## Ressel, Paul

Compute Distance To:
 Author ID: ressel.paul Published as: Ressel, Paul; Ressel, P.
 Documents Indexed: 52 Publications since 1974, including 1 Book Reviewing Activity: 86 Reviews Co-Authors: 9 Co-Authors with 20 Joint Publications 132 Co-Co-Authors
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### Co-Authors

 32 single-authored 6 Christensen, Jens Peter Reus 4 Bloom, Walter R. 3 Berg, Christian 3 Ricker, Werner Joseph 2 Hirth, Ulrich Martin 1 Hoffmann-Jørgensen, Jørgen 1 Maack Bisgaard, Torben 1 Mercadier, Cécile 1 Schmidtchen, Walter
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### Serials

 4 Journal of Multivariate Analysis 4 Mathematica Scandinavica 4 Dependence Modeling 3 Proceedings of the American Mathematical Society 3 Journal of Theoretical Probability 3 Positivity 2 The Annals of Probability 2 Archiv der Mathematik 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Probability Theory and Related Fields 1 Canadian Journal of Mathematics 1 Semigroup Forum 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Statistics & Probability Letters 1 Journal of the Australian Mathematical Society. Series A 1 Electronic Communications in Probability 1 Journal of the Australian Mathematical Society 1 Graduate Texts in Mathematics 1 Journal of Mathematical Inequalities
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### Fields

 28 Probability theory and stochastic processes (60-XX) 23 Abstract harmonic analysis (43-XX) 11 Functional analysis (46-XX) 9 Real functions (26-XX) 9 Statistics (62-XX) 7 Measure and integration (28-XX) 6 Integral transforms, operational calculus (44-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Operator theory (47-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX)

