1987 Hensel factorization for series with analytic coefficients. Zbl 0644.12013Escassut, Alain 1 1986 Fonctions analytiques et produits croulants. (Analytic functions and collapsing products). Zbl 0605.30046Sarmant, Marie-Claude; Escassut, Alain 3 1985 Transcendence order over \(Q_ p\) in \(C_ p\). Zbl 0519.10023Escassut, Alain 3 1983 Maximum principle for analytic elements and Lubin-Hensel’s theorem in \(H(D)[[Y]]\). Zbl 0542.12013Escassut, Alain 2 1983 T-suites idempotentes. Zbl 0498.12030Sarmant, Marie-Claude; Escassut, Alain 3 1982 The ultrametric spectral theory. Zbl 0435.46055Escassut, A. 6 1980 Spectre maximal d’une algèbre de Krasner. Zbl 0384.12012Escassut, Alain 10 1978 Type de transcendance p-adique. Zbl 0401.10044Escassut, Alain 1 1978 Éléments spectralement injectifs et générateurs universels dans une algèbre de Tate. Zbl 0389.12012Escassut, Alain 3 1977 Éléments analytiques et filtres perces sur un ensemble infraconnexe. Zbl 0336.12103Escassut, Alain 9 1976 Algebres de Krasner integres et noetheriennes. I and II. Zbl 0324.46052Escassut, Alain 3 1976 T-filtres, ensembles analytiques et transformation de Fourier \(p\)-adique. Zbl 0302.43012Escassut, Alain 13 1975 Propriétés spectrales en analyse non archimedienne. Zbl 0303.46039Escassut, Alain 1 1975 Algèbres d’éléments analytiques en analyse non archimedienne. Zbl 0289.12112Escassut, Alain 11 1974 Sur la non-injectivite de la transformation de Fourier p-adique rélative à \(Z_p\). Zbl 0274.43010Amice, Yvette; Escassut, Alain 3 1974 Algèbres de Banach ultramétriques. Algèbres de Krasner-Tate. Zbl 0289.12109Escassut, Alain 9 1973 Algèbres de Banach ultrametrique et algèbres de Krasner-Tate. Zbl 0285.46045Escassut, Alain 1 1973 Les algèbres de Krasner. (Krasner algebras). Zbl 0221.46043Escassut, Alain 5 1971 Algèbres d’éléments analytiques au sens de Krasner dans un corps value non archimedien complet, algébriquement clos. Zbl 0192.40203Escassut, A. 8 1970 Compléments sur le prolongement analytique dans un corps valué non archimédien complet, algébriquement clos. Zbl 0201.53802Escassut, A. 2 1970 Algèbres de Banach unitaire H(D). Zbl 0283.12106Escassut, Alain 1 1970 all cited Publications top 5 cited Publications all top 5 Cited by 122 Authors 53 Escassut, Alain 12 Boussaf, Kamal 9 Tạ Thị Hoài An 9 Yang, Chung-Chun 8 Boutabaa, Abdelbaki 6 Ojeda, Jacqueline 5 Biswas, Tanmay 5 Hu, Peichu 5 Mukhamedov, Farruh Maksutovich 4 Khoai, Ha Huy 4 Khrennikov, Andreĭ Yur’evich 4 Maïnetti, Nicolas 3 An, Vu Hoai An 3 Chicourrat, Monique 3 Hà Huy Khóai 3 Haddad, Labib 3 Kochubeĭ, Anatoliĭ Naumovych 3 Maïga, Hamadoun 3 Natarajan, Pinnangudi Narayanasubramanian 3 Rozikov, Utkir A. 2 Alexandru, Victor 2 Araujo, Jesús 2 Chirskiĭ, Vladimir Grigor’evich 2 Deng, Guantie 2 Iurato, Giuseppe 2 Kozyrev, Sergeĭ Vladimirovich 2 Leung, Chi-Wai 2 Lindahl, Karl-Olof 2 Ludkovsky, Sergey Victor 2 Meng, Chao 2 Motzkin, Elhanan 2 Ng, Chi-Keung 2 Nguyen Thi Ngoc Diep 2 Pasten, Hector V. 2 Robba, Philippe 2 Sattarov, Iskandar A. 2 Shamseddine, Khodr 2 Tutschke, Wolfgang 2 Vâjâitu, Marian 2 Vanegas, Carmen Judith 2 Vidal, Robert J. 2 Vu Hoai An 2 Zaharescu, Alexandru 2 Zerzaihi, Tahar 1 Abbas, Usman Yakubu 1 Aguayo, José N. 1 Akin, Hasan 1 Alayón-Solarz, Daniel 1 Albeverio, Sergio A. 1 An, Ta Thi Hoai 1 Atia, Mohamed Jalel 1 Banerjee, Abhijit 1 Barría Comicheo, Angel 1 Bazhenova, O. Yu. 1 Benedetto, Robert L. 1 Bézivin, Jean-Paul 1 Biswas, Chinmay 1 Bourourou, S. 1 Bui Thi Kieu Oanh 1 Christol, Gilles 1 Csordas, George 1 de Mathan, Bernard 1 De Smedt, Stany 1 Deninger, Christopher 1 Diagana, Toka 1 Diarra, Bertin 1 Dragovich, Branko 1 Endo, Mikihiko 1 Fresnel, Jean 1 Gao, Zhiqiang 1 Garcia-Fritz, Natalia 1 Halder, Samar 1 Han, Qi 1 Játem, José 1 Jurvanen, Henna 1 Kaish, Imrul 1 Khamraev, Murod 1 Kiwi, Jan 1 Lai, Nguyen Xuan 1 Li, Zhiqiang 1 Long, Pinhong 1 Lu, Weiran 1 Maity, Sayantan 1 Mayerhofer, Eberhard 1 Mihara, Tomoki 1 Murtagh, Fionn D. 1 Nakagawa, Takahiro 1 Ngo Thi Thu Thuy 1 Nguyen Viet Phuong 1 Nilsson, Marcus 1 Nova, Miguel 1 Pakovich, Fedor 1 Perrin, Yvette 1 Pham Ngoc Hoa 1 Phuong, Nguyen Viet 1 Popescu, Nicolae 1 Qiao, Lei 1 Quang, Nguyen Thanh 1 Rahaman, Md. Majibur 1 Rastogi, Anupma ...and 22 more Authors all top 5 Cited in 67 Serials 25 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 13 Journal of Number Theory 9 Annales Mathématiques Blaise Pascal 7 Complex Variables and Elliptic Equations 6 Annales de l’Institut Fourier 6 Indagationes Mathematicae. New Series 5 Journal of Mathematical Analysis and Applications 5 Bulletin des Sciences Mathématiques 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Bulletin de la Société Mathématique de France. Supplément. Mémoires 4 Asian-European Journal of Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Advances in Applied Clifford Algebras 3 Computational Methods and Function Theory 3 Sarajevo Journal of Mathematics 2 Communications in Algebra 2 Journal of Mathematical Physics 2 Theoretical and Mathematical Physics 2 Bulletin de la Société Mathématique de France 2 Topology and its Applications 2 Applied Mathematics Letters 2 International Journal of Mathematics 2 Abstract and Applied Analysis 2 Boundary Value Problems 2 Tbilisi Mathematical Journal 2 Korean Journal of Mathematics 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Compositio Mathematica 1 Fasciculi Mathematici 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Science in China. Series A 1 The Journal of Geometric Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Finite Fields and their Applications 1 The Ramanujan Journal 1 Vietnam Journal of Mathematics 1 Honam Mathematical Journal 1 Journal of Inequalities and Applications 1 Algebras and Representation Theory 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis in Theory and Applications 1 Cubo 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Applied Mathematics & Informatics 1 Carpathian Mathematical Publications 1 Bulletin of Computational Applied Mathematics 1 Advances in Operator Theory all top 5 Cited in 29 Fields 86 Functions of a complex variable (30-XX) 61 Field theory and polynomials (12-XX) 53 Functional analysis (46-XX) 38 Number theory (11-XX) 16 Several complex variables and analytic spaces (32-XX) 12 Partial differential equations (35-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Operator theory (47-XX) 7 Real functions (26-XX) 6 Difference and functional equations (39-XX) 5 Algebraic geometry (14-XX) 3 Sequences, series, summability (40-XX) 3 Abstract harmonic analysis (43-XX) 2 Mathematical logic and foundations (03-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year