Edit Profile (opens in new tab) Høegh-Krohn, Raphael J. (b. 1938 d. 1988) Co-Author Distance Author ID: hoegh-krohn.raphael-j Published as: Høegh-Krohn, Raphael; Høegh-Krohn, Raphael J.; Høegh-Krohn, R. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 103 Publications since 1967, including 8 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 3 Publications Co-Authors: 41 Co-Authors with 99 Joint Publications 1,529 Co-Co-Authors all top 5 Co-Authors 6 single-authored 82 Albeverio, Sergio A. 18 Holden, Helge 11 Gesztesy, Fritz 8 Blanchard, Philippe 5 Fenstad, Jens Erik 5 Kirsch, Werner 5 Sirugue, Michel 4 Combe, Ph. 4 Lindstrøm, Tom L. 4 Mebkhout, Mohammed 4 Streit, Ludwig 4 Testard, Daniel H. 3 Sirugue-Collin, Madeleine 2 Holden, Lars 2 Johannesen, Steinar 2 Kolsrud, Torbjörn 2 Martinelli, Fabio 2 Olsen, Gunnar Hans 2 Paycha, Sylvie 2 Scarlatti, Sergio 2 Torrésani, Bruno S. 2 Zegarlinski, Boguslaw 1 Backhouse, Nigel B. 1 Bellissard, Jean V. 1 Birman, Joseph L. 1 Bollé, D. 1 Dürr, Hans-Peter Emil 1 Emch, Gerard G. 1 Evans, David E. 1 Exner, Pavel 1 Figari, Rodolfo 1 Frei, Hans-Peter 1 Gallavotti, Giovanni M. 1 Gandolfo, Daniel 1 Günthard, Hs. H. 1 Hughes, J. W. B. 1 Iwata, Koichiro 1 Jarić, Marko V. 1 Karwowski, Witold 1 Kerber, Adalbert 1 King, Ronald C. 1 Kostant, Bertram 1 Kramer, Peter 1 Landstad, Magnus B. 1 Marion, Jean A. 1 Mazzucchi, Sonia 1 Merlini, Danilo 1 O’Raifeartaigh, Lochlainn 1 Patera, Jiří 1 Primas, Hans 1 Qubanchi, A. H. A. 1 Rideau, Guy 1 Rieckers, Alfred 1 Rittenberg, Vladimir 1 Rosensteel, George 1 Rowe, David J. 1 Shubin, Mikhail Aleksandrovich 1 Simon, Barry 1 Skjelbred, Tor 1 Sternberg, Shlomo 1 Stora, Raymond 1 Størmer, Erling 1 Surgailis, Donatas 1 van den Broec, P. M. 1 van Leeuwen, J. M. J. 1 Vershik, Anatoliĭ Moiseevich 1 Winternitz, Pavel 1 Zassenhaus, Hans Julius 1 Zvonkin, Alexander K. all top 5 Serials 12 Communications in Mathematical Physics 9 Journal of Functional Analysis 4 Journal of Mathematical Physics 3 Journal für die Reine und Angewandte Mathematik 3 Journal of Operator Theory 2 Communications on Pure and Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Advances in Applied Mathematics 2 Lecture Notes in Mathematics 2 Lecture Notes in Physics 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Physica A 1 Reports on Mathematical Physics 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Journal of Multivariate Analysis 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Annals of Physics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Stochastic Processes and their Applications 1 Expositiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Nuclear Physics. B. Proceedings Supplements 1 Annals of Mathematics. Second Series 1 Pure and Applied Mathematics (Academic Press) 1 Pure and Applied Mathematics, Marcel Dekker 1 Texts and Monographs in Physics all top 5 Fields 51 Probability theory and stochastic processes (60-XX) 49 Quantum theory (81-XX) 28 Partial differential equations (35-XX) 21 Operator theory (47-XX) 17 Functional analysis (46-XX) 12 Topological groups, Lie groups (22-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Measure and integration (28-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Potential theory (31-XX) 4 Mathematical logic and foundations (03-XX) 3 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 3 Differential geometry (53-XX) 3 Astronomy and astrophysics (85-XX) 2 Abstract harmonic analysis (43-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 2,058 times in 1,586 Documents Cited by ▼ Year ▼ Solvable models in quantum mechanics. Zbl 0679.46057Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 366 1988 Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. Zbl 1078.81003Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 160 2005 Nonstandard methods in stochastic analysis and mathematical physics. Zbl 0605.60005Albeverio, Sergio; Høegh-Krohn, Raphael; Fenstad, Jens Erik; Lindstrøm, Tom 148 1986 Hypercontra ctive semigroups and two dimensional self-coupled Bose fields. Zbl 0241.47029Simon, Barry; Høegh-Krohn, Raphael 104 1972 Mathematical theory of Feynman path integrals. Zbl 0337.28009Albeverio, Sergio A.; Høegh-Krohn, Raphael J. 81 1976 Energy forms, Hamiltonians, and distorted Brownian paths. Zbl 0368.60091Albeverio, Sergio; Høegh-Krohn, Raphael; Streit, L. 78 1977 Spectral properties of positive maps on \(C^*\)-algebras. Zbl 0384.46042Evans, David E.; Høegh-Krohn, Raphael 74 1978 Dirichlet forms and diffusion processes on rigged Hilbert spaces. Zbl 0342.60057Albeverio, Sergio; Høegh-Krohn, Raphael 68 1977 Mathematical theory of Feynman path integrals. An introduction. 2nd corrected and enlarged edition. Zbl 1222.46001Albeverio, Sergio A.; Høegh-Krohn, Raphael J.; Mazzucchi, Sonia 53 2008 Classification and construction of quasisimple Lie algebras. Zbl 0792.17019Høegh-Krohn, Raphael; Torresani, Bruno 48 1990 Frobenius theory for positive maps of von Neumann algebras. Zbl 0398.46054Albeverio, Sergio; Høegh-Krohn, Raphael 43 1978 Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics. I. Zbl 0449.35092Albeverio, Sergio; Høegh-Krohn, Raphael 42 1977 The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time. Zbl 0279.60095Albeverio, Sergio; Høegh-Krohn, Raphael 40 1974 Compact ergodic groups of automorphisms. Zbl 0472.46046Høegh-Krohn, Raphael; Landstad, M. B.; Størmer, Erling 39 1981 Dirichlet forms and Markov semigroups on \(C^*\)-algebras. Zbl 0384.46043Albeverio, Sergio; Høegh-Krohn, Raphael 37 1977 Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions. Zbl 0443.60099Albeverio, Sergio; Høegh-Krohn, Raphael 37 1979 Compactness and the maximal Gibbs state for random Gibbs fields on a lattice. Zbl 0495.60057Bellissard, Jean; Høegh-Krohn, Raphael 34 1982 Homogeneous random fields and statistical mechanics. Zbl 0381.60049Albeverio, Sergio; Høegh-Krohn, Raphael 31 1975 The low energy expansion in nonrelativistic scattering theory. Zbl 0528.35076Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael 27 1982 A numerical method for first order nonlinear scalar conservation laws in one-dimension. Zbl 0658.65085Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael 27 1988 A remark on the connection between stochastic mechanics and the heat equation. Zbl 0291.60028Albeverio, Sergio; Høegh-Krohn, Raphael 26 1974 Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group. Zbl 0488.22038Albeverio, Sergio; Høegh-Krohn, Raphael; Testard, Daniel 24 1981 The energy representation of Sobolev-Lie groups. Zbl 0393.22013Albeverio, Sergio; Høegh-Krohn, Raphael 24 1978 Singular perturbations and nonstandard analysis. Zbl 0424.35014Albeverio, Sergio; Fenstad, Jens Erik; Høegh-Krohn, Raphael 22 1979 Factorial representations of path groups. Zbl 0522.22013Albeverio, Sergio; Høegh-Krohn, Raphael; Testard, Daniel; Vershik, A. 21 1983 Hunt processes and analytic potential theory on rigged Hilbert spaces. Zbl 0382.60082Albeverio, Sergio; Høegh-Krohn, Raphael 20 1977 Noncommutative distributions: unitary representation of gauge groups and algebras. Zbl 0791.22010Albeverio, Sergio; Høegh-Krohn, Raphael; Marion, Jean A.; Testard, Daniel H.; Torrésani, Bruno S. 19 1993 Feynman path integrals and the trace formula for the Schrödinger operators. Zbl 0493.35039Albeverio, Sergio; Blanchard, Phillip; Høegh-Krohn, Raphael 18 1982 Point interactions as limits of short range interactions. Zbl 0501.35023Albeverio, Sergio; Høegh-Krohn, Raphael 17 1981 On point interactions in one dimension. Zbl 0561.35023Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Kirsch, W. 15 1984 Some results for the exponential interaction in two or more dimensions. Zbl 0433.60098Albeverio, Sergio; Gallavotti, G.; Høegh-Krohn, Raphael 15 1979 Classification of C*-algebras admitting ergodic actions of the two- dimensional torus. Zbl 0459.46042Høegh-Krohn, Raphael; Skjelbred, Tor 14 1981 Stochastic flows with stationary distribution for two-dimensional inviscid fluids. Zbl 0676.76033Albeverio, Sergio; Høegh-Krohn, Raphael 14 1989 Diffusion fields, quantum fields, and fields with values in Lie groups. Zbl 0575.60078Albeverio, Sergio; Høegh-Krohn, Raphael 12 1984 Low-energy parameters in nonrelativistic scattering theory. Zbl 0542.35056Albeverio, Sergio; Bollé, D.; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Streit, L. 11 1983 Perturbation of resonances in quantum mechanics. Zbl 0564.35026Albeverio, Sergio; Høegh-Krohn, Raphael 11 1984 Ergodic actions by compact groups on C*-algebras. Zbl 0417.46067Albeverio, Sergio; Høegh-Krohn, Raphael 11 1980 Representation and construction of multiplicative noise. Zbl 0696.60012Albeverio, Sergio; Holden, Helge; Høegh-Krohn, Raphael; Kolsrud, Torbjörn 10 1989 The global Markov property for lattice systems. Zbl 0496.60047Albeverio, Sergio; Høegh-Krohn, Raphael; Olsen, G. 10 1981 Feynman path integrals and the corresponding method of stationary phase. Zbl 0424.28014Albeverio, Sergio; Høegh-Krohn, Raphael 10 1979 Regularization of Hamiltonians and processes. Zbl 0455.60088Albeverio, Sergio; Høegh-Krohn, Raphael; Streit, L. 10 1980 Stochastic multiplicative measures, generalized Markov semigroups, and group-valued stochastic processes and fields. Zbl 0639.60010Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge 10 1988 Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions. Zbl 0668.60093Albeverio, Sergio; Høegh-Krohn, Raphael; Zegarlinski, Boguslav 10 1989 Local relativistic invariant flows for quantum fields. Zbl 0538.46053Albeverio, Sergio; Blanchard, Phillip; Combe, Ph.; Høegh-Krohn, Raphael; Sirugue, M. 8 1983 Charged particles with short range interactions. Zbl 0555.35111Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Streit, L. 8 1983 Poisson processes on groups and Feynman path integrals. Zbl 0526.22003Combe, Ph.; Høegh-Krohn, Raphael; Rodriguez, R.; Sirugue, M.; Sirugue-Collin, M. 7 1980 Nonstandard methods in stochastic analysis and mathematical physics. Reprint of the 1986 original ed. Zbl 1191.60002Albeverio, Sergio; Høegh-Krohn, Raphael; Fenstad, Jens Erik; Lindstrøm, Tom 7 2009 Point interactions in two dimensions: basic properties, approximations and applications in solid state physics. Zbl 0619.35030Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 7 1987 The \(1/r\) expansion for the critical multiple well problem. Zbl 0529.35063Høegh-Krohn, Raphael; Mebkhout, Mohammed 6 1983 Markov cosurfaces and gauge fields. Zbl 0541.60093Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge 6 1984 The short range expansion. Zbl 0546.35019Holden, Helge; Høegh-Krohn, Raphael; Johannesen, Steinar 6 1983 Schrödinger operators with potentials supported by null sets. Zbl 0795.35088Albeverio, Sergio; Fenstad, Jens Erik; Høegh-Krohn, Raphael; Karwowski, W.; Lindstrøm, Tom 6 1992 Nonstandard methods in stochastic analysis and mathematical physics. (Nestandartnye metody v stokhasticheskom analize i matematicheskoj fizike). Transl. from the English by A. K. Zvonkin. Transl. ed. by M. A. Shubin. With a preface by Zvonkin and Shubin. (Nestandartnye metody v stokhasticheskom analize i matematicheskoj fizike.) Zbl 0734.60001Albeverio, Sergio; Fenstad, Jens Erik; Høegh-Krohn, Raphael J.; Lindstrøm, Tom L. 5 1990 A global and stochastic analysis approach to bosonic strings and associated quantum fields. Zbl 0755.60039Albeverio, Sergio; Høegh-Krohn, Raphael; Paycha, Sylvie; Scarlatti, Sergio 5 1992 A stochastic model for the orbits of planets and satellites: An interpretation of Titius-Bode law. Zbl 0533.70006Albeverio, Sergio; Høegh-Krohn, Raphael 5 1983 Covariant Markovian random fields in four space-time dimensions with nonlinear electromagnetic interaction. Zbl 0722.60044Albeverio, Sergio; Høegh-Krohn, Raphael; Iwata, Koichiro 5 1989 Diffusions, quantum fields and groups of mappings. Zbl 0492.60098Albeverio, Sergio; Høegh-Krohn, Raphael 5 1982 Topics in infinite dimensional analysis. Zbl 0442.28018Albeverio, Sergio; Høegh-Krohn, Raphael 5 1978 The short-range expansion in solid state physics. Zbl 0594.46066Holden, Helge; Høegh-Krohn, Raphael; Johannesen, Steinar 5 1984 Euler flows, associated generalized random fields and Coulomb systems. Zbl 0607.76017Albeverio, Sergio; Høegh-Krohn, Raphael; Merlini, D. 5 1985 The spectrum of the three-dimensional Kronig-Penney model with random point defects. Zbl 0513.60062Albeverio, Sergio; Høegh-Krohn, Raphael; Kirsch, W.; Martinelli, Fabio 4 1982 Newtonian diffusions and planets, with a remark on non-standard Dirichlet forms and polymers. Zbl 0547.60082Albeverio, Sergio; Blanchard, Phillip; Høegh-Krohn, Raphael 4 1984 Martingale convergence and the exponential interaction in \(R^ n\). Zbl 0463.60087Albeverio, Sergio; Høegh-Krohn, Raphael 4 1980 Stochastic Lie group-valued measures and their relations to stochastic curve integrals, gauge fields and Markov cosurfaces. Zbl 0575.60068Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge 4 1986 Local and global Markoff fields. Zbl 0575.60079Albeverio, Sergio; Høegh-Krohn, Raphael 4 1984 Markov processes on infinite dimensional spaces, Markov fields and Markov cosurfaces. Zbl 0587.60097Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge 4 1985 A probability measure for random surfaces of arbitrary genus and bosonic strings in 4 dimensions. Zbl 0959.81582Albeverio, Sergio; Høegh-Krohn, Raphael; Paycha, Sylvie; Scarlatti, Sergio 4 1989 The spectrum of defect periodic point interactions. Zbl 0539.47003Høegh-Krohn, Raphael; Holden, Helge; Martinelli, Fabio 3 1983 Uniqueness of Gibbs states for general \(P(\phi)_ 2\)-weak coupling models by cluster expansion. Zbl 0698.60093Albeverio, Sergio; Høegh-Krohn, Raphael; Zegarlinski, Boguslav 3 1989 Some Markov processes and Markov fields in quantum theory, group theory, hydrodynamics and C*-algebras. Zbl 0496.60075Albeverio, Sergio; Høegh-Krohn, Raphael 3 1981 Feynman path integrals. Proceedings of the international colloquium held in Marseille, May 1978. Zbl 0404.00004 3 1979 Stationary phase for the Feynman integral and trace formula. Zbl 0514.28010Albeverio, Sergio; Blanchard, Phillip; Høegh-Krohn, Raphael 2 1980 Some remarks on Dirichlet forms and their applications to quantum mechanics and statistical mechanics. Zbl 0494.60077Albeverio, Sergio; Høegh-Krohn, Raphael 2 1982 Uniqueness and global Markov property for Euclidean fields and lattice systems. Zbl 0469.60096Albeverio, Sergio; Høegh-Krohn, Raphael 2 1980 Dynamical semigroups and Markov processes on C*-algebras. Zbl 0425.60007Albeverio, Sergio; Høegh-Krohn, Raphael; Olsen, G. 2 1980 Partly gentle perturbation with application to perturbation by annihilation-creation operators. Zbl 0155.19102Høegh-Krohn, Raphael J. 2 1967 Boson fields with bounded interaction densities. Zbl 0194.58305Høegh-Krohn, Raphael 2 1970 A class of \(N\) nonlinear hyperbolic conservation laws. Zbl 0786.35091Holden, Lars; Høegh-Krohn, Raphael 1 1990 Some Euclidean integer-valued random fields with Markov properties. Zbl 0782.60074Albeverio, Sergio; Høegh-Krohn, Raphael; Surgailis, Donatas 1 1992 Infinite dimensional analysis with applications to self-interacting boson fields in two space time dimensions. Zbl 0249.47041Høegh-Krohn, Raphael 1 1972 Feynman path integrals, the Poisson formula and the theta function for the Schrödinger operators. Zbl 0557.28011Albeverio, Sergio; Blanchard, Phillip; Høegh-Krohn, Raphael 1 1981 The short-range expansion for multiple well scattering theory. Zbl 0558.35072Holden, Helge; Høegh-Krohn, Raphael; Mebkhout, Mohammed 1 1985 Some exactly solvable models in quantum mechanics and the low energy expansions. Zbl 0562.47009Albeverio, Sergio; Høegh-Krohn, Raphael; Gesztesy, Friedrich; Holden, Helge 1 1984 The method of Dirichlet forms. Zbl 0424.60077Albeverio, Sergio; Høegh-Krohn, Raphael 1 1979 Partly gentle perturbations with application to perturbations by annihilation-cration operators. Zbl 0169.17001Høegh-Krohn, Raphael J. 1 1968 Gentle perturbations by annihilation-creation operators. Zbl 0169.17002Høegh-Krohn, Raphael J. 1 1968 The multiple well problem asymptotic behavior of the eigenvalues and resonances. Zbl 0584.35021Høegh-Krohn, Raphael; Mebkhout, Mohammed 1 1985 Schrödinger operators with point interactions and short range expansions. Zbl 0598.47005Albeverio, Sergio; Høegh-Krohn, Raphael 1 1984 The Schrödinger operator for a particle in a solid with deterministic and stochastic point interactions. Zbl 0607.35028Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge; Kirsch, W. 1 1986 Random fields with values in Lie groups and Higgs fields. Zbl 0612.60006Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge 1 1986 Some recent interactions between mathematics and physics in connection with generalized random fields. Zbl 0673.60107Albeverio, Sergio; Høegh-Krohn, Raphael 1 1987 Nonstandard methods in stochastic analysis and mathematical physics. Reprint of the 1986 original ed. Zbl 1191.60002Albeverio, Sergio; Høegh-Krohn, Raphael; Fenstad, Jens Erik; Lindstrøm, Tom 7 2009 Mathematical theory of Feynman path integrals. An introduction. 2nd corrected and enlarged edition. Zbl 1222.46001Albeverio, Sergio A.; Høegh-Krohn, Raphael J.; Mazzucchi, Sonia 53 2008 Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. Zbl 1078.81003Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 160 2005 Noncommutative distributions: unitary representation of gauge groups and algebras. Zbl 0791.22010Albeverio, Sergio; Høegh-Krohn, Raphael; Marion, Jean A.; Testard, Daniel H.; Torrésani, Bruno S. 19 1993 Schrödinger operators with potentials supported by null sets. Zbl 0795.35088Albeverio, Sergio; Fenstad, Jens Erik; Høegh-Krohn, Raphael; Karwowski, W.; Lindstrøm, Tom 6 1992 A global and stochastic analysis approach to bosonic strings and associated quantum fields. Zbl 0755.60039Albeverio, Sergio; Høegh-Krohn, Raphael; Paycha, Sylvie; Scarlatti, Sergio 5 1992 Some Euclidean integer-valued random fields with Markov properties. Zbl 0782.60074Albeverio, Sergio; Høegh-Krohn, Raphael; Surgailis, Donatas 1 1992 Classification and construction of quasisimple Lie algebras. Zbl 0792.17019Høegh-Krohn, Raphael; Torresani, Bruno 48 1990 Nonstandard methods in stochastic analysis and mathematical physics. (Nestandartnye metody v stokhasticheskom analize i matematicheskoj fizike). Transl. from the English by A. K. Zvonkin. Transl. ed. by M. A. Shubin. With a preface by Zvonkin and Shubin. (Nestandartnye metody v stokhasticheskom analize i matematicheskoj fizike.) Zbl 0734.60001Albeverio, Sergio; Fenstad, Jens Erik; Høegh-Krohn, Raphael J.; Lindstrøm, Tom L. 5 1990 A class of \(N\) nonlinear hyperbolic conservation laws. Zbl 0786.35091Holden, Lars; Høegh-Krohn, Raphael 1 1990 Stochastic flows with stationary distribution for two-dimensional inviscid fluids. Zbl 0676.76033Albeverio, Sergio; Høegh-Krohn, Raphael 14 1989 Representation and construction of multiplicative noise. Zbl 0696.60012Albeverio, Sergio; Holden, Helge; Høegh-Krohn, Raphael; Kolsrud, Torbjörn 10 1989 Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions. Zbl 0668.60093Albeverio, Sergio; Høegh-Krohn, Raphael; Zegarlinski, Boguslav 10 1989 Covariant Markovian random fields in four space-time dimensions with nonlinear electromagnetic interaction. Zbl 0722.60044Albeverio, Sergio; Høegh-Krohn, Raphael; Iwata, Koichiro 5 1989 A probability measure for random surfaces of arbitrary genus and bosonic strings in 4 dimensions. Zbl 0959.81582Albeverio, Sergio; Høegh-Krohn, Raphael; Paycha, Sylvie; Scarlatti, Sergio 4 1989 Uniqueness of Gibbs states for general \(P(\phi)_ 2\)-weak coupling models by cluster expansion. Zbl 0698.60093Albeverio, Sergio; Høegh-Krohn, Raphael; Zegarlinski, Boguslav 3 1989 Solvable models in quantum mechanics. Zbl 0679.46057Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 366 1988 A numerical method for first order nonlinear scalar conservation laws in one-dimension. Zbl 0658.65085Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael 27 1988 Stochastic multiplicative measures, generalized Markov semigroups, and group-valued stochastic processes and fields. Zbl 0639.60010Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge 10 1988 Point interactions in two dimensions: basic properties, approximations and applications in solid state physics. Zbl 0619.35030Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 7 1987 Some recent interactions between mathematics and physics in connection with generalized random fields. Zbl 0673.60107Albeverio, Sergio; Høegh-Krohn, Raphael 1 1987 Nonstandard methods in stochastic analysis and mathematical physics. Zbl 0605.60005Albeverio, Sergio; Høegh-Krohn, Raphael; Fenstad, Jens Erik; Lindstrøm, Tom 148 1986 Stochastic Lie group-valued measures and their relations to stochastic curve integrals, gauge fields and Markov cosurfaces. Zbl 0575.60068Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge 4 1986 The Schrödinger operator for a particle in a solid with deterministic and stochastic point interactions. Zbl 0607.35028Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge; Kirsch, W. 1 1986 Random fields with values in Lie groups and Higgs fields. Zbl 0612.60006Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge 1 1986 Euler flows, associated generalized random fields and Coulomb systems. Zbl 0607.76017Albeverio, Sergio; Høegh-Krohn, Raphael; Merlini, D. 5 1985 Markov processes on infinite dimensional spaces, Markov fields and Markov cosurfaces. Zbl 0587.60097Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge 4 1985 The short-range expansion for multiple well scattering theory. Zbl 0558.35072Holden, Helge; Høegh-Krohn, Raphael; Mebkhout, Mohammed 1 1985 The multiple well problem asymptotic behavior of the eigenvalues and resonances. Zbl 0584.35021Høegh-Krohn, Raphael; Mebkhout, Mohammed 1 1985 On point interactions in one dimension. Zbl 0561.35023Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Kirsch, W. 15 1984 Diffusion fields, quantum fields, and fields with values in Lie groups. Zbl 0575.60078Albeverio, Sergio; Høegh-Krohn, Raphael 12 1984 Perturbation of resonances in quantum mechanics. Zbl 0564.35026Albeverio, Sergio; Høegh-Krohn, Raphael 11 1984 Markov cosurfaces and gauge fields. Zbl 0541.60093Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge 6 1984 The short-range expansion in solid state physics. Zbl 0594.46066Holden, Helge; Høegh-Krohn, Raphael; Johannesen, Steinar 5 1984 Newtonian diffusions and planets, with a remark on non-standard Dirichlet forms and polymers. Zbl 0547.60082Albeverio, Sergio; Blanchard, Phillip; Høegh-Krohn, Raphael 4 1984 Local and global Markoff fields. Zbl 0575.60079Albeverio, Sergio; Høegh-Krohn, Raphael 4 1984 Some exactly solvable models in quantum mechanics and the low energy expansions. Zbl 0562.47009Albeverio, Sergio; Høegh-Krohn, Raphael; Gesztesy, Friedrich; Holden, Helge 1 1984 Schrödinger operators with point interactions and short range expansions. Zbl 0598.47005Albeverio, Sergio; Høegh-Krohn, Raphael 1 1984 Factorial representations of path groups. Zbl 0522.22013Albeverio, Sergio; Høegh-Krohn, Raphael; Testard, Daniel; Vershik, A. 21 1983 Low-energy parameters in nonrelativistic scattering theory. Zbl 0542.35056Albeverio, Sergio; Bollé, D.; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Streit, L. 11 1983 Local relativistic invariant flows for quantum fields. Zbl 0538.46053Albeverio, Sergio; Blanchard, Phillip; Combe, Ph.; Høegh-Krohn, Raphael; Sirugue, M. 8 1983 Charged particles with short range interactions. Zbl 0555.35111Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Streit, L. 8 1983 The \(1/r\) expansion for the critical multiple well problem. Zbl 0529.35063Høegh-Krohn, Raphael; Mebkhout, Mohammed 6 1983 The short range expansion. Zbl 0546.35019Holden, Helge; Høegh-Krohn, Raphael; Johannesen, Steinar 6 1983 A stochastic model for the orbits of planets and satellites: An interpretation of Titius-Bode law. Zbl 0533.70006Albeverio, Sergio; Høegh-Krohn, Raphael 5 1983 The spectrum of defect periodic point interactions. Zbl 0539.47003Høegh-Krohn, Raphael; Holden, Helge; Martinelli, Fabio 3 1983 Compactness and the maximal Gibbs state for random Gibbs fields on a lattice. Zbl 0495.60057Bellissard, Jean; Høegh-Krohn, Raphael 34 1982 The low energy expansion in nonrelativistic scattering theory. Zbl 0528.35076Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael 27 1982 Feynman path integrals and the trace formula for the Schrödinger operators. Zbl 0493.35039Albeverio, Sergio; Blanchard, Phillip; Høegh-Krohn, Raphael 18 1982 Diffusions, quantum fields and groups of mappings. Zbl 0492.60098Albeverio, Sergio; Høegh-Krohn, Raphael 5 1982 The spectrum of the three-dimensional Kronig-Penney model with random point defects. Zbl 0513.60062Albeverio, Sergio; Høegh-Krohn, Raphael; Kirsch, W.; Martinelli, Fabio 4 1982 Some remarks on Dirichlet forms and their applications to quantum mechanics and statistical mechanics. Zbl 0494.60077Albeverio, Sergio; Høegh-Krohn, Raphael 2 1982 Compact ergodic groups of automorphisms. Zbl 0472.46046Høegh-Krohn, Raphael; Landstad, M. B.; Størmer, Erling 39 1981 Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group. Zbl 0488.22038Albeverio, Sergio; Høegh-Krohn, Raphael; Testard, Daniel 24 1981 Point interactions as limits of short range interactions. Zbl 0501.35023Albeverio, Sergio; Høegh-Krohn, Raphael 17 1981 Classification of C*-algebras admitting ergodic actions of the two- dimensional torus. Zbl 0459.46042Høegh-Krohn, Raphael; Skjelbred, Tor 14 1981 The global Markov property for lattice systems. Zbl 0496.60047Albeverio, Sergio; Høegh-Krohn, Raphael; Olsen, G. 10 1981 Some Markov processes and Markov fields in quantum theory, group theory, hydrodynamics and C*-algebras. Zbl 0496.60075Albeverio, Sergio; Høegh-Krohn, Raphael 3 1981 Feynman path integrals, the Poisson formula and the theta function for the Schrödinger operators. Zbl 0557.28011Albeverio, Sergio; Blanchard, Phillip; Høegh-Krohn, Raphael 1 1981 Ergodic actions by compact groups on C*-algebras. Zbl 0417.46067Albeverio, Sergio; Høegh-Krohn, Raphael 11 1980 Regularization of Hamiltonians and processes. Zbl 0455.60088Albeverio, Sergio; Høegh-Krohn, Raphael; Streit, L. 10 1980 Poisson processes on groups and Feynman path integrals. Zbl 0526.22003Combe, Ph.; Høegh-Krohn, Raphael; Rodriguez, R.; Sirugue, M.; Sirugue-Collin, M. 7 1980 Martingale convergence and the exponential interaction in \(R^ n\). Zbl 0463.60087Albeverio, Sergio; Høegh-Krohn, Raphael 4 1980 Stationary phase for the Feynman integral and trace formula. Zbl 0514.28010Albeverio, Sergio; Blanchard, Phillip; Høegh-Krohn, Raphael 2 1980 Uniqueness and global Markov property for Euclidean fields and lattice systems. Zbl 0469.60096Albeverio, Sergio; Høegh-Krohn, Raphael 2 1980 Dynamical semigroups and Markov processes on C*-algebras. Zbl 0425.60007Albeverio, Sergio; Høegh-Krohn, Raphael; Olsen, G. 2 1980 Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions. Zbl 0443.60099Albeverio, Sergio; Høegh-Krohn, Raphael 37 1979 Singular perturbations and nonstandard analysis. Zbl 0424.35014Albeverio, Sergio; Fenstad, Jens Erik; Høegh-Krohn, Raphael 22 1979 Some results for the exponential interaction in two or more dimensions. Zbl 0433.60098Albeverio, Sergio; Gallavotti, G.; Høegh-Krohn, Raphael 15 1979 Feynman path integrals and the corresponding method of stationary phase. Zbl 0424.28014Albeverio, Sergio; Høegh-Krohn, Raphael 10 1979 Feynman path integrals. Proceedings of the international colloquium held in Marseille, May 1978. Zbl 0404.00004 3 1979 The method of Dirichlet forms. Zbl 0424.60077Albeverio, Sergio; Høegh-Krohn, Raphael 1 1979 Spectral properties of positive maps on \(C^*\)-algebras. Zbl 0384.46042Evans, David E.; Høegh-Krohn, Raphael 74 1978 Frobenius theory for positive maps of von Neumann algebras. Zbl 0398.46054Albeverio, Sergio; Høegh-Krohn, Raphael 43 1978 The energy representation of Sobolev-Lie groups. Zbl 0393.22013Albeverio, Sergio; Høegh-Krohn, Raphael 24 1978 Topics in infinite dimensional analysis. Zbl 0442.28018Albeverio, Sergio; Høegh-Krohn, Raphael 5 1978 Energy forms, Hamiltonians, and distorted Brownian paths. Zbl 0368.60091Albeverio, Sergio; Høegh-Krohn, Raphael; Streit, L. 78 1977 Dirichlet forms and diffusion processes on rigged Hilbert spaces. Zbl 0342.60057Albeverio, Sergio; Høegh-Krohn, Raphael 68 1977 Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics. I. Zbl 0449.35092Albeverio, Sergio; Høegh-Krohn, Raphael 42 1977 Dirichlet forms and Markov semigroups on \(C^*\)-algebras. Zbl 0384.46043Albeverio, Sergio; Høegh-Krohn, Raphael 37 1977 Hunt processes and analytic potential theory on rigged Hilbert spaces. Zbl 0382.60082Albeverio, Sergio; Høegh-Krohn, Raphael 20 1977 Mathematical theory of Feynman path integrals. Zbl 0337.28009Albeverio, Sergio A.; Høegh-Krohn, Raphael J. 81 1976 Homogeneous random fields and statistical mechanics. Zbl 0381.60049Albeverio, Sergio; Høegh-Krohn, Raphael 31 1975 The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time. Zbl 0279.60095Albeverio, Sergio; Høegh-Krohn, Raphael 40 1974 A remark on the connection between stochastic mechanics and the heat equation. Zbl 0291.60028Albeverio, Sergio; Høegh-Krohn, Raphael 26 1974 Hypercontra ctive semigroups and two dimensional self-coupled Bose fields. Zbl 0241.47029Simon, Barry; Høegh-Krohn, Raphael 104 1972 Infinite dimensional analysis with applications to self-interacting boson fields in two space time dimensions. Zbl 0249.47041Høegh-Krohn, Raphael 1 1972 Boson fields with bounded interaction densities. Zbl 0194.58305Høegh-Krohn, Raphael 2 1970 Partly gentle perturbations with application to perturbations by annihilation-cration operators. Zbl 0169.17001Høegh-Krohn, Raphael J. 1 1968 Gentle perturbations by annihilation-creation operators. Zbl 0169.17002Høegh-Krohn, Raphael J. 1 1968 Partly gentle perturbation with application to perturbation by annihilation-creation operators. Zbl 0155.19102Høegh-Krohn, Raphael J. 2 1967 all cited Publications top 5 cited Publications all top 5 Cited by 1,517 Authors 158 Albeverio, Sergio A. 40 Høegh-Krohn, Raphael J. 33 Röckner, Michael 30 Exner, Pavel 23 Kondrat’yev, Yuriĭ Grygorovych 20 Gesztesy, Fritz 19 Posilicano, Andrea 18 Malamud, Mark M. 17 Geyler, Vladimir A. 17 Michelangeli, Alessandro 16 Mazzucchi, Sonia 15 Popov, Igor’ Yur’evich 15 Zegarlinski, Boguslaw 14 Cutland, Nigel J. 14 Koshmanenko, Volodymyr Dmytrovych 14 Teta, Alessandro 13 Holden, Helge 13 Streit, Ludwig 12 Gielerak, Roman 12 Kurasov, Pavel B. 12 Simon, Barry 11 Azam, Saeid 11 Behrndt, Jussi 11 Daletskii, Alexei 10 Herzberg, Frederik S. 10 Mukhamedov, Farruh Maksutovich 10 Pasurek, Tatiana 10 Risebro, Nils Henrik 10 Šeba, Petr 9 Osswald, Horst 9 Pautrat, Yan 9 Tan, Shao Bin 9 Zambrini, Jean-Claude 8 Blanchard, Philippe 8 Cacciapuoti, Claudio 8 Dell’Antonio, Gian Fausto 8 Figari, Rodolfo 8 Katz, Mikhail G. 8 Kumanogo, Naoto 8 Noja, Diego 7 Bogachev, Vladimir Igorevich 7 Borisov, Denis Ivanovich 7 Carlone, Raffaele 7 Cho, Dong Hyun 7 Grothaus, Martin 7 Hughes, Rhonda Jo 7 Kostenko, Aleksey S. 7 Kozitsky, Yuri Vasil’evich 7 Léandre, Rémi 7 Lotoreichik, Vladimir 7 Neeb, Karl-Hermann 7 Neidhardt, Hagen 7 Nizhnik, Leonid Pavlovich 7 Seiringer, Robert 7 Sun, Yeneng 7 Wu, Jianglun 6 Angulo Pava, Jaime 6 Bock, Wolfgang 6 Chen, Fulin 6 Cheon, Taksu 6 Chuburin, Yuriĭ Pavlovich 6 Fermi, Davide 6 Finco, Domenico 6 Gadella, Manuel 6 Haba, Zbigniew 6 Karabash, Illya M. 6 Karwowski, Witold 6 Ng, Siu-Ah 6 Olkiewicz, Robert 6 Pankrashkin, Konstantin 6 Pillet, Claude-Alain 6 Scandone, Raffaele 6 Sini, Mourad 6 Vershik, Anatoliĭ Moiseevich 5 Brasche, Johannes Friedemann 5 Brzeźniak, Zdzisław 5 Carbone, Raffaella 5 Correggi, Michele 5 Cruzeiro, Ana-Bela 5 Driver, Bruce K. 5 Farjoun, Yossi 5 Ferrario, Benedetta 5 Griesemer, Marcel 5 Holzmann, Markus 5 Lakaev, Saidakhmat Norzhigitovich 5 Muminov, Zahriddin Ishkobilovich 5 Mykhaĭlets’, Volodymyr Andriĭovych 5 Nagasawa, Tomoaki 5 Nicola, Fabio 5 Paycha, Sylvie 5 Rezende, Jorge 5 Sacchetti, Andrea 5 Seibold, Benjamin 5 Shafarevich, Andreĭ Igorevich 5 Sirugue, Michel 5 Skoug, David 5 Smolyanov, Oleg Georgievich 5 Tentarelli, Lorenzo 5 Teschl, Gerald 5 Truman, Aubrey ...and 1,417 more Authors all top 5 Cited in 305 Serials 134 Journal of Mathematical Physics 120 Journal of Functional Analysis 98 Communications in Mathematical Physics 42 Letters in Mathematical Physics 38 Reports on Mathematical Physics 33 Journal of Mathematical Analysis and Applications 33 Journal of Statistical Physics 31 Annales Henri Poincaré 30 Theoretical and Mathematical Physics 30 Reviews in Mathematical Physics 24 Infinite Dimensional Analysis, Quantum Probability and Related Topics 22 Transactions of the American Mathematical Society 21 Acta Applicandae Mathematicae 20 Physics Letters. A 20 Proceedings of the American Mathematical Society 18 Mathematical Notes 18 Journal of Geometry and Physics 18 Annals of Physics 18 Journal of Mathematical Sciences (New York) 17 Journal of Physics A: Mathematical and Theoretical 16 Integral Equations and Operator Theory 16 Journal of Algebra 16 Journal of Differential Equations 15 Potential Analysis 14 International Journal of Theoretical Physics 14 Probability Theory and Related Fields 13 Advances in Mathematics 13 Functional Analysis and its Applications 12 Ukrainian Mathematical Journal 12 Stochastic Processes and their Applications 12 Annales de l’Institut Henri Poincaré. Physique Théorique 11 Communications in Algebra 10 Mathematische Zeitschrift 10 Bulletin des Sciences Mathématiques 9 Journal of Soviet Mathematics 9 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Journal d’Analyse Mathématique 8 Mathematische Nachrichten 8 Siberian Mathematical Journal 8 Russian Journal of Mathematical Physics 8 Complex Analysis and Operator Theory 7 Nuclear Physics. B 7 Annales de l’Institut Fourier 7 The Annals of Probability 7 Lobachevskii Journal of Mathematics 7 Differential Equations 7 Advances in Mathematical Physics 6 Israel Journal of Mathematics 6 Journal of Computational Physics 6 Inventiones Mathematicae 6 Stochastic Analysis and Applications 6 Linear Algebra and its Applications 6 Doklady Mathematics 5 SIAM Journal on Mathematical Analysis 5 Mathematical Physics, Analysis and Geometry 5 Journal of High Energy Physics 4 Modern Physics Letters A 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Rocky Mountain Journal of Mathematics 4 Monatshefte für Mathematik 4 Nagoya Mathematical Journal 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the Japan Academy. Series A 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Advances in Applied Mathematics 4 Zeitschrift für Analysis und ihre Anwendungen 4 Annals of Pure and Applied Logic 4 Journal of Theoretical Probability 4 Annales Mathématiques Blaise Pascal 4 Communications on Pure and Applied Analysis 4 Stochastics 4 Science China. Mathematics 3 Physics Letters. B 3 Physics Reports 3 Stochastics 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 3 Applied Mathematics and Computation 3 Applied Mathematics and Optimization 3 Canadian Journal of Mathematics 3 Mathematische Annalen 3 Studia Logica 3 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 3 Physica D 3 International Journal of Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Expositiones Mathematicae 3 Indagationes Mathematicae. New Series 3 Turkish Journal of Mathematics 3 Integral Transforms and Special Functions 3 Positivity 3 New Journal of Physics 3 Acta Mathematica Sinica. English Series 3 Computational Geosciences 3 Foundations of Science 3 Physical Review Letters 3 Czechoslovak Journal of Physics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Multiscale Modeling & Simulation 3 Proceedings of the Steklov Institute of Mathematics ...and 205 more Serials all top 5 Cited in 61 Fields 691 Quantum theory (81-XX) 431 Operator theory (47-XX) 395 Partial differential equations (35-XX) 394 Probability theory and stochastic processes (60-XX) 284 Functional analysis (46-XX) 164 Statistical mechanics, structure of matter (82-XX) 117 Ordinary differential equations (34-XX) 113 Measure and integration (28-XX) 104 Global analysis, analysis on manifolds (58-XX) 73 Mathematical logic and foundations (03-XX) 60 Nonassociative rings and algebras (17-XX) 58 Topological groups, Lie groups (22-XX) 50 Dynamical systems and ergodic theory (37-XX) 47 Potential theory (31-XX) 46 Real functions (26-XX) 40 Fluid mechanics (76-XX) 31 Numerical analysis (65-XX) 27 Mechanics of particles and systems (70-XX) 23 Differential geometry (53-XX) 21 Relativity and gravitational theory (83-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Combinatorics (05-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Group theory and generalizations (20-XX) 15 Optics, electromagnetic theory (78-XX) 15 Information and communication theory, circuits (94-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Functions of a complex variable (30-XX) 11 General topology (54-XX) 11 Systems theory; control (93-XX) 10 Abstract harmonic analysis (43-XX) 10 Integral equations (45-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 8 History and biography (01-XX) 8 Associative rings and algebras (16-XX) 7 Approximations and expansions (41-XX) 7 Computer science (68-XX) 6 General and overarching topics; collections (00-XX) 6 Integral transforms, operational calculus (44-XX) 6 Statistics (62-XX) 5 Number theory (11-XX) 5 Algebraic geometry (14-XX) 5 \(K\)-theory (19-XX) 5 Difference and functional equations (39-XX) 5 Mechanics of deformable solids (74-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Manifolds and cell complexes (57-XX) 4 Geophysics (86-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 3 Special functions (33-XX) 2 Category theory; homological algebra (18-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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