### Citations contained in zbMATH Open

40 Publications have been cited 440 times in 364 Documents Cited by Year
Harmonic analysis on semigroups. Theory of positive definite and related functions. Zbl 0619.43001
Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul
1984
Positive definite functions on Abelian semigroups. Zbl 0331.43010
Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul
1976
Homogeneous distributions – and a spectral representation of classical mean values and stable tail dependence functions. Zbl 1283.60021
Ressel, Paul
2013
De Finetti-type theorems: An analytical approach. Zbl 0579.60012
Ressel, Paul
1985
Some continuity and measurability results on spaces of measures. Zbl 0372.28010
Ressel, Paul
1977
Monotonicity properties of multivariate distribution and survival functions – with an application to Lévy-frailty copulas. Zbl 1209.60010
Ressel, Paul
2011
Functions operating on positive definite matrices and a theorem of Schoenberg. Zbl 0394.15011
Christensen, Jens Peter Reus; Ressel, Paul
1978
Unique disintegration of arbitrary positive definite functions on $$*$$- divisible semigroups. Zbl 0739.43006
Bisgaard, Torben M.; Ressel, Paul
1989
Higher order monotonic functions of several variables. Zbl 1307.26010
Ressel, Paul
2014
Functions operating on multivariate distribution and survival functions - With applications to classical mean-values and to copulas. Zbl 1235.62057
Ressel, Paul
2012
A short proof of Schoenberg’s theorem. Zbl 0332.43008
Ressel, Paul
1976
Semigroups in probability theory. Zbl 0823.60011
Ressel, Paul
1991
Positive definite kernels on the complex Hilbert sphere. Zbl 0572.43004
Christensen, Jens Peter Reus; Ressel, Paul
1982
Laplace-Transformation nichtnegativer und vektorwertiger Maße. Zbl 0289.44001
Ressel, Paul
1974
Exponentially bounded positive-definite functions on a commutative hypergroup. Zbl 0877.43005
Bloom, Walter R.; Ressel, Paul
1996
Bochner’s theorem for finite-dimensional conelike semigroups. Zbl 0790.43008
Ressel, Paul
1993
Positive definite and related functions on hypergroups. Zbl 0724.43005
Bloom, Walter R.; Ressel, Paul
1991
Exchangeability and semigroups. Zbl 1159.60017
Ressel, Paul
2008
A probabilistic characterisation of negative definite and completely alternating functions. Zbl 0474.60016
Christensen, Jens Peter Reus; Ressel, Paul
1981
Weak convergence of certain vectorvalued measures. Zbl 0291.28011
Ressel, Paul
1974
A multivariate version of Williamson’s theorem, $$\ell^1$$-symmetric survival functions, and generalized Archimedean copulas. Zbl 1434.62085
Ressel, Paul
2018
Finite exchangeability, Lévy-frailty copulas and higher-order monotonic sequences. Zbl 1277.60031
Ressel, Paul
2013
Copulas, stable tail dependence functions, and multivariate monotonicity. Zbl 1445.62107
Ressel, Paul
2019
Full subordination and a Radon Nikodym theorem for c.a.o.s. measures. Zbl 0364.60015
Ressel, Paul
1976
The Hornich-Hlawka inequality and Bernstein functions. Zbl 1333.26009
Ressel, Paul
2015
Integral representations on convex semigroups. Zbl 0659.43006
Ressel, Paul
1987
On completely monotone functions on $$C_+(X)$$. Zbl 0419.46021
Hoffmann-Jørgensen, Jørgen; Ressel, P.
1977
Exchangeable random orders and almost uniform distributions. Zbl 0971.60016
Hirth, Ulrich; Ressel, Paul
2000
Negative definite and Schoenberg functions on commutative hypergroups. Zbl 1084.43006
Bloom, Walter R.; Ressel, Paul
2005
Hoeffding-Sobol decomposition of homogeneous co-survival functions: from Choquet representation to extreme value theory application. Zbl 07478931
2021
Une forme abstraite du théorème de Schoenberg. Zbl 0373.43005
Berg, Christian; Ressel, Paul
1978
Integral representations for distributions of symmetric stochastic processes. Zbl 0655.60032
Ressel, Paul
1988
A topological version of Slutsky’s theorem. Zbl 0501.60008
Ressel, Paul
1982
A general Hoeffding type inequality. Zbl 0501.60026
Ressel, Paul
1982
Representations of negative definite functions on polynomial hypergroups. Zbl 0999.43006
Bloom, Walter R.; Ressel, Paul
2002
Non-homogeneous de Finetti-type theorems. Zbl 0793.60003
Ressel, Paul
1994
Subdiagonal and almost uniform distributions. Zbl 1010.60023
Ressel, Paul
2002
Random partitions by semigroup methods. Zbl 0952.60041
Hirth, Ulrich; Ressel, Paul
1999
A revision of Kimberling’s results – with an application to max-infinite divisibility of some Archimedean copulas. Zbl 1207.60010
Ressel, Paul
2011
Higher order monotonic (multi-) sequences and their extreme points. Zbl 1286.46010
Ressel, Paul
2013
Hoeffding-Sobol decomposition of homogeneous co-survival functions: from Choquet representation to extreme value theory application. Zbl 07478931
2021
Copulas, stable tail dependence functions, and multivariate monotonicity. Zbl 1445.62107
Ressel, Paul
2019
A multivariate version of Williamson’s theorem, $$\ell^1$$-symmetric survival functions, and generalized Archimedean copulas. Zbl 1434.62085
Ressel, Paul
2018
The Hornich-Hlawka inequality and Bernstein functions. Zbl 1333.26009
Ressel, Paul
2015
Higher order monotonic functions of several variables. Zbl 1307.26010
Ressel, Paul
2014
Homogeneous distributions – and a spectral representation of classical mean values and stable tail dependence functions. Zbl 1283.60021
Ressel, Paul
2013
Finite exchangeability, Lévy-frailty copulas and higher-order monotonic sequences. Zbl 1277.60031
Ressel, Paul
2013
Higher order monotonic (multi-) sequences and their extreme points. Zbl 1286.46010
Ressel, Paul
2013
Functions operating on multivariate distribution and survival functions - With applications to classical mean-values and to copulas. Zbl 1235.62057
Ressel, Paul
2012
Monotonicity properties of multivariate distribution and survival functions – with an application to Lévy-frailty copulas. Zbl 1209.60010
Ressel, Paul
2011
A revision of Kimberling’s results – with an application to max-infinite divisibility of some Archimedean copulas. Zbl 1207.60010
Ressel, Paul
2011
Exchangeability and semigroups. Zbl 1159.60017
Ressel, Paul
2008
Negative definite and Schoenberg functions on commutative hypergroups. Zbl 1084.43006
Bloom, Walter R.; Ressel, Paul
2005
Representations of negative definite functions on polynomial hypergroups. Zbl 0999.43006
Bloom, Walter R.; Ressel, Paul
2002
Subdiagonal and almost uniform distributions. Zbl 1010.60023
Ressel, Paul
2002
Exchangeable random orders and almost uniform distributions. Zbl 0971.60016
Hirth, Ulrich; Ressel, Paul
2000
Random partitions by semigroup methods. Zbl 0952.60041
Hirth, Ulrich; Ressel, Paul
1999
Exponentially bounded positive-definite functions on a commutative hypergroup. Zbl 0877.43005
Bloom, Walter R.; Ressel, Paul
1996
Non-homogeneous de Finetti-type theorems. Zbl 0793.60003
Ressel, Paul
1994
Bochner’s theorem for finite-dimensional conelike semigroups. Zbl 0790.43008
Ressel, Paul
1993
Semigroups in probability theory. Zbl 0823.60011
Ressel, Paul
1991
Positive definite and related functions on hypergroups. Zbl 0724.43005
Bloom, Walter R.; Ressel, Paul
1991
Unique disintegration of arbitrary positive definite functions on $$*$$- divisible semigroups. Zbl 0739.43006
Bisgaard, Torben M.; Ressel, Paul
1989
Integral representations for distributions of symmetric stochastic processes. Zbl 0655.60032
Ressel, Paul
1988
Integral representations on convex semigroups. Zbl 0659.43006
Ressel, Paul
1987
De Finetti-type theorems: An analytical approach. Zbl 0579.60012
Ressel, Paul
1985
Harmonic analysis on semigroups. Theory of positive definite and related functions. Zbl 0619.43001
Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul
1984
Positive definite kernels on the complex Hilbert sphere. Zbl 0572.43004
Christensen, Jens Peter Reus; Ressel, Paul
1982
A topological version of Slutsky’s theorem. Zbl 0501.60008
Ressel, Paul
1982
A general Hoeffding type inequality. Zbl 0501.60026
Ressel, Paul
1982
A probabilistic characterisation of negative definite and completely alternating functions. Zbl 0474.60016
Christensen, Jens Peter Reus; Ressel, Paul
1981
Functions operating on positive definite matrices and a theorem of Schoenberg. Zbl 0394.15011
Christensen, Jens Peter Reus; Ressel, Paul
1978
Une forme abstraite du théorème de Schoenberg. Zbl 0373.43005
Berg, Christian; Ressel, Paul
1978
Some continuity and measurability results on spaces of measures. Zbl 0372.28010
Ressel, Paul
1977
On completely monotone functions on $$C_+(X)$$. Zbl 0419.46021
Hoffmann-Jørgensen, Jørgen; Ressel, P.
1977
Positive definite functions on Abelian semigroups. Zbl 0331.43010
Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul
1976
A short proof of Schoenberg’s theorem. Zbl 0332.43008
Ressel, Paul
1976
Full subordination and a Radon Nikodym theorem for c.a.o.s. measures. Zbl 0364.60015
Ressel, Paul
1976
Laplace-Transformation nichtnegativer und vektorwertiger Maße. Zbl 0289.44001
Ressel, Paul
1974
Weak convergence of certain vectorvalued measures. Zbl 0291.28011
Ressel, Paul
1974
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### Cited by 437 Authors

