Edit Profile (opens in new tab) Szafraniec, Franciszek Hugon Compute Distance To: Compute Author ID: szafraniec.franciszek-hugon Published as: Szafraniec, Franciszek Hugon; Szafraniec, F. H.; Szafraniec, Franciszek H. more...less Homepage: https://apacz.matinf.uj.edu.pl/users/199-franiciszek_hugon-szafraniec External Links: MacTutor · MGP · ORCID · Wikidata · dblp · GND Documents Indexed: 138 Publications since 1963 3 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 32 Co-Authors with 68 Joint Publications 866 Co-Co-Authors all top 5 Co-Authors 74 single-authored 26 Stochel, Jan 7 Cichoń, Dariusz 6 de Snoo, Hendrik S. V. 6 Hassi, Seppo 6 Horzela, Andrzej 4 Górska, Katarzyna 4 Lasota, Andrzej 4 Marcellán Español, Francisco 3 Debergh, Nathalie 3 Gazeau, Jean-Pierre 3 Wojtylak, Michał 2 Beckers, Jules 2 García, Antonio G. 2 Janas, Jan 2 Ôta, Schôichi 1 Albrecht, Ernst 1 Ali, Syed Twareque 1 Bagarello, Fabio 1 Becker, Jules 1 Colojoară, Ion 1 Dales, C. 1 Eschmeier, Jorg 1 Foiaş, Ciprian Ilie 1 Hernández-Medina, Miguel Ángel 1 Jabłoński, Zenon Jan 1 Jonas, Peter 1 Langer, Heinz 1 Larson, David Royal 1 Maserick, Peter Harrington 1 Mlak, Włodzimierz 1 Möller, Manfred 1 Neidhart, H. 1 Neumann, Michael M. 1 Niechwiej, Jan 1 Olech, Czesław 1 Peller, Vladimir Vsevolodovich 1 Philipp, Friedrich 1 Pták, Vlastimil 1 Putinar, Mihai 1 Radjabalipour, Mehdi 1 Sebestyén, Zoltán 1 Sinclair, Allan M. 1 Szőkefalvi-Nagy, Béla 1 Trunk, Carsten 1 Vasilescu, Florian-Horia 1 Widom, Harold 1 Young, N. G. 1 Zemánek, Jaroslav 1 Znojil, Miloslav all top 5 Serials 9 Annales Polonici Mathematici 8 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 4 Journal of Mathematical Analysis and Applications 4 Acta Scientiarum Mathematicarum 4 Journal of Computational and Applied Mathematics 4 Proceedings of the American Mathematical Society 3 Studia Mathematica 2 Physics Letters. A 2 Reports on Mathematical Physics 2 Glasgow Mathematical Journal 2 Journal of Functional Analysis 2 Numerical Algorithms 2 Expositiones Mathematicae 2 Journal of Physics A: Mathematical and Theoretical 2 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Prace Matematyczne 1 Communications in Mathematical Physics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Arkiv för Matematik 1 Colloquium Mathematicum 1 Dissertationes Mathematicae 1 Indagationes Mathematicae 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Portugaliae Mathematica 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Annals of Physics 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Indagationes Mathematicae. New Series 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Integral Transforms and Special Functions 1 Positivity 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Sampling Theory in Signal and Image Processing 1 Complex Variables and Elliptic Equations 1 Banach Center Publications 1 London Mathematical Society Lecture Note Series 1 Complex Analysis and Operator Theory 1 Operators and Matrices 1 Wiadomości Matematyczne 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Acta Mathematica all top 5 Fields 93 Operator theory (47-XX) 31 Functional analysis (46-XX) 23 Quantum theory (81-XX) 15 Integral transforms, operational calculus (44-XX) 13 Functions of a complex variable (30-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Abstract harmonic analysis (43-XX) 9 Special functions (33-XX) 5 General and overarching topics; collections (00-XX) 5 Several complex variables and analytic spaces (32-XX) 4 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 641 times in 329 Documents Cited by ▼ Year ▼ On normal extensions of unbounded operators. II. Zbl 0698.47003Stochel, J.; Szafraniec, F. H. 42 1989 Componentwise and Cartesian decompositions of linear relations. Zbl 1225.47004Hassi, S.; De Snoo, H. S. V.; Szafraniec, F. H. 41 2009 On normal extensions of unbounded operators. I. Zbl 0613.47022Stochel, J.; Szafraniec, F. H. 36 1985 The complex moment problem and subnormality: A polar decomposition approach. Zbl 1048.47500Stochel, Jan; Szafraniec, Franciszek Hugon 35 1998 Non-selfadjoint operators in quantum physics. Mathematical aspects. Zbl 1329.81021 34 2015 Boundedness of the shift operator related to positive definite forms: An application to moment problems. Zbl 0504.47030Szafraniec, F. H. 27 1981 On normal extensions of unbounded operators. III: Spectral properties. Zbl 0721.47009Stochel, Jan; Szafraniec, Franciszek H. 26 1989 The reproducing kernel property and its space: the basics. Zbl 1342.46026Szafraniec, Franciszek Hugon 18 2015 A canonical decomposition for linear operators and linear relations. Zbl 1136.47001Hassi, S.; Sebestyén, Z.; de Snoo, H. S. V.; Szafraniec, F. H. 18 2007 Holomorphic Hermite polynomials and a non-commutative plane. Zbl 1232.81025Gazeau, Jean Pierre; Szafraniec, Franciszek Hugon 13 2011 Murphy’s “Positive definite kernels and Hilbert \(C^{*}\)-modules” reorganized. Zbl 1214.46037Szafraniec, Franciszek Hugon 13 2010 Squeezed states and Hermite polynomials in a complex variable. Zbl 1315.81053Ali, S. Twareque; Górska, K.; Horzela, A.; Szafraniec, F. H. 12 2014 Extending positive definiteness. Zbl 1213.43006Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon 11 2011 Dilation on involution semigroups. Zbl 0369.47004Szafraniec, F. H. 11 1977 Domination of unbounded operators and commutativity. Zbl 1037.47003Stochel, Jan; Szafraniec, Franciszek Hugon 11 2003 The reproducing kernel Hilbert space and its multiplication operators. Zbl 0965.46013Szafraniec, Franciszek Hugon 10 2000 On the boundedness condition involved in dilation theory. Zbl 0343.47003Szafraniec, F. H. 10 1976 Subnormality in the quantum harmonic oscillator. Zbl 0971.81052Szafraniec, Franciszek Hugon 10 2000 \(C^ \infty\)-vectors and boundedness. Zbl 0874.47002Stochel, Jan; Szafraniec, F. H. 10 1997 Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces. Zbl 1270.46022García, Antonio G.; Hernández-Medina, Miguel A.; Szafraniec, Franciszek Hugon 9 2013 Algebraic operators and moments on algebraic sets. Zbl 0815.47058Stochel, Jan; Szafraniec, F. H. 9 1994 Multipliers in the reproducing kernel Hilbert space, subnormality and noncommutative complex analysis. Zbl 1065.47025Szafraniec, Franciszek Hugon 9 2003 Operator methods for boundary value problems. Zbl 1269.47001 8 2012 On normal extensions of unbounded operators. IV: A matrix construction. Zbl 1106.47021Szafraniec, Franciszek Hugon 8 2006 The normal part of an unbounded operator. Zbl 0699.47020Stochel, Jan; Szