Edit Profile (opens in new tab) Carroll, Robert Wayne (b. 1930 d. 2012) Co-Author Distance Author ID: carroll.robert-w Published as: Carroll, Robert W.; Carroll, Robert; Carroll, R. more...less External Links: MGP · arXiv Documents Indexed: 178 Publications since 1958, including 12 Books and 15 Additional arXiv Preprints Reviewing Activity: 30 Reviews Biographic References: 1 Publication Co-Authors: 27 Co-Authors with 39 Joint Publications 423 Co-Co-Authors all top 5 Co-Authors 138 single-authored 8 Santosa, Fadil N. 3 Silver, Howard I. 2 Boumenir, Amin A. 2 Cooper, Jeffery M. 2 Dolzycki, Stanley 2 Gilbert, John E. 2 Kodama, Yuji 2 Konopelchenko, Boris Georgievich 2 Neuwirth, Jérome 2 State, Émile 1 Berkopec, T. 1 Bu, Qiyue 1 Chang, Jen-Hsu 1 Delic, George 1 Duff, George Francis Denton 1 Folguera, Alejandro 1 Friberg, Jöran 1 Glick, A. J. 1 Gobert, Jules 1 Grisvard, Pierre 1 Mahgoub, H. 1 Mazumdar, Tapas 1 Nečas, Jindřich 1 Oharu, Shinnosuke 1 Raphael, Louise A. 1 Seeley, Robert Thomas 1 Wang, Chung-Lie all top 5 Serials 31 Applicable Analysis 8 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 7 Comptes Rendus Mathématiques de l’Académie des Sciences 6 North-Holland Mathematics Studies 4 Journal of Mathematical Analysis and Applications 4 Mathematical Methods in the Applied Sciences 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Mathematische Annalen 3 Osaka Journal of Mathematics 3 Acta Applicandae Mathematicae 3 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Rocky Mountain Journal of Mathematics 2 Theoretical and Mathematical Physics 2 Canadian Journal of Mathematics 2 Mathematische Zeitschrift 2 Proceedings of the Japan Academy. Series A 2 Ricerche di Matematica 2 Journal of Mathematics and Mechanics 2 Proceedings of the Japan Academy 2 Nonlinear Analysis. Theory, Methods & Applications 1 International Journal of Modern Physics A 1 Archive for Rational Mechanics and Analysis 1 Journal of the Acoustical Society of America 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Reports on Mathematical Physics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Anais da Academia Brasileira de Ciências 1 Funkcialaj Ekvacioj. Serio Internacia 1 IEEE Transactions on Automatic Control 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Complex Variables. Theory and Application 1 Bulgarian Journal of Physics 1 Japan Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Journal of Nonlinear Science 1 International Mathematical Journal 1 International Journal of Pure and Applied Mathematics 1 Foundations of Physics 1 International Journal of Evolution Equations 1 Bulletin of the American Mathematical Society 1 Journal of the London Mathematical Society 1 Fundamental Theories of Physics 1 Mathematics and its Applications (Dordrecht) 1 Anais da Academia Brasileira de Ciências 1 Séminaire de Mathématiques Supérieures all top 5 Fields 119 Partial differential equations (35-XX) 38 Operator theory (47-XX) 34 Quantum theory (81-XX) 32 Ordinary differential equations (34-XX) 28 Dynamical systems and ergodic theory (37-XX) 13 Special functions (33-XX) 11 Integral equations (45-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Integral transforms, operational calculus (44-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Functional analysis (46-XX) 7 Differential geometry (53-XX) 7 Mechanics of deformable solids (74-XX) 7 Geophysics (86-XX) 6 Algebraic geometry (14-XX) 6 Relativity and gravitational theory (83-XX) 5 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 129 Publications have been cited 743 times in 377 Documents Cited by ▼ Year ▼ Abstract methods in partial differential equations. Zbl 0193.06501 Carroll, Robert W. 47 1969 Transmutation and operator differential equations. Zbl 0416.35021 Carroll, Robert W. 47 1979 Transmutation theory and applications. Zbl 0581.35004 Carroll, Robert W. 41 1985 Transmutation, scattering theory and special functions. Zbl 0494.34001 Carroll, Robert W. 37 1982 Solution of the forced nonlinear Schrödinger (NLS) equation using PDE techniques. Zbl 0754.35155 Carroll, Robert; Bu, Qiyue 35 1991 Solution of the dispersionless Hirota equations. Zbl 0876.35101 Carroll, R.; Kodama, Y. 35 1995 Scattering techniques for a one-dimensional inverse problem in geophysics. Zbl 0456.73086 Carroll, Robert W.; Santosa, F. 23 1981 Generalized Weierstrass-Enneper inducing, conformal immersions, and gravity. Zbl 0985.81730 Carroll, Robert; Konopelchenko, Boris 19 1996 Équations aux dérivées partielles. Zbl 0147.07801 Carroll, Robert W.; Duff, George; Friberg, Jöran; Gobert, Jules; Grisvard, Pierre; Nečas, Jindřich; Seeley, Robert 16 1966 Topics in soliton theory. Zbl 0777.35072 Carroll, Robert W. 16 1991 On the emergence theme of physics. Zbl 1193.81003 Carroll, Robert W. 12 2010 Quantum theory, deformation and integrability. Zbl 1008.81502 Carroll, Robert W. 11 2000 On complete recovery of geophysical data. Zbl 0503.73083 Carroll, Robert W.; Santosa, F. 11 1982 Some singular Cauchy problems. Zbl 0106.09401 Carroll, Robert W. 10 1961 Mathematical physics. Zbl 0665.35001 Carroll, Robert W. 10 1988 Some remarks on transmutation, scattering theory, and special functions. Zbl 0457.33005 Carroll, Robert W.; Gilbert, John E. 10 1981 Transmutation and separation of variables. Zbl 0406.34034 Carroll, Robert W. 10 1979 Canonical sequences of singular Cauchy problems. Zbl 0296.35056 Carroll, Robert W.; Silver, Howard 9 1973 On the propagator equation. Zbl 0153.17201 Carroll, Robert W. 9 1967 Some remarks on transmutation. Zbl 0435.34010 Carroll, Robert W. 9 1979 Existence theorems for some weak abstract variable domain hyperbolic problems. Zbl 0217.13201 Carroll, Robert W.; State, Émile 8 1971 On the singular Cauchy problem. Zbl 0117.34601 Carroll, Robert W. 8 1963 On the nature of weak solutions and some abstract Cauchy problems. Zbl 0153.17102 Carroll, Robert W. 8 1966 Singular Cauchy problems in symmetric spaces. Zbl 0337.35062 Carroll, Robert W. 8 1976 Remarks on some variable domain problems in abstract evolution equations. Zbl 0188.21001 Carroll, Robert W.; Cooper, Jeffery M. 7 1970 On some hyperbolic equations with operator coefficients. Zbl 0273.35049 Carroll, Robert W. 7 1973 Problems in linked operators. I. Zbl 0123.31103 Carroll, Robert W. 7 1963 On the Ginzburg-Landau equations. Zbl 0137.46304 Carroll, Robert W.; Glick, A. J. 7 1964 Impedance profile recovery from transmission data. Zbl 0544.73042 Carroll, Robert; Santosa, Fadil 7 1984 Inverse scattering techniques in geophysics. Zbl 0456.73087 Carroll, Robert W.; Santosa, Fadil 7 1980 Fluctuations, information, gravity and the quantum potential. Zbl 1103.81001 Carroll, Robert W. 7 2006 Transmutation theory for certain radial operators. Zbl 0525.34023 Carroll, Robert W. 6 1983 Remarks on the Gelfand-Levitan and Marčenko equations. Zbl 0501.34025 Carroll, Robert W. 6 1981 Some remarks on singular pseudodifferential operators. Zbl 0483.35083 Carroll, Robert W. 6 1981 Scattering techniques in transmutation and some connection formulas for special functions. Zbl 0477.34020 Carroll, Robert W.; Gilbert, John E. 6 1981 Stability for the one dimensional inverse problem via the Gel’fand-Levitan equation. Zbl 0499.73019 Carroll, Robert W.; Santosa, Fadil 6 1982 The Gelfand-Levitan and Marčenko equations via transmutation. Zbl 0502.35076 Carroll, Robert W. 6 1982 On the forced nonlinear Schrödinger equation. Zbl 0706.35126 Carroll, Robert 5 1990 Some remarks on the generalized Gelfand-Levitan equation. Zbl 0542.35073 Carroll, Robert W. 5 1983 Remarks on dispersionless KP, KdV, and 2D gravity. Zbl 0814.35117 Carroll, R. 5 1994 Some degenerate Cauchy problems with operator coefficients. Zbl 0196.39903 Carroll, Robert W. 4 1963 Canonical sequences of singular Cauchy problems. (Suites canoniques de problèmes de Cauchy singuliers.) Zbl 0228.35066 Carroll, Robert W.; Silver, Howard 4 1971 Symmetries, Sato theory, and tau functions. Zbl 0843.58066 Carroll, Robert 4 1995 Some singular mixed problems. Zbl 0134.07902 Carroll, Robert W. 4 1960 Some growth and convexity theorems for second-order equations. Zbl 0148.06002 Carroll, Robert W. 4 1967 Some differential problems related to spectral theory in several operators. Zbl 0148.38604 Carroll, Robert W. 4 1965 On the degenerate Cauchy problem. Zbl 0147.34501 Carroll, Robert W.; Wang, C. L. 4 1965 Transmutation, generalized translation, and transform theory. I. Zbl 0517.34011 Carroll, Robert W. 4 1982 Remarks on matrix-hierarchies, D bar dressing, and the spectral transform. Zbl 0802.58028 Carroll, Robert; Folguera, Alejandro 4 1993 Fourier type analysis and the Marčenko equation. Zbl 0587.34007 Carroll, Robert W. 4 1984 Group theoretic nature of certain recursion relations for singular Cauchy problems. Zbl 0377.35062 Carroll, Robert W. 4 1978 Some remarks on the Bergman-Gilbert integral operator. Zbl 0551.35084 Carroll, Robert W. 4 1984 Transmutation via the momentum plane. Zbl 0572.35079 Carroll, Robert W. 4 1984 On the structure of some abstract differential problems. II. Zbl 0189.14901 Carroll, Robert W. 3 1969 Solutions of some possibly noncoercive evolution problems with regular data. Zbl 0225.35056 Carroll, Robert W.; Mazumdar, T. 3 1972 Growth properties of solutions of certain “canonical” hyperbolic equations with subharmonic initial data. Zbl 0272.35059 Carroll, Robert W.; Silver, Howard 3 1973 Toward a general theory of transmutation. Zbl 0859.47033 Boumenir, Amin; Carroll, Robert 3 1996 Some remarks on Newton-Sabatier methods. Zbl 0681.35090 Carroll, Robert; Delic, George 3 1989 On the ubiquitous Gelfand-Levitan-Marčenko (GLM) equation. Zbl 0719.35067 Carroll, Robert 3 1990 On the quantum potential. Zbl 1086.81005 Carroll, Robert W. 3 2005 On the structure of the Green’s operator. Zbl 0191.15002 Carroll, Robert W. 3 1964 On a class of canonical singular Cauchy problems. Zbl 0305.35062 Carroll, Robert W. 3 1975 On the structure of some abstract differential problems. I. Zbl 0146.12802 Carroll, Robert W. 3 1966 Quelques problèmes de Cauchy singuliers. Zbl 0134.07901 Carroll, Robert W. 3 1960 Some uniqueness theorems for differential equations with operator coefficients. Zbl 0148.38602 Carroll, Robert W.; Neuwirth, Jérome 3 1964 Some remarks on symmetries, dressing, and Virasoro action. Zbl 0812.35119 Carroll, Robert 3 1993 Transmutation, generalized translation, and transform theory. II. Zbl 0517.34012 Carroll, Robert W. 3 1982 Spectral measures and autocorrelation via transmutation. Zbl 0539.73020 Carroll, Robert; Santosa, Fadil 3 1983 Some connections between inverse scattering and solution hierarchies. Zbl 0776.35063 Carroll, Robert 3 1992 Partial differential equation techniques in transmutation. Zbl 0539.35004 Carroll, Robert W. 3 1983 Discretization and Moyal brackets. Zbl 1112.81330 Carroll, Robert 3 2001 The Whitham equations revisited. Zbl 0887.14011 Carroll, Robert; Chang, Jen Hsu 3 1997 \(D\) bar dressing and Sato theory. Zbl 0809.58019 Carroll, Robert; Konopelchenko, Boris 3 1993 The Bergman-Gilbert operator as a transmutation. Zbl 0505.35030 Carroll, Robert W. 3 1982 Some remarks on forced KdV. Zbl 0711.35119 Carroll, Robert; Oharu, Shinnosuke 3 1990 Eisenstein integrals and singular Cauchy problems. Zbl 0337.35061 Carroll, Robert W. 3 1975 Some spectral formulas for systems and transmission lines. Zbl 0592.34006 Carroll, Robert W. 3 1986 Metric fluctuations, entropy, and the Wheeler-de Witt equation. Zbl 1170.83376 Carroll, R. 3 2007 Transmutation of operators with disjoint spectra. Zbl 0831.47039 Boumenir, Amin; Carroll, Robert 2 1995 Integrability and the Schrödinger equation. Zbl 0992.37058 Carroll, R. 2 1998 Solutions faibles des équations d’évolution hyperboliques à domaine variable. Zbl 0201.42604 Carroll, Robert W.; State, Émile 2 1970 Problèmes d’opérateurs reliés. Zbl 0129.08604 Carroll, Robert W. 2 1964 Sur la définition spectrale d’un opérateur de Green. Zbl 0148.38603 Carroll, Robert W. 2 1963 Some remarks on KP. Zbl 0810.35103 Carroll, Robert 2 1991 On a transform theory involving Whittaker functions. Zbl 0519.44004 Carroll, Robert W. 2 1983 Some inversion theorems of Fourier type. Zbl 0531.45005 Carroll, Robert W. 2 1984 Transmutation and linear stochastic estimation. Zbl 0542.62082 Carroll, Robert 2 1984 On the determinant theme for tau functions, Grassmannians, and inverse scattering. Zbl 0755.35110 Carroll, Robert 2 1991 Résolution d’un problème inverse qui détermine complètement les données géophysiques. Zbl 0545.35091 Carroll, Robert W.; Santosa, Fadil 2 1981 Some features of the maps from potential to spectral data. Zbl 0647.35065 Carroll, Robert W. 2 1987 On some singular quasi-linear Cauchy problems. Zbl 0178.11701 Carroll, Robert W. 2 1963 Some remarks on a canonical Marčenko equation. Zbl 0587.34008 Carroll, Robert W.; Dolzycki, Stanley 2 1985 Solutions des équations d’évolution abstraites à domaine variable. Zbl 0187.08802 Carroll, Robert W.; Cooper, Jeffery M. 2 1970 Some remarks on orthogonal polynomials and transmutation methods. Zbl 0663.42022 Carroll, Robert 2 1986 Remarks on Whitham dynamics. Zbl 1015.37500 Carroll, Robert 1 1998 Some remarks on kernels, recovery formulas, and evolution equations. Zbl 0295.47047 Carroll, Robert W. 1 1975 On canonical coordinates in soliton hierarchies. Zbl 0851.35111 Carroll, Robert 1 1994 Remarks on the Schrödinger equation. Zbl 1075.35074 Carroll, Robert 1 2005 Various aspects of Whitham times. Zbl 0981.81062 Carroll, Robert 1 2000 Some kernels on a Riemann surface. Zbl 0937.30025 Carroll, Robert 1 1997 On the emergence theme of physics. Zbl 1193.81003 Carroll, Robert W. 12 2010 Metric fluctuations, entropy, and the Wheeler-de Witt equation. Zbl 1170.83376 Carroll, R. 3 2007 Fluctuations, information, gravity and the quantum potential. Zbl 1103.81001 Carroll, Robert W. 7 2006 Remarks on the quantum potential. Zbl 1325.81005 Carroll, Robert W. 1 2006 On the quantum potential. Zbl 1086.81005 Carroll, Robert W. 3 2005 Remarks on the Schrödinger equation. Zbl 1075.35074 Carroll, Robert 1 2005 Information, quantum mechanics, and gravity. Zbl 1084.81037 Carroll, Robert 1 2005 Hirota formulas and \(Q\)-hierarchies. Zbl 1046.81051 Carroll, Robert 1 2003 Discretization and Moyal brackets. Zbl 1112.81330 Carroll, Robert 3 2001 Quantum theory, deformation and integrability. Zbl 1008.81502 Carroll, Robert W. 11 2000 Various aspects of Whitham times. Zbl 0981.81062 Carroll, Robert 1 2000 Integrability and the Schrödinger equation. Zbl 0992.37058 Carroll, R. 2 1998 Remarks on Whitham dynamics. Zbl 1015.37500 Carroll, Robert 1 1998 The Whitham equations revisited. Zbl 0887.14011 Carroll, Robert; Chang, Jen Hsu 3 1997 Some kernels on a Riemann surface. Zbl 0937.30025 Carroll, Robert 1 1997 \((X,\psi)\) duality and enhanced KdV on a Riemann surface. Zbl 1003.37504 Carroll, Robert 1 1997 Generalized Weierstrass-Enneper inducing, conformal immersions, and gravity. Zbl 0985.81730 Carroll, Robert; Konopelchenko, Boris 19 1996 Toward a general theory of transmutation. Zbl 0859.47033 Boumenir, Amin; Carroll, Robert 3 1996 On relations between vertex operators, quasiclassical operators, and phase space coordinates. Zbl 0900.35350 Carroll, Robert 1 1996 Solution of the dispersionless Hirota equations. Zbl 0876.35101 Carroll, R.; Kodama, Y. 35 1995 Symmetries, Sato theory, and tau functions. Zbl 0843.58066 Carroll, Robert 4 1995 Transmutation of operators with disjoint spectra. Zbl 0831.47039 Boumenir, Amin; Carroll, Robert 2 1995 Remarks on dispersionless KP, KdV, and 2D gravity. Zbl 0814.35117 Carroll, R. 5 1994 On canonical coordinates in soliton hierarchies. Zbl 0851.35111 Carroll, Robert 1 1994 Remarks on matrix-hierarchies, D bar dressing, and the spectral transform. Zbl 0802.58028 Carroll, Robert; Folguera, Alejandro 4 1993 Some remarks on symmetries, dressing, and Virasoro action. Zbl 0812.35119 Carroll, Robert 3 1993 \(D\) bar dressing and Sato theory. Zbl 0809.58019 Carroll, Robert; Konopelchenko, Boris 3 1993 Some connections between inverse scattering and solution hierarchies. Zbl 0776.35063 Carroll, Robert 3 1992 Solution of the forced nonlinear Schrödinger (NLS) equation using PDE techniques. Zbl 0754.35155 Carroll, Robert; Bu, Qiyue 35 1991 Topics in soliton theory. Zbl 0777.35072 Carroll, Robert W. 16 1991 Some remarks on KP. Zbl 0810.35103 Carroll, Robert 2 1991 On the determinant theme for tau functions, Grassmannians, and inverse scattering. Zbl 0755.35110 Carroll, Robert 2 1991 On the forced nonlinear Schrödinger equation. Zbl 0706.35126 Carroll, Robert 5 1990 On the ubiquitous Gelfand-Levitan-Marčenko (GLM) equation. Zbl 0719.35067 Carroll, Robert 3 1990 Some remarks on forced KdV. Zbl 0711.35119 Carroll, Robert; Oharu, Shinnosuke 3 1990 Inverse scattering and forced nonlinear systems. Zbl 0726.35125 Carroll, R. 1 1990 Some remarks on Newton-Sabatier methods. Zbl 0681.35090 Carroll, Robert; Delic, George 3 1989 On the variational determination of GLM kernels. Zbl 0682.34014 Carroll, Robert 1 1989 Mathematical physics. Zbl 0665.35001 Carroll, Robert W. 10 1988 Some inverse problems with spectral limitations on data. Zbl 0724.73068 Carroll, Robert; Raphael, Louise 1 1988 Some features of the maps from potential to spectral data. Zbl 0647.35065 Carroll, Robert W. 2 1987 Localization and spectral transform for the half line. Zbl 0647.35064 Carroll, Robert W. 1 1987 Some spectral formulas for systems and transmission lines. Zbl 0592.34006 Carroll, Robert W. 3 1986 Some remarks on orthogonal polynomials and transmutation methods. Zbl 0663.42022 Carroll, Robert 2 1986 Generating functions in transmutation theory. Zbl 0622.33004 Carroll, R.; Berkopec, T. 1 1986 Transmutation for systems by spectral methods. Zbl 0618.35082 Carroll, Robert W.; Dolzycki, Stanley 1 1986 Patterns and structure in systems governed by linear second-order differential equations. Zbl 0621.34001 Carroll, Robert W. 1 1986 A Lyapunov function of two-dimensional linear systems. Zbl 0592.93051 Mahgoub, H.; Carroll, R. 1 1986 On some spectral ingredients for the integral equations of scattering theory. Zbl 0601.45008 Carroll, Robert W. 1 1986 Transmutation theory and applications. Zbl 0581.35004 Carroll, Robert W. 41 1985 Some remarks on a canonical Marčenko equation. Zbl 0587.34008 Carroll, Robert W.; Dolzycki, Stanley 2 1985 Impedance profile recovery from transmission data. Zbl 0544.73042 Carroll, Robert; Santosa, Fadil 7 1984 Fourier type analysis and the Marčenko equation. Zbl 0587.34007 Carroll, Robert W. 4 1984 Some remarks on the Bergman-Gilbert integral operator. Zbl 0551.35084 Carroll, Robert W. 4 1984 Transmutation via the momentum plane. Zbl 0572.35079 Carroll, Robert W. 4 1984 Some inversion theorems of Fourier type. Zbl 0531.45005 Carroll, Robert W. 2 1984 Transmutation and linear stochastic estimation. Zbl 0542.62082 Carroll, Robert 2 1984 Some topics in transmutation. Zbl 0568.58037 Carroll, Robert