 24 Ressel, Paul 14 Maack Bisgaard, Torben 14 Mai, Jan-Frederik 12 Menegatto, Valdir Antonio 9 Berg, Christian 8 Scherer, Matthias 7 Jørgensen, Palle E. T. 6 Guillot, Dominique 6 Kuhlmann, Salma 6 Ma, Chunsheng 6 Peron, Ana Paula 6 Schlather, Martin 6 Stochel, Jan 5 Christensen, Jens Peter Reus 5 Khare, Apoorva 5 Mirotin, Adol’f Rubimovich 5 Oliveira, Claudemir P. 5 Porcu, Emilio 5 Segers, Johan 4 Atanasiu, Dragu 4 Chavan, Sameer Laxman 4 Guella, Jean Carlo 4 Molchanov, Ilya S. 4 Neeb, Karl-Hermann 4 Olteanu, Octav 4 Rajaratnam, Bala 4 Strokorb, Kirstin 4 Youssfi, El Hassan 3 Albeverio, Sergio A. 3 Buescu, Jorge 3 Ghasemi, Mehdi 3 Gnedin, Alexander V. 3 Hofert, Marius 3 Infusino, Maria 3 Jabłoński, Zenon Jan 3 Lahti, Pekka Johannes 3 Macheras, Nikolaos Demetrios 3 Marshall, Murray Angus 3 Maserick, Peter Harrington 3 Mercadier, Cécile 3 Pečarić, Josip 3 Pedersen, Henrik Laurberg 3 Roustant, Olivier 3 Schölkopf, Bernhard 3 Shenkman, Natalia 3 Strauss, Werner 3 Tabatabaie, Seyyed Mohammad 2 Alpay, Daniel Aron 2 Athavale, Ameer 2 Belton, Alexander C. R. 2 Bogachev, Vladimir Igorevich 2 Buchwalter, Henri 2 Burke, Maxim R. 2 Castro, Mario H. 2 Chafaï, Djalil 2 Cichoń, Dariusz 2 Einmahl, John H. J. 2 Engländer, János 2 Fougères, Anne-Laure 2 Genest, Christian 2 Gesztesy, Fritz 2 Gnecco, Giorgio 2 Gretton, Arthur 2 Haagerup, Uffe Valentin 2 Hartley, Richard I. 2 Huser, Raphaël 2 Jardas, Cvetan 2 Jung, Il Bong 2 Kabluchko, Zakhar A. 2 Kakihara, Yûichirô 2 Kimsey, David Patrick 2 Kiriliouk, Anna 2 Kiukas, Jukka 2 Lakaev, Saidakhmat Norzhigitovich 2 Lasserre, Jean-Bernard 2 Lefèvre, Claude 2 Mateu, Jorge 2 Meerschaert, Mark Marvin 2 Musial, Kazimierz 2 Naveau, Philippe 2 Nešlehová, Johanna G. 2 Niemi, Hannu 2 Oesting, Marco 2 Paixão, A. C. 2 Pang, Michael M. H. 2 Pearse, Erin Peter James 2 Pinkus, Allan M. 2 Pitman, Jim William 2 Putinar, Mihai 2 Regazzini, Eugenio 2 Sakakibara, Nobuhisa 2 Salzmann, Mathieu 2 Sanguineti, Marcello 2 Sarapa, Nikola 2 Scheffler, Hans-Peter 2 Schenk, Steffen 2 Schief, Andreas 2 Schilling, René Leander 2 Schmüdgen, Konrad 2 Shanbhag, Damodar N. ...and 337 more Authors
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### Cited in 141 Serials

 17 Journal of Multivariate Analysis 12 Transactions of the American Mathematical Society 11 Proceedings of the American Mathematical Society 11 Journal of Theoretical Probability 11 Extremes 11 Dependence Modeling 10 Mathematische Annalen 10 Positivity 9 Mathematische Zeitschrift 9 Probability Theory and Related Fields 8 Bernoulli 7 Journal of Mathematical Analysis and Applications 7 Integral Equations and Operator Theory 7 Semigroup Forum 6 The Annals of Statistics 5 The Journal of Fourier Analysis and Applications 4 Israel Journal of Mathematics 4 Journal of Statistical Physics 4 Rocky Mountain Journal of Mathematics 4 The Annals of Probability 4 Archiv der Mathematik 4 Czechoslovak Mathematical Journal 4 Journal of Functional Analysis 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Statistics & Probability Letters 4 Stochastic Processes and their Applications 4 Complex Analysis and Operator Theory 3 Arkiv för Matematik 3 Manuscripta Mathematica 3 Mathematica Slovaca 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Topology and its Applications 3 Integral Transforms and Special Functions 2 Advances in Applied Probability 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Mathematical Notes 2 Studia Mathematica 2 Acta Mathematica 2 Annals of the Institute of Statistical Mathematics 2 Journal of Applied Probability 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 Stochastic Analysis and Applications 2 Acta Mathematica Hungarica 2 Machine Learning 2 The Annals of Applied Probability 2 Expositiones Mathematicae 2 Computational Statistics and Data Analysis 2 Mathematical Programming. Series A. Series B 2 Potential Analysis 2 Computational Optimization and Applications 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Probability 2 Mathematical Inequalities & Applications 2 Acta Mathematica Sinica. English Series 2 Analysis and Applications (Singapore) 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 AStA. Advances in Statistical Analysis 2 Electronic Journal of Statistics 2 Mathematical Geosciences 2 Statistics and Computing 2 International Journal of Analysis 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 Ukrainian Mathematical Journal 1 Acta Scientiarum Mathematicarum 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of the Korean Mathematical Society 1 Journal of Soviet Mathematics 1 Journal of Statistical Planning and Inference 1 Kybernetika 1 Mathematica Scandinavica 1 Mathematika 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Statistica 1 Statistica Neerlandica 1 Insurance Mathematics & Economics 1 Constructive Approximation 1 Statistical Science 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Science in China. Series A 1 Signal Processing 1 Japan Journal of Industrial and Applied Mathematics 1 MSCS. Mathematical Structures in Computer Science ...and 41 more Serials
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### Cited in 49 Fields

 136 Probability theory and stochastic processes (60-XX) 78 Abstract harmonic analysis (43-XX) 77 Statistics (62-XX) 63 Functional analysis (46-XX) 54 Operator theory (47-XX) 37 Integral transforms, operational calculus (44-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 24 Measure and integration (28-XX) 21 Functions of a complex variable (30-XX) 17 Real functions (26-XX) 17 Computer science (68-XX) 15 Special functions (33-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Topological groups, Lie groups (22-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Combinatorics (05-XX) 10 Numerical analysis (65-XX) 7 Approximations and expansions (41-XX) 7 Quantum theory (81-XX) 7 Operations research, mathematical programming (90-XX) 6 Group theory and generalizations (20-XX) 6 Potential theory (31-XX) 6 General topology (54-XX) 5 Number theory (11-XX) 5 Algebraic geometry (14-XX) 5 Partial differential equations (35-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Field theory and polynomials (12-XX) 4 Difference and functional equations (39-XX) 4 Convex and discrete geometry (52-XX) 4 Geophysics (86-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Information and communication theory, circuits (94-XX) 2 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX)