Edit Profile (opens in new tab) Shapiro, Michael V. Co-Author Distance Author ID: shapiro.michael-v Published as: Shapiro, Michael; Shapiro, M.; Shapiro, M. V.; Shapiro, Michael V. more...less External Links: MGP · ResearchGate · Math-Net.Ru Documents Indexed: 142 Publications since 1973, including 4 Books 5 Contributions as Editor Reviewing Activity: 185 Reviews Biographic References: 1 Publication Co-Authors: 52 Co-Authors with 125 Joint Publications 770 Co-Co-Authors all top 5 Co-Authors 12 single-authored 45 Luna-Elizarrarás, María Elena 16 Vasilevski, Nikolai Leonidovich 15 Alpay, Daniel Aron 13 Struppa, Daniele Carlo 10 Bory Reyes, Juan 8 Ramírez de Arellano, Enrique 7 Gerus, Oleg F. 7 Rocha-Chávez, Reynaldo 7 Sabadini, Irene 6 Abreu-Blaya, Ricardo 6 Kravchenko, Vladislav V. 6 Schneider, Baruch 6 Sommen, Franciscus 5 González-Cervantes, José Óscar 5 Macías-Cedeño, Marco A. 5 Tovar, Luis Manuel 4 Colombo, Fabrizio 4 Grudsky, Sergei Mikhailovich 4 Gürlebeck, Klaus 4 Latushkin, Yuri 4 Pérez-de La Rosa, Marco Antonio 4 Pérez-Regalado, Cesar Octavio 4 Vâjiac, Adrian I. 4 Volok, Dan 3 Balankin, Alexander S. 3 Correa-Romero, Flor de María 3 Pogorui, Anatoliy A. 3 Rodríguez-Dagnino, Ramón Martín 2 Brackx, Fred F. 2 De Schepper, Hennie 2 Delgado-Eckert, Edgar 2 Floyd, William J. 2 Kähler, Uwe 2 Kay, Leslie D. 2 Mitelman, Igor M. 2 Porter, R. Michael 2 Ramírez-Reyes, Francisco 2 Sprößig, Wolfgang 1 Bahmann, H. 1 Burman, Yurĭ M. 1 Cartwright, Donald I. 1 Dykman, Mark I. 1 Gentili, Graziano 1 Izrailev, Felix M. 1 Kaplan-Popov, Vassili 1 Karlovich, Yuri I. 1 Kolomiiets, Tamila Yu. 1 Kutrunov, Vladimir N. 1 López-Mimbela, José Alfredo 1 Luna E., M. Elena 1 Majzenberg, I. G. 1 Marmolejo-Olea, Emilio 1 Morais, João Pedro 1 Neumann, Max 1 Ovsienko, Valentin Yu. 1 Panza, Marco 1 Pérez-Esteva, Salvador 1 Rochon, Dominic 1 Rzedowski, Martha 1 Salinas, Norberto 1 Shpakivskyi, Vitalii Stanislavovich 1 Tarnopol’skaya, S. A. 1 Vajiac, Mihaela B. 1 Vinnikov, Victor L. 1 Yuditskii, Peter Meerovich all top 5 Serials 9 Mathematical Methods in the Applied Sciences 8 Complex Analysis and Operator Theory 7 Complex Variables. Theory and Application 7 Journal of Natural Geometry 6 Advances in Applied Clifford Algebras 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Integral Equations and Operator Theory 3 Complex Variables and Elliptic Equations 2 Ukrainian Mathematical Journal 2 Bulletin of Mathematical Biology 2 Siberian Mathematical Journal 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Acta Applicandae Mathematicae 2 Georgian Mathematical Journal 2 Analele Universității din Oradea. Fascicola Matematică 2 Advances in Geometry 2 Milan Journal of Mathematics 2 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 1 Israel Journal of Mathematics 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Physica A 1 Applied Mathematics and Computation 1 Journal of Functional Analysis 1 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 1 Matematički Vesnik 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Quarterly of Applied Mathematics 1 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 1 Chinese Annals of Mathematics. Series B 1 Journal of Physics A: Mathematical and General 1 Russian Mathematics 1 Russian Academy of Sciences. Doklady. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Fractals 1 The Electronic Journal of Combinatorics 1 Integral Transforms and Special Functions 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Matematicheskaya Fizika, Analiz, Geometriya 1 Doklady Mathematics 1 Proceedings of A. Razmadze Mathematical Institute 1 Moscow Mathematical Journal 1 Cubo 1 Aportaciones Matemáticas. Comunicaciones 1 Contemporary Mathematics 1 Pitman Research Notes in Mathematics Series 1 Chapman & Hall/CRC Research Notes in Mathematics 1 Electronic Research Announcements in Mathematical Sciences 1 Quantum Information & Computation 1 Analysis and Mathematical Physics 1 Springer INdAM Series 1 Operator Theory: Advances and Applications 1 Trends in Mathematics 1 Frontiers in Mathematics 1 SpringerBriefs in Mathematics all top 5 Fields 100 Functions of a complex variable (30-XX) 37 Operator theory (47-XX) 32 Several complex variables and analytic spaces (32-XX) 24 Partial differential equations (35-XX) 21 Functional analysis (46-XX) 11 Integral equations (45-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Quantum theory (81-XX) 5 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 5 Potential theory (31-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Optics, electromagnetic theory (78-XX) 4 Number theory (11-XX) 4 Biology and other natural sciences (92-XX) 3 Associative rings and algebras (16-XX) 2 Combinatorics (05-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 111 Publications have been cited 1,176 times in 551 Documents Cited by ▼ Year ▼ Integral representations for spatial models of mathematical physics. Zbl 0872.35001Kravchenko, V. V.; Shapiro, Michael V. 113 1996 On algebraic properties of bicomplex and hyperbolic numbers. Zbl 1114.11033Rochon, D.; Shapiro, M. 66 2004 Quaternionic \(\psi\)-hyperholomorphic functions, singular integral operators and boundary value problems. I: \(\psi\)-hyperholomorphic functions theory. Zbl 0847.30033Shapiro, M. V.; Vasilevski, N. L. 60 1995 Bicomplex holomorphic functions. The algebra, geometry and analysis of bicomplex numbers. Zbl 1345.30002Luna-Elizarrarás, M. Elena; Shapiro, Michael; Struppa, Daniele C.; Vajiac, Adrian 57 2015 On the structure of the set of zeros of quaternionic polynomials. Zbl 1160.30353Pogorui, A.; Shapiro, M. 50 2004 Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis. Zbl 1319.46001Alpay, Daniel; Luna-Elizarrarás, Maria Elena; Shapiro, Michael; Struppa, Daniele C. 50 2014 Differentiation of the Martinelli-Bochner integrals and the notion of hyperderivability. Zbl 0832.30028Mitelman, Igor M.; Shapiro, Michael V. 42 1995 Bicomplex numbers and their elementary functions. Zbl 1253.30070Luna-Elizarrarás, M. E.; Shapiro, M.; Struppa, D. C.; Vajiac, A. 32 2012 Integral theorems for functions and differential forms in \(C^m\). Zbl 0991.32002Rocha-Chávez, Reynaldo; Shapiro, Michael; Sommen, Franciscus 30 2002 Quaternionic \(\psi\)-hyperholomorphic functions, singular integral operators and boundary value problems. II: Algebras of singular integral operators and Riemann type boundary value problems. Zbl 0854.30034Shapiro, M. V.; Vasilevski, N. L. 29 1995 Rational hyperholomorphic functions in \(\mathbb R^4\). Zbl 1077.30044Alpay, Daniel; Shapiro, Michael; Volok, Dan 24 2005 Reproducing kernel quaternionic Pontryagin spaces. Zbl 1074.46017Alpay, Daniel; Shapiro, Michael 22 2004 On the Bergmann kernel function in hyperholomorphic analysis. Zbl 0877.30025Shapiro, Michael V.; Vasilevski, Nikolai L. 21 1997 On two approaches to the Bergman theory for slice regular functions. Zbl 1275.30020Colombo, Fabrizio; González-Cervantes, J. Oscar; Luna-Elizarrarás, Maria Elena; Sabadini, Irene; Shapiro, Michael 21 2013 A survey on the (hyper-) derivatives in complex, quaternionic and Clifford analysis. Zbl 1242.30042Luna-Elizarrarás, M. E.; Shapiro, M. 19 2011 Towards a physics on fractals: differential vector calculus in three-dimensional continuum with fractal metric. Zbl 1400.53075Balankin, Alexander S.; Bory-Reyes, Juan; Shapiro, Michael 18 2016 Helmholtz operator with a quaternionic wave number and associated function theory. II: Integral representations. Zbl 0790.30039Kravchenko, V. V.; Shapiro, M. V. 17 1993 On a class of integral representations related to the two-dimensional Helmholtz operator. Zbl 0907.30047Shapiro, Michael; Tovar, Luis Manuel 16 1998 On \({\mathbb{Q}}_ p\)-spaces of quaternion-valued functions. Zbl 1043.30030Gürlebeck, K.; Kähler, U.; Shapiro, M. V.; Tovar, L. M. 15 1999 On linear functionals and Hahn-Banach theorems for hyperbolic and bicomplex modules. Zbl 1308.30059Luna-Elizarrarás, M. E.; Perez-Regalado, C. O.; Shapiro, M. 15 2014 Reproducing kernel spaces of series of Fueter polynomials. Zbl 1107.46023Alpay, Daniel; Shapiro, Michael; Volok, Dan 14 2006 Complex Laplacian and derivatives of bicomplex functions. Zbl 1278.30052Luna-Elizarrarás, M. E.; Shapiro, M.; Struppa, D. C.; Vajiac, A. 14 2013 de Branges–Rovnyak spaces and Schur functions: The hyperholomorphic case. (Espaces de Branges Rovnyak et fonctions de Schur: Le cas hyper-analytique.) Zbl 1063.46019Alpay, Daniel; Shapiro, Michael; Volok, Dan 13 2004 On a Cauchy-type integral related to the Helmholtz operator in the plane. Zbl 1069.30077Gerus, Oleg F.; Shapiro, Michael 13 2004 Cantor-type sets in hyperbolic numbers. Zbl 1357.28008Balankin, A. S.; Bory-Reyes, J.; Luna-Elizarrarás, M. E.; Shapiro, M. 13 2016 Quaternionic time-harmonic Maxwell operator. Zbl 0869.35099Kravchenko, Vladislav V.; Shapiro, Michael V. 12 1995 On the Hilbert operator for \(\alpha\)-hyperholomorphic function theory in \({\mathbb{R}}^2\). Zbl 1026.44006Rocha-Chávez, R.; Shapiro, M. V.; Tovar Sánchez, L. M. 12 2000 On the Bergman kernel function in the Clifford analysis. Zbl 0835.30037Shapiro, Michael V.; Vasilevski, Nikolai L. 12 1993 On quaternionic analysis for the Schrödinger operator with a particular potential and its relation with the Mathieu functions. Zbl 1269.30056Luna-Elizarrarás, María Elena; La Rosa, Marco Antonio Pérez-De; Rodríguez-Dagnino, Ramón M.; Shapiro, Michael 12 2013 Rational functions and realization theory: The hyperholomorphic case. (Fonctions rationnelles et théorie de la réalisation: le cas hyper-analytique.) Zbl 1058.30041Alpay, Daniel; Schneider, Baruch; Shapiro, Michael; Volok, Dan 10 2003 Formulae of changing of integration order and of inversion for some multidimensional singular integrals and hypercomplex analysis. Zbl 0799.30038Mitelman, Igor M.; Shapiro, Michael V. 10 1994 On the \(\Pi\)-operator in hyperholomorphic function theory. Zbl 0947.30036Gürlebeck, K.; Kähler, U.; Shapiro, M. 10 1999 Two-dimensional Helmholtz operator and its hyperholomorphic solutions. Zbl 1076.30523Shapiro, Michael; Tovar, Luis Manuel 9 1997 Some properties of the Cauchy-type integral for the time harmonic Maxwell equations. Zbl 1020.30052Schneider, Baruch; Shapiro, Michael 9 2002 On the Laplacian vector fields theory in domains with rectifiable boundary. Zbl 1107.30035Abreu-Blaya, R.; Bory-Reyes, J.; Shapiro, M. 9 2006 On some categories and functors in the theory of quaternionic Bergman spaces. Zbl 1187.30045González-Cervantes, J. O.; Luna-Elizarrarás, M. E.; Shapiro, M. 9 2009 Hyperbolic numbers and their functions. Zbl 1289.30225Shapiro, M.; Struppa, D. C.; Vajiac, A.; Vajiac, M. B. 9 2012 The Clifford-Cauchy transform with a continuous density: N. Davydov’s theorem. Zbl 1130.30034Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Gerus, Oleg F.; Shapiro, Michael 8 2005 On the Hilbert operator and the Hilbert formulas on the unit sphere for the time-harmonic Maxwell equations. Zbl 1338.78011Pérez-de la Rosa, M. A.; Shapiro, M. 8 2014 Cluster algebras with Grassmann variables. Zbl 1442.13081Ovsienko, Valentin; Shapiro, MichaeL 8 2019 On boundary properties of \(\alpha\)-hyperholomorphic functions in domains of \(\mathbb R^2\) with piece-wise Liapunov boundary. Zbl 1284.30047Gerus, Oleg; Schneider, Baruch; Shapiro, Michael 8 2003 On the boundary values of a quaternionic generalization of the Cauchy-type integral in \(\mathbb{R}^2\) for rectifiable curves. Zbl 1246.30082Gerus, Oleg F.; Shapiro, Michael 7 2003 On the bicomplex Gleason-Kahane-Żelazko theorem. Zbl 1345.46042Luna-Elizarrarás, M. E.; Pérez-Regalado, C. O.; Shapiro, M. 7 2016 Hyperholomorphic rational functions: the Clifford analysis case. Zbl 1125.30041Alpay, D.; Correa-Romero, F. M.; Luna-Elizarrarás, M. E.; Shapiro, M. 7 2007 On the Bergman theory for solenoidal and irrotational vector fields. I: General theory. Zbl 1254.32006González-Cervantes, José Oscar; Luna-Elizarrarás, María Elena; Shapiro, Michael 7 2010 On the spectra of some integral operators related to the potential theory in the plane. Zbl 1213.47052Gerus, Oleg F.; Kutrunov, Vladimir N.; Shapiro, Michael 7 2010 On boundary properties of metaharmonic simple and double layer potentials on rectifiable curves in \(\mathbb{R}^2\). Zbl 1199.30263Gerus, O. F.; Shapiro, M. 7 2004 On some boundary-value problems for functions with values in Clifford algebra. Zbl 0697.30050Shapiro, M. V. 7 1988 On some analogues of the Hilbert formulas on the unit sphere for solenoidal and irrotational vector fields. Zbl 1289.81011Luna-Elizarrarás, Maria Elena; Pérez-de La Rosa, Marco Antonio; Shapiro, Michael 7 2013 Hyperholomorphic Bergman spaces and Bergman operators associated with domains in \(\mathbb C^2\). Zbl 1159.30030González-Cervantes, José Óscar; Shapiro, Michael 6 2008 On the notion of the Bochner-Martinelli integral for domains with rectifiable boundary. Zbl 1178.32001Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Shapiro, Michael 6 2007 A quaternionic treatment of the inhomogeneous div-rot system. Zbl 1255.47049Colombo, F.; Luna-Elizarrarás, M. E.; Sabadini, I.; Shapiro, M.; Struppa, D. C. 6 2012 Helmholtz operator with a quaternionic wave number and associated function theory. Zbl 0831.30030Kravchenko, V. V.; Shapiro, M. V. 6 1994 Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras. Zbl 1320.35015Pogorui, Anatoliy; Rodríguez-Dagnino, Ramón M.; Shapiro, Michael 6 2014 On the singular Bochner-Martinelli integral. Zbl 0926.32006Rocha-Chávez, R.; Shapiro, M.; Sommen, F. 5 1998 Quaternionic analysis and some conventional theories. Zbl 1330.30007Shapiro, Michael 5 2015 On a version of quaternionic function theory related to Chebyshev polynomials and modified Sturm-Liouville operators. Zbl 1356.30029Luna-Elizarrarás, M. E.; Morais, J.; Pérez-de la Rosa, M. A.; Shapiro, M. 5 2016 On a modified Teodorescu transform. Zbl 1022.44003Bahmann, H.; Gürlebeck, K.; Shapiro, M.; Sprössig, W. 5 2001 Gleason’s problem and tangential homogeneous interpolation for hyperholomorphic quaternionic functions. Zbl 1059.30041Alpay, D.; Shapiro, M. 5 2003 On Clifford analysis for holomorphic mappings. Zbl 1293.30089Luna-Elizarrarás, M. E.; Shapiro, M.; Struppa, D. C. 5 2014 On a Teodorescu transform for a class of metaharmonic functions. Zbl 0999.30032Gürlebeck, K.; Shapiro, M.; Sprössig, W. 5 2002 On a version of quaternionic function theory related to Mathieu functions. Zbl 1152.30334Luna-Elizarrarás, María Elena; Rodríguez-Dagnino, Ramón M.; Shapiro, Michael 5 2007 Clifford analysis versus its quaternionic counterparts. Zbl 1201.30070Reyes, Juan Bory; Shapiro, Michael 5 2010 On the Bergman theory for solenoidal and irrotational vector fields. II. Conformal covariance and invariance of the main objects. Zbl 1232.37013González-Cervantes, J. Oscar; Luna-Elizarrarás, M. E.; Shapiro, M. 5 2011 Preservation of the norms of linear operators acting on some quaternionic function spaces. Zbl 1090.47005Luna-Elizarrarás, M. Elena; Shapiro, Michael 4 2005 Gleason’s problem and interpolation for hyperholomorphic functions). (Problème de Gleason et interpolation pour les fonctions hyper-analytiques.) Zbl 1039.30026Alpay, Daniel; Shapiro, Michael 4 2002 Quaternionic differential and integral operators and the \(\bar \partial\)- problem. Zbl 0810.30040Porter, R. Michael; Shapiro, Michael; Vasilevski, Nikolai 4 1994 \(\overline \partial\)-problem in domains of \(\mathbb C^2\) in terms of hyper-conjugate harmonic functions. Zbl 1252.30032Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Luna-Elizarrarás, María Elena; Shapiro, Michael 4 2012 Hyperderivatives in Clifford analysis and some applications to the Cliffordian Cauchy-type integrals. Zbl 1182.30087Luna-Elizarrarás, M. E.; Macías-Cedeño, M. A.; Shapiro, M. 4 2009 Algebraic analysis of the Moisil-Theodorescu system. Zbl 1020.30056Sabadini, Irene; Shapiro, Michael V.; Struppa, Daniele C. 4 2000 Kolmogorov’s axioms for probabilities with values in hyperbolic numbers. Zbl 1388.60011Alpay, Daniel; Luna-Elizarrarás, M. Elena; Shapiro, Michael 4 2017 On the Laurent series for bicomplex holomorphic functions. Zbl 1375.30077Luna-Elizarrarás, M. E.; Pérez-Regalado, C. O.; Shapiro, M. 4 2017 On fundamental solutions in Clifford analysis. Zbl 1291.30247Brackx, F.; De Schepper, H.; Luna-Elizarrarás, M. E.; Shapiro, M. 4 2012 Hyperbolic buildings, affine buildings, and automatic groups. Zbl 0852.51010Cartwright, Donald I.; Shapiro, Michael 4 1995 On the hyperderivatives of Moisil-Théodoresco hyperholomorphic functions. Zbl 1220.30070Luna-Elizarrarás, M. Elena; Macías-Cedeño, Marco A.; Shapiro, Michael 4 2011 Gleason’s problem, rational functions and spaces of left-regular functions: the split-quaternion setting. Zbl 1405.30050Alpay, Daniel; Luna-Elizarrarás, María E.; Shapiro, Michael; Struppa, Daniele 4 2018 Some properties of the quaternionic Cauchy-type integral for a piece-wise Lyapunov surface of integration. Zbl 1081.30042Schneider, Baruch; Shapiro, Michael 3 2004 Norms of quaternionic extensions of real operators. (Normes des extensions quaternionique d’opérateurs réels.) Zbl 1072.47009Alpay, Daniel; Luna-Elizarrarás, Maria-Elena; Shapiro, Michael 3 2005 On analogies of the Riemann boundary value problem for a class of hyperholomorphic functions. Zbl 0900.31005Shapiro, Michael V. 3 1991 Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13–18, 2007. Zbl 1159.30003 3 2009 Modules of solutions of the Helmholtz equation arising from eigenfunctions of the Dirac operator. Zbl 1119.35072Marmolejo-Olea, Emilio; Pérez-Esteva, Salvador; Shapiro, Michael 3 2005 On the conjugate harmonic functions of M. Riesz-E. Stein-G. Weiss. Zbl 0886.31001Shapiro, M. 3 1997 On the norms of quaternionic extensions of real and complex linear mappings. Zbl 1125.47005Alpay, Daniel; Luna-Elizarrarás, M. Elena; Shapiro, Michael 3 2007 Finding the probability of infection in an SIR network is NP-hard. Zbl 1316.92093Shapiro, Michael; Delgado-Eckert, Edgar 3 2012 On some relations between real, complex and quaternionic linear spaces. Zbl 1183.15016Luna-Elizarrarás, M. E.; Shapiro, M. 3 2009 On the analogue of the \(\overline {\partial}\)-problem in quaternionic analysis. Zbl 0834.30031Porter, R. Michael; Shapiro, Michael V.; Vasilevski, Nikolai L. 3 1993 On the structure of the Taylor series in Clifford and quaternionic analysis. Zbl 1250.30046Alpay, Daniel; Correa-Romero, Flor de María; Luna-Elizarrarás, María Elena; Shapiro, Michael 3 2011 Complexifications of real spaces: general aspects. Zbl 1255.46010Luna-Elizarrarás, María Elena; Ramírez-Reyes, Francisco; Shapiro, Michael 3 2012 On the hyperderivatives of Dirac-hyperholomorphic functions of Clifford analysis. Zbl 1253.30071Luna-Elizarrarás, M. Elena; Macías-Cedeño, Marco A.; Shapiro, Michael 3 2012 On singular integrals of the time-harmonic Maxwell equations theory. Zbl 0920.35152Rocha-Chávez, Reynaldo; Shapiro, Michael 3 1999 On integral representations and boundary properties of spinor fields. Zbl 0860.35105Kravchenko, V. V.; Ramírez de Arellano, Enrique; Shapiro, Michael V. 2 1996 Some properties of the Cauchy-type integral for the time-harmonic relativistic Dirac equation. Zbl 1016.81018Schneider, Baruch; Shapiro, Michael 2 2002 On singular integrals of the time-harmonic relativistic Dirac bispinors theory. Zbl 1105.30038Rocha-Chávez, R.; Shapiro, M. 2 2001 Some elementary properties of SIR networks or, Can I get sick because you got vaccinated? Zbl 1142.92037Floyd, William; Kay, Leslie; Shapiro, Michael 2 2008 Singuläre Integraloperatoren mit Carlemanscher Verschiebung in bewichteten Hölderräumen. Zbl 0277.45009Shapiro, M. V. 2 1973 On the algebra generated by singular integral operators with a Carleman shift in the case of piecewise continuous coefficients. Zbl 0342.47027Vasilevskij, N. L.; Shapiro, M. V. 2 1975 Cauchy type integral in bicomplex setting and its properties. Zbl 1445.30022Bory-Reyes, Juan; Pérez-Regalado, Cesar Octavio; Shapiro, Michael 2 2019 The hyperholomorphic Bergman projector and its properties. Zbl 0856.30038Ramírez de Arellano, Enrique; Shapiro, Michael V.; Vasilevski, Nikolai L. 2 1996 Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers. Zbl 1445.30025Luna-Elizarrarás, M. Elena; Shapiro, Michael; Balankin, Alexander 2 2020 Some properties of the Cauchy-type integral for the Laplace vector fields theory. Zbl 1120.30039Schneider, Baruch; Shapiro, Michael 1 2004 Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers. Zbl 1445.30025Luna-Elizarrarás, M. Elena; Shapiro, Michael; Balankin, Alexander 2 2020 Cluster algebras with Grassmann variables. Zbl 1442.13081Ovsienko, Valentin; Shapiro, MichaeL 8 2019 Cauchy type integral in bicomplex setting and its properties. Zbl 1445.30022Bory-Reyes, Juan; Pérez-Regalado, Cesar Octavio; Shapiro, Michael 2 2019 On the Hausdorff analyticity for quaternion-valued functions. Zbl 1479.30040Luna-Elizarrarás, M. E.; Shapiro, M.; Shpakivskyi, V. 1 2019 Gleason’s problem, rational functions and spaces of left-regular functions: the split-quaternion setting. Zbl 1405.30050Alpay, Daniel; Luna-Elizarrarás, María E.; Shapiro, Michael; Struppa, Daniele 4 2018 Kolmogorov’s axioms for probabilities with values in hyperbolic numbers. Zbl 1388.60011Alpay, Daniel; Luna-Elizarrarás, M. Elena; Shapiro, Michael 4 2017 On the Laurent series for bicomplex holomorphic functions. Zbl 1375.30077Luna-Elizarrarás, M. E.; Pérez-Regalado, C. O.; Shapiro, M. 4 2017 Towards a physics on fractals: differential vector calculus in three-dimensional continuum with fractal metric. Zbl 1400.53075Balankin, Alexander S.; Bory-Reyes, Juan; Shapiro, Michael 18 2016 Cantor-type sets in hyperbolic numbers. Zbl 1357.28008Balankin, A. S.; Bory-Reyes, J.; Luna-Elizarrarás, M. E.; Shapiro, M. 13 2016 On the bicomplex Gleason-Kahane-Żelazko theorem. Zbl 1345.46042Luna-Elizarrarás, M. E.; Pérez-Regalado, C. O.; Shapiro, M. 7 2016 On a version of quaternionic function theory related to Chebyshev polynomials and modified Sturm-Liouville operators. Zbl 1356.30029Luna-Elizarrarás, M. E.; Morais, J.; Pérez-de la Rosa, M. A.; Shapiro, M. 5 2016 Bicomplex holomorphic functions. The algebra, geometry and analysis of bicomplex numbers. Zbl 1345.30002Luna-Elizarrarás, M. Elena; Shapiro, Michael; Struppa, Daniele C.; Vajiac, Adrian 57 2015 Quaternionic analysis and some conventional theories. Zbl 1330.30007Shapiro, Michael 5 2015 Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis. Zbl 1319.46001Alpay, Daniel; Luna-Elizarrarás, Maria Elena; Shapiro, Michael; Struppa, Daniele C. 50 2014 On linear functionals and Hahn-Banach theorems for hyperbolic and bicomplex modules. Zbl 1308.30059Luna-Elizarrarás, M. E.; Perez-Regalado, C. O.; Shapiro, M. 15 2014 On the Hilbert operator and the Hilbert formulas on the unit sphere for the time-harmonic Maxwell equations. Zbl 1338.78011Pérez-de la Rosa, M. A.; Shapiro, M. 8 2014 Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras. Zbl 1320.35015Pogorui, Anatoliy; Rodríguez-Dagnino, Ramón M.; Shapiro, Michael 6 2014 On Clifford analysis for holomorphic mappings. Zbl 1293.30089Luna-Elizarrarás, M. E.; Shapiro, M.; Struppa, D. C. 5 2014 On two approaches to the Bergman theory for slice regular functions. Zbl 1275.30020Colombo, Fabrizio; González-Cervantes, J. Oscar; Luna-Elizarrarás, Maria Elena; Sabadini, Irene; Shapiro, Michael 21 2013 Complex Laplacian and derivatives of bicomplex functions. Zbl 1278.30052Luna-Elizarrarás, M. E.; Shapiro, M.; Struppa, D. C.; Vajiac, A. 14 2013 On quaternionic analysis for the Schrödinger operator with a particular potential and its relation with the Mathieu functions. Zbl 1269.30056Luna-Elizarrarás, María Elena; La Rosa, Marco Antonio Pérez-De; Rodríguez-Dagnino, Ramón M.; Shapiro, Michael 12 2013 On some analogues of the Hilbert formulas on the unit sphere for solenoidal and irrotational vector fields. Zbl 1289.81011Luna-Elizarrarás, Maria Elena; Pérez-de La Rosa, Marco Antonio; Shapiro, Michael 7 2013 Advances in hypercomplex analysis. Based on the INdAM workshop on different notions of regularity for functions of a quaternionic variable, Rome, Italy, September 13–17, 2010. Zbl 1253.30004 1 2013 Bicomplex numbers and their elementary functions. Zbl 1253.30070Luna-Elizarrarás, M. E.; Shapiro, M.; Struppa, D. C.; Vajiac, A. 32 2012 Hyperbolic numbers and their functions. Zbl 1289.30225Shapiro, M.; Struppa, D. C.; Vajiac, A.; Vajiac, M. B. 9 2012 A quaternionic treatment of the inhomogeneous div-rot system. Zbl 1255.47049Colombo, F.; Luna-Elizarrarás, M. E.; Sabadini, I.; Shapiro, M.; Struppa, D. C. 6 2012 \(\overline \partial\)-problem in domains of \(\mathbb C^2\) in terms of hyper-conjugate harmonic functions. Zbl 1252.30032Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Luna-Elizarrarás, María Elena; Shapiro, Michael 4 2012 On fundamental solutions in Clifford analysis. Zbl 1291.30247Brackx, F.; De Schepper, H.; Luna-Elizarrarás, M. E.; Shapiro, M. 4 2012 Finding the probability of infection in an SIR network is NP-hard. Zbl 1316.92093Shapiro, Michael; Delgado-Eckert, Edgar 3 2012 Complexifications of real spaces: general aspects. Zbl 1255.46010Luna-Elizarrarás, María Elena; Ramírez-Reyes, Francisco; Shapiro, Michael 3 2012 On the hyperderivatives of Dirac-hyperholomorphic functions of Clifford analysis. Zbl 1253.30071Luna-Elizarrarás, M. Elena; Macías-Cedeño, Marco A.; Shapiro, Michael 3 2012 The Teodorescu operator in Clifford analysis. Zbl 1254.30080Brackx, F.; De Schepper, H.; Luna-Elizarrarás, M. E.; Shapiro, M. 1 2012 A covering-graph approach to epidemics on SIS and SIS-like networks. Zbl 1238.92040Floyd, William; Kay, Leslie; Shapiro, Michael 1 2012 A survey on the (hyper-) derivatives in complex, quaternionic and Clifford analysis. Zbl 1242.30042Luna-Elizarrarás, M. E.; Shapiro, M. 19 2011 On the Bergman theory for solenoidal and irrotational vector fields. II. Conformal covariance and invariance of the main objects. Zbl 1232.37013González-Cervantes, J. Oscar; Luna-Elizarrarás, M. E.; Shapiro, M. 5 2011 On the hyperderivatives of Moisil-Théodoresco hyperholomorphic functions. Zbl 1220.30070Luna-Elizarrarás, M. Elena; Macías-Cedeño, Marco A.; Shapiro, Michael 4 2011 On the structure of the Taylor series in Clifford and quaternionic analysis. Zbl 1250.30046Alpay, Daniel; Correa-Romero, Flor de María; Luna-Elizarrarás, María Elena; Shapiro, Michael 3 2011 On the Bergman theory for solenoidal and irrotational vector fields. I: General theory. Zbl 1254.32006González-Cervantes, José Oscar; Luna-Elizarrarás, María Elena; Shapiro, Michael 7 2010 On the spectra of some integral operators related to the potential theory in the plane. Zbl 1213.47052Gerus, Oleg F.; Kutrunov, Vladimir N.; Shapiro, Michael 7 2010 Clifford analysis versus its quaternionic counterparts. Zbl 1201.30070Reyes, Juan Bory; Shapiro, Michael 5 2010 On some categories and functors in the theory of quaternionic Bergman spaces. Zbl 1187.30045González-Cervantes, J. O.; Luna-Elizarrarás, M. E.; Shapiro, M. 9 2009 Hyperderivatives in Clifford analysis and some applications to the Cliffordian Cauchy-type integrals. Zbl 1182.30087Luna-Elizarrarás, M. E.; Macías-Cedeño, M. A.; Shapiro, M. 4 2009 Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13–18, 2007. Zbl 1159.30003 3 2009 On some relations between real, complex and quaternionic linear spaces. Zbl 1183.15016Luna-Elizarrarás, M. E.; Shapiro, M. 3 2009 On the derivatives of quaternionic functions along two-dimensional planes. Zbl 1171.30024Luna-Elizarrarás, M. E.; Macías-Cedeño, M. A.; Shapiro, M. 1 2009 Hyperholomorphic Bergman spaces and Bergman operators associated with domains in \(\mathbb C^2\). Zbl 1159.30030González-Cervantes, José Óscar; Shapiro, Michael 6 2008 Some elementary properties of SIR networks or, Can I get sick because you got vaccinated? Zbl 1142.92037Floyd, William; Kay, Leslie; Shapiro, Michael 2 2008 Hyperholomorphic rational functions: the Clifford analysis case. Zbl 1125.30041Alpay, D.; Correa-Romero, F. M.; Luna-Elizarrarás, M. E.; Shapiro, M. 7 2007 On the notion of the Bochner-Martinelli integral for domains with rectifiable boundary. Zbl 1178.32001Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Shapiro, Michael 6 2007 On a version of quaternionic function theory related to Mathieu functions. Zbl 1152.30334Luna-Elizarrarás, María Elena; Rodríguez-Dagnino, Ramón M.; Shapiro, Michael 5 2007 On the norms of quaternionic extensions of real and complex linear mappings. Zbl 1125.47005Alpay, Daniel; Luna-Elizarrarás, M. Elena; Shapiro, Michael 3 2007 The Cauchy transform for the Hodge/de Rham system and some of its properties. Zbl 1219.30018Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Shapiro, Michael 1 2007 A new characterization of a class of pseudoconvex domains in \(\mathbb C^2\). Zbl 1153.32022Colombo, Fabrizio; Luna-Elizarrarás, M. Elena; Sabadini, Irene; Shapiro, Michael; Struppa, Daniele C. 1 2007 On relations between the derivative and the two-dimensional directional derivatives of a quaternionic function. Zbl 1152.30333Luna-Elizarrarás, M. E.; Macías-Cedeño, M. A.; Shapiro, M. 1 2007 Reproducing kernel spaces of series of Fueter polynomials. Zbl 1107.46023Alpay, Daniel; Shapiro, Michael; Volok, Dan 14 2006 On the Laplacian vector fields theory in domains with rectifiable boundary. Zbl 1107.30035Abreu-Blaya, R.; Bory-Reyes, J.; Shapiro, M. 9 2006 Rational functions and Gleason’s problem associated to Dirac’s operator. (Fonctions rationnelles et problème de Gleason associés à l’opérateur de Dirac). Zbl 1112.30035Alpay, Daniel; de María Correa-Romero, Flor; Luna-Elizarrarás, María Elena; Shapiro, Michael 1 2006 Rational hyperholomorphic functions in \(\mathbb R^4\). Zbl 1077.30044Alpay, Daniel; Shapiro, Michael; Volok, Dan 24 2005 The Clifford-Cauchy transform with a continuous density: N. Davydov’s theorem. Zbl 1130.30034Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Gerus, Oleg F.; Shapiro, Michael 8 2005 Preservation of the norms of linear operators acting on some quaternionic function spaces. Zbl 1090.47005Luna-Elizarrarás, M. Elena; Shapiro, Michael 4 2005 Norms of quaternionic extensions of real operators. (Normes des extensions quaternionique d’opérateurs réels.) Zbl 1072.47009Alpay, Daniel; Luna-Elizarrarás, Maria-Elena; Shapiro, Michael 3 2005 Modules of solutions of the Helmholtz equation arising from eigenfunctions of the Dirac operator. Zbl 1119.35072Marmolejo-Olea, Emilio; Pérez-Esteva, Salvador; Shapiro, Michael 3 2005 On-site localization of excitations. Zbl 1213.81069Dykman, M. I.; Santos, L. F.; Shapiro, M.; Izrailev, F. M. 1 2005 On algebraic properties of bicomplex and hyperbolic numbers. Zbl 1114.11033Rochon, D.; Shapiro, M. 66 2004 On the structure of the set of zeros of quaternionic polynomials. Zbl 1160.30353Pogorui, A.; Shapiro, M. 50 2004 Reproducing kernel quaternionic Pontryagin spaces. Zbl 1074.46017Alpay, Daniel; Shapiro, Michael 22 2004 de Branges–Rovnyak spaces and Schur functions: The hyperholomorphic case. (Espaces de Branges Rovnyak et fonctions de Schur: Le cas hyper-analytique.) Zbl 1063.46019Alpay, Daniel; Shapiro, Michael; Volok, Dan 13 2004 On a Cauchy-type integral related to the Helmholtz operator in the plane. Zbl 1069.30077Gerus, Oleg F.; Shapiro, Michael 13 2004 On boundary properties of metaharmonic simple and double layer potentials on rectifiable curves in \(\mathbb{R}^2\). Zbl 1199.30263Gerus, O. F.; Shapiro, M. 7 2004 Some properties of the quaternionic Cauchy-type integral for a piece-wise Lyapunov surface of integration. Zbl 1081.30042Schneider, Baruch; Shapiro, Michael 3 2004 Some properties of the Cauchy-type integral for the Laplace vector fields theory. Zbl 1120.30039Schneider, Baruch; Shapiro, Michael 1 2004 Rational functions and realization theory: The hyperholomorphic case. (Fonctions rationnelles et théorie de la réalisation: le cas hyper-analytique.) Zbl 1058.30041Alpay, Daniel; Schneider, Baruch; Shapiro, Michael; Volok, Dan 10 2003 On boundary properties of \(\alpha\)-hyperholomorphic functions in domains of \(\mathbb R^2\) with piece-wise Liapunov boundary. Zbl 1284.30047Gerus, Oleg; Schneider, Baruch; Shapiro, Michael 8 2003 On the boundary values of a quaternionic generalization of the Cauchy-type integral in \(\mathbb{R}^2\) for rectifiable curves. Zbl 1246.30082Gerus, Oleg F.; Shapiro, Michael 7 2003 Gleason’s problem and tangential homogeneous interpolation for hyperholomorphic quaternionic functions. Zbl 1059.30041Alpay, D.; Shapiro, M. 5 2003 Integral theorems for functions and differential forms in \(C^m\). Zbl 0991.32002Rocha-Chávez, Reynaldo; Shapiro, Michael; Sommen, Franciscus 30 2002 Some properties of the Cauchy-type integral for the time harmonic Maxwell equations. Zbl 1020.30052Schneider, Baruch; Shapiro, Michael 9 2002 On a Teodorescu transform for a class of metaharmonic functions. Zbl 0999.30032Gürlebeck, K.; Shapiro, M.; Sprössig, W. 5 2002 Gleason’s problem and interpolation for hyperholomorphic functions). (Problème de Gleason et interpolation pour les fonctions hyper-analytiques.) Zbl 1039.30026Alpay, Daniel; Shapiro, Michael 4 2002 Some properties of the Cauchy-type integral for the time-harmonic relativistic Dirac equation. Zbl 1016.81018Schneider, Baruch; Shapiro, Michael 2 2002 On a modified Teodorescu transform. Zbl 1022.44003Bahmann, H.; Gürlebeck, K.; Shapiro, M.; Sprössig, W. 5 2001 On singular integrals of the time-harmonic relativistic Dirac bispinors theory. Zbl 1105.30038Rocha-Chávez, R.; Shapiro, M. 2 2001 On the Hilbert operator for \(\alpha\)-hyperholomorphic function theory in \({\mathbb{R}}^2\). Zbl 1026.44006Rocha-Chávez, R.; Shapiro, M. V.; Tovar Sánchez, L. M. 12 2000 Algebraic analysis of the Moisil-Theodorescu system. Zbl 1020.30056Sabadini, Irene; Shapiro, Michael V.; Struppa, Daniele C. 4 2000 On \({\mathbb{Q}}_ p\)-spaces of quaternion-valued functions. Zbl 1043.30030Gürlebeck, K.; Kähler, U.; Shapiro, M. V.; Tovar, L. M. 15 1999 On the \(\Pi\)-operator in hyperholomorphic function theory. Zbl 0947.30036Gürlebeck, K.; Kähler, U.; Shapiro, M. 10 1999 On singular integrals of the time-harmonic Maxwell equations theory. Zbl 0920.35152Rocha-Chávez, Reynaldo; Shapiro, Michael 3 1999 On a class of integral representations related to the two-dimensional Helmholtz operator. Zbl 0907.30047Shapiro, Michael; Tovar, Luis Manuel 16 1998 On the singular Bochner-Martinelli integral. Zbl 0926.32006Rocha-Chávez, R.; Shapiro, M.; Sommen, F. 5 1998 On the Bergmann kernel function in hyperholomorphic analysis. Zbl 0877.30025Shapiro, Michael V.; Vasilevski, Nikolai L. 21 1997 Two-dimensional Helmholtz operator and its hyperholomorphic solutions. Zbl 1076.30523Shapiro, Michael; Tovar, Luis Manuel 9 1997 On the conjugate harmonic functions of M. Riesz-E. Stein-G. Weiss. Zbl 0886.31001Shapiro, M. 3 1997 Integral representations for spatial models of mathematical physics. Zbl 0872.35001Kravchenko, V. V.; Shapiro, Michael V. 113 1996 On integral representations and boundary properties of spinor fields. Zbl 0860.35105Kravchenko, V. V.; Ramírez de Arellano, Enrique; Shapiro, Michael V. 2 1996 The hyperholomorphic Bergman projector and its properties. Zbl 0856.30038Ramírez de Arellano, Enrique; Shapiro, Michael V.; Vasilevski, Nikolai L. 2 1996 Quaternionic \(\psi\)-hyperholomorphic functions, singular integral operators and boundary value problems. I: \(\psi\)-hyperholomorphic functions theory. Zbl 0847.30033Shapiro, M. V.; Vasilevski, N. L. 60 1995 Differentiation of the Martinelli-Bochner integrals and the notion of hyperderivability. Zbl 0832.30028Mitelman, Igor M.; Shapiro, Michael V. 42 1995 Quaternionic \(\psi\)-hyperholomorphic functions, singular integral operators and boundary value problems. II: Algebras of singular integral operators and Riemann type boundary value problems. Zbl 0854.30034Shapiro, M. V.; Vasilevski, N. L. 29 1995 Quaternionic time-harmonic Maxwell operator. Zbl 0869.35099Kravchenko, Vladislav V.; Shapiro, Michael V. 12 1995 Hyperbolic buildings, affine buildings, and automatic groups. Zbl 0852.51010Cartwright, Donald I.; Shapiro, Michael 4 1995 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 431 Authors 71 Bory Reyes, Juan 54 Abreu-Blaya, Ricardo 43 Alpay, Daniel Aron 43 Shapiro, Michael V. 32 Sabadini, Irene 28 Colombo, Fabrizio 28 Luna-Elizarrarás, María Elena 21 Morais, João Pedro 20 De Schepper, Hennie 20 González-Cervantes, José Óscar 20 Struppa, Daniele Carlo 19 Gürlebeck, Klaus 19 Pérez-de La Rosa, Marco Antonio 18 Brackx, Fred F. 18 Sommen, Franciscus 15 Schneider, Baruch 14 Kähler, Uwe 14 Kraußhar, Rolf Sören 12 Bock, Sebastian 12 Kravchenko, Vladislav V. 11 Balankin, Alexander S. 10 Constales, Denis 10 Gentili, Graziano 10 Peña Peña, Dixan 9 Perotti, Alessandro 9 Rodríguez-Dagnino, Ramón Martín 9 Shpakivskyi, Vitalii Stanislavovich 8 Rochon, Dominic 8 Soucek, Vladimir 8 Vajiac, Mihaela B. 7 Adán, Alí Guzmán 7 Ahmed, Ahmed El-Sayed 7 Kou, Kit-Ian 7 Stoppato, Caterina 7 Vâjiac, Adrian I. 6 Bernstein, Swanhild 6 Cerejeiras, Paula 6 Delanghe, Richard 6 Ghanmi, Allal 6 Kimsey, David Patrick 6 Lávička, Roman 6 Pogorui, Anatoliy A. 5 Cação, Isabel 5 Diki, Kamal 5 González-Campos, Daniel 5 Grob, Dennis 5 Kumar Datta, Sanjib 5 Kumar, Romesh 5 Moreno García, Tania 5 Ren, Guangbin 5 Saǧir, Birsen 5 Sprößig, Wolfgang 5 Volok, Dan 5 Wang, Liping 4 Bolotnikov, Vladimir 4 Charak, Kuldeep Singh 4 Eelbode, David 4 Falcão, Maria Irene 4 Gu, Longfei 4 Jørgensen, Palle E. T. 4 Lewkowicz, Izchak 4 Malonek, Helmuth Robert 4 Opfer, Gerhard 4 Peña Pérez, Yudier 4 Porter, R. Michael 4 Santiesteban, Daniel Alfonso 4 Szynal-Liana, Anetta 4 Weberszpil, Jose 4 Włoch, Iwona 3 Árciga Alejandre, Martín Patricio 3 Ávila-Ávila, Rafael 3 Bród, Dorota 3 Campos, Hugo M. 3 Chen, Lin 3 Chen, Wen 3 Cheng, Dong 3 Correa-Romero, Flor de María 3 De Knock, Bram 3 Değirmen, Nilay 3 Elgourari, Aiad 3 Gantner, Jonathan 3 Ghiloni, Riccardo 3 Ghosh, Chinmay 3 Gürses, Nurten 3 Janovská, Drahoslava 3 Kolomiiets, Tamila Yu. 3 Kumar, Sanjay 3 Liang, Yingjie 3 Liang, Yuxia 3 Liu, Mingsheng 3 Mierzejewski, Dmytro A. 3 Nguyen, Hung Manh 3 Parisé, Pierre-Olivier 3 Patiño-Ortiz, Julián 3 Patiño-Ortiz, Miguel 3 Pérez-Regalado, Cesar Octavio 3 Reséndis Ocampo, Lino Feliciano 3 Saha, Jayanta K. 3 Saini, Heera 3 Sarkar, Rakesh ...and 331 more Authors all top 5 Cited in 140 Serials 104 Advances in Applied Clifford Algebras 44 Mathematical Methods in the Applied Sciences 36 Complex Analysis and Operator Theory 26 Complex Variables and Elliptic Equations 22 Journal of Mathematical Analysis and Applications 16 Journal of Mathematical Sciences (New York) 12 Applied Mathematics and Computation 12 Zeitschrift für Analysis und ihre Anwendungen 10 Fractals 10 Computational Methods and Function Theory 8 Comptes Rendus. 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Electronic Transactions on Numerical Analysis 1 Engineering Analysis with Boundary Elements 1 Nonlinear Dynamics 1 Honam Mathematical Journal 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics ...and 40 more Serials all top 5 Cited in 52 Fields 380 Functions of a complex variable (30-XX) 87 Partial differential equations (35-XX) 71 Operator theory (47-XX) 63 Functional analysis (46-XX) 50 Several complex variables and analytic spaces (32-XX) 38 Number theory (11-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 23 Measure and integration (28-XX) 22 Potential theory (31-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 17 Numerical analysis (65-XX) 16 Quantum theory (81-XX) 15 Real functions (26-XX) 14 Integral equations (45-XX) 13 Special functions (33-XX) 13 Optics, electromagnetic theory (78-XX) 12 Field theory and polynomials (12-XX) 12 Associative rings and algebras (16-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Differential geometry (53-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Probability theory and stochastic processes (60-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Ordinary differential equations (34-XX) 8 Approximations and expansions (41-XX) 7 Integral transforms, operational calculus (44-XX) 7 Fluid mechanics (76-XX) 6 General topology (54-XX) 5 Commutative algebra (13-XX) 5 Mechanics of deformable solids (74-XX) 5 Relativity and gravitational theory (83-XX) 4 Systems theory; control (93-XX) 3 Group theory and generalizations (20-XX) 3 Abstract harmonic analysis (43-XX) 3 Geometry (51-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Nonassociative rings and algebras (17-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of particles and systems (70-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX) Citations by Year