W. 1 1984 Transmutation theory for certain radial operators. Zbl 0525.34023 Carroll, Robert W. 6 1983 Some remarks on the generalized Gelfand-Levitan equation. Zbl 0542.35073 Carroll, Robert W. 5 1983 Spectral measures and autocorrelation via transmutation. Zbl 0539.73020 Carroll, Robert; Santosa, Fadil 3 1983 Partial differential equation techniques in transmutation. Zbl 0539.35004 Carroll, Robert W. 3 1983 On a transform theory involving Whittaker functions. Zbl 0519.44004 Carroll, Robert W. 2 1983 Transmutation, scattering theory and special functions. Zbl 0494.34001 Carroll, Robert W. 37 1982 On complete recovery of geophysical data. Zbl 0503.73083 Carroll, Robert W.; Santosa, F. 11 1982 Stability for the one dimensional inverse problem via the Gel’fand-Levitan equation. Zbl 0499.73019 Carroll, Robert W.; Santosa, Fadil 6 1982 The Gelfand-Levitan and Marčenko equations via transmutation. Zbl 0502.35076 Carroll, Robert W. 6 1982 Transmutation, generalized translation, and transform theory. I. Zbl 0517.34011 Carroll, Robert W. 4 1982 Transmutation, generalized translation, and transform theory. II. Zbl 0517.34012 Carroll, Robert W. 3 1982 The Bergman-Gilbert operator as a transmutation. Zbl 0505.35030 Carroll, Robert W. 3 1982 Elliptic transmutation. I. Zbl 0539.35003 Carroll, Robert W. 1 1982 On the characterization of transmutations. Zbl 0512.58037 Carroll, Robert W. 1 1982 On the canonical development of Parseval formulas for singular differential operators. Zbl 0584.47052 Carroll, Robert W. 1 1982 Scattering techniques for a one-dimensional inverse problem in geophysics. Zbl 0456.73086 Carroll, Robert W.; Santosa, F. 23 1981 Some remarks on transmutation, scattering theory, and special functions. Zbl 0457.33005 Carroll, Robert W.; Gilbert, John E. 10 1981 Remarks on the Gelfand-Levitan and Marčenko equations. Zbl 0501.34025 Carroll, Robert W. 6 1981 Some remarks on singular pseudodifferential operators. Zbl 0483.35083 Carroll, Robert W. 6 1981 Scattering techniques in transmutation and some connection formulas for special functions. Zbl 0477.34020 Carroll, Robert W.; Gilbert, John E. 6 1981 Résolution d’un problème inverse qui détermine complètement les données géophysiques. Zbl 0545.35091 Carroll, Robert W.; Santosa, Fadil 2 1981 A survey of some recent results in transmutation. Zbl 0487.34025 Carroll, Robert W. 1 1981 Inverse scattering techniques in geophysics. Zbl 0456.73087 Carroll, Robert W.; Santosa, Fadil 7 1980 Transmutation and operator differential equations. Zbl 0416.35021 Carroll, Robert W. 47 1979 Transmutation and separation of variables. Zbl 0406.34034 Carroll, Robert W. 10 1979 Some remarks on transmutation. Zbl 0435.34010 Carroll, Robert W. 9 1979 Group theoretic nature of certain recursion relations for singular Cauchy problems. Zbl 0377.35062 Carroll, Robert W. 4 1978 Uniqueness theorems for systems of abstract differential equations in general spaces. Zbl 0369.35013 Carroll, Robert W. 1 1978 Systems of abstract differential equations in general spaces. Zbl 0398.35088 Carroll, Robert W. 1 1978 Singular Cauchy problems in symmetric spaces. Zbl 0337.35062 Carroll, Robert W. 8 1976 On a class of canonical singular Cauchy problems. Zbl 0305.35062 Carroll, Robert W. 3 1975 Eisenstein integrals and singular Cauchy problems. Zbl 0337.35061 Carroll, Robert W. 3 1975 Some remarks on kernels, recovery formulas, and evolution equations. Zbl 0295.47047 Carroll, Robert W. 1 1975 Canonical sequences of singular Cauchy problems. Zbl 0296.35056 Carroll, Robert W.; Silver, Howard 9 1973 On some hyperbolic equations with operator coefficients. Zbl 0273.35049 Carroll, Robert W. 7 1973 Growth properties of solutions of certain “canonical” hyperbolic equations with subharmonic initial data. Zbl 0272.35059 Carroll, Robert W.; Silver, Howard 3 1973 Solutions of some possibly noncoercive evolution problems with regular data. Zbl 0225.35056 Carroll, Robert W.; Mazumdar, T. 3 1972 Existence theorems for some weak abstract variable domain hyperbolic problems. Zbl 0217.13201 Carroll, Robert W.; State, Émile 8 1971 Canonical sequences of singular Cauchy problems. (Suites canoniques de problèmes de Cauchy singuliers.) Zbl 0228.35066 Carroll, Robert W.; Silver, Howard 4 1971 Remarks on some variable domain problems in abstract evolution equations. Zbl 0188.21001 Carroll, Robert W.; Cooper, Jeffery M. 7 1970 Solutions faibles des équations d’évolution hyperboliques à domaine variable. Zbl 0201.42604 Carroll, Robert W.; State, Émile 2 1970 Solutions des équations d’évolution abstraites à domaine variable. Zbl 0187.08802 Carroll, Robert W.; Cooper, Jeffery M. 2 1970 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 343 Authors 64 Carroll, Robert Wayne 14 Kravchenko, Vladislav Viktorovich 10 Konopelchenko, Boris Georgievich 9 Boumenir, Amin A. 9 Torba, Sergii M. 7 Bu, Charles 7 Grundland, Alfred Michel 7 Santosa, Fadil N. 6 Bragg, Louis R. 6 John, Moncy Vilavinal 6 Kaikina, Elena Igorevna 6 Mazumdar, Tapas 6 Sitnik, Sergei Mihailovich 5 Bracken, Paul Francis 5 Zakrzewski, Wojciech J. 4 Bogdanov, Leonid Vital’evich 4 Donaldson, James Ashley 4 Gilbert, Robert Pertsch 4 Jumarie, Guy M. 4 Mathew, Kiran 4 Matsutani, Shigeki 4 Riaz, H. Wajahat Ahmed 4 Sakhnovich, Alexander L. 4 Showalter, Ralph E. 4 Symes, William W. 4 Tu, Minghsien 3 Bernardi, Marco Luigi 3 Chang, Jen-Hsu 3 Cooper, Jeffery M. 3 Ferapontov, Evgeny Vladimirovich 3 Floyd, Edward R. 3 Gogberashvili, Merab 3 Goldstein, Jerome Arthur 3 Hayashi, Nakao 3 Isidro San Juan, José-Maria 3 Luterotti, Fabio 3 Sohr, Hermann 3 Sun, Shuming 3 Vicente-Benítez, Víctor A. 2 Amrouche, Chérif 2 Arosio, Alberto 2 Baiocchi, Claudio 2 Bonfanti, Giovanna 2 Boutet de Monvel, Anne Marie 2 Bu, Qiyue 2 Campos, Hugo M. 2 Chen, Yu-Tung 2 Ciarlet, Philippe Gaston 2 Dolzycki, Stanley 2 Esquivel, Liliana 2 Fernández de Córdoba, Pedro 2 Fokas, Athanassios S. 2 Fulks, Watson B. 2 Gilbert, John E. 2 Guenther, Ronald B. 2 Guha, Partha 2 Guo, Boling 2 Hassan, Mahmood-Ul 2 Hersh, Reuben 2 Himonas, A. Alexandrou 2 Huang, Jau-Inn 2 Hussin, Véronique 2 Jebabli, Inèss 2 Karimov, Shakhobiddin T. 2 Khmelnytskaya, Kira V. 2 Kotlyarov, Vladimir P. 2 Lee, Minho 2 Lee, Niann-Chern 2 Levine, Howard Allen 2 Mantzavinos, Dionyssios 2 Mardare, Cristinel 2 Previato, Emma 2 Pskhu, Arsen Vladimirovich 2 Ran, Yu 2 Sacks, Paul E. 2 Sasane, Amol J. 2 Sather, Duane 2 Shen, Hsin-Fu 2 Sotelo-Garcia, Norma 2 Takasaki, Kanehisa 2 Tsekov, Roumen 2 Tsygvintsev, Alexei V. 2 Walker, Wayne J. 2 Wood, David Harlan 2 Xu, Yongzhi S. 2 Yang, Yisong 2 Zhang, Bingyu 1 Aibeche, Aissa 1 Alagesan, Thangavel 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Alibert, Jean-Jacques 1 Almalki, Fadhel 1 Alonso, Martinez L. 1 Alshal, Hassan 1 Ames, Karen A. 1 Antipov, Yuri A. 1 Árciga-Alejandre, Martín P. 1 Atkinson, Frederick Valentine 1 Bahouli, Bassem 1 Ball, John MacLeod ...and 243 more Authors all top 5 Cited in 121 Serials 39 Applicable Analysis 27 Journal of Mathematical Physics 26 Journal of Mathematical Analysis and Applications 14 Journal of Differential Equations 11 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Physics Letters. A 9 Journal of Nonlinear Mathematical Physics 9 Foundations of Physics 8 Mathematical Methods in the Applied Sciences 7 Wave Motion 6 International Journal of Theoretical Physics 6 Theoretical and Mathematical Physics 6 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of Geometry and Physics 5 Applied Mathematics and Computation 5 Journal of Computational and Applied Mathematics 4 Archive for Rational Mechanics and Analysis 4 Communications in Mathematical Physics 4 Physics Letters. B 4 Reviews in Mathematical Physics 4 Chaos, Solitons and Fractals 4 Mathematische Annalen 4 Proceedings of the American Mathematical Society 4 Studies in Applied Mathematics 4 Transactions of the American Mathematical Society 4 Applied Mathematics Letters 4 Lobachevskii Journal of Mathematics 3 Journal of Soviet Mathematics 3 Mathematische Zeitschrift 3 Acta Applicandae Mathematicae 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Bulletin of the American Mathematical Society 2 Modern Physics Letters A 2 General Relativity and Gravitation 2 Letters in Mathematical Physics 2 Nuclear Physics. B 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Czechoslovak Mathematical Journal 2 Journal of Functional Analysis 2 Monatshefte für Mathematik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the Japan Academy. Series A 2 Physica D 2 Applied Numerical Mathematics 2 Journal of Integral Equations and Applications 2 International Journal of Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Journal of Mathematical Sciences (New York) 2 Journal of Geometry and Symmetry in Physics 2 Proceedings of the Japan Academy 2 Advances in Mathematical Physics 2 Quantum Studies: Mathematics and Foundations 1 Discrete Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Mathematical Notes 1 Nonlinearity 1 Physica A 1 Reports on Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Optimization Theory and Applications 1 Memoirs of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tôhoku Mathematical Journal. Second Series 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Japan Journal of Applied Mathematics 1 Journal of Computer Science and Technology 1 Mathematical and Computer Modelling 1 Computational Mathematics and Mathematical Physics 1 Aequationes Mathematicae 1 Annals of Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Indagationes Mathematicae. New Series 1 Journal of Nonlinear Science 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Applied Clifford Algebras 1 NoDEA. Nonlinear Differential Equations and Applications 1 Izvestiya: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Fractional Calculus & Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of High Energy Physics 1 Gravitation & Cosmology 1 Portugaliae Mathematica. Nova Série 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Entropy ...and 21 more Serials all top 5 Cited in 46 Fields 210 Partial differential equations (35-XX) 69 Ordinary differential equations (34-XX) 65 Dynamical systems and ergodic theory (37-XX) 56 Quantum theory (81-XX) 54 Operator theory (47-XX) 23 Differential geometry (53-XX) 21 Mechanics of deformable solids (74-XX) 20 Integral transforms, operational calculus (44-XX) 16 Functional analysis (46-XX) 16 Numerical analysis (65-XX) 14 Relativity and gravitational theory (83-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Fluid mechanics (76-XX) 12 Integral equations (45-XX) 11 Special functions (33-XX) 10 Probability theory and stochastic processes (60-XX) 10 Systems theory; control (93-XX) 9 Real functions (26-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Information and communication theory, circuits (94-XX) 7 Functions of a complex variable (30-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Mechanics of particles and systems (70-XX) 6 Algebraic geometry (14-XX) 6 Approximations and expansions (41-XX) 6 Geophysics (86-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Difference and functional equations (39-XX) 4 Abstract harmonic analysis (43-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Topological groups, Lie groups (22-XX) 3 Biology and other natural sciences (92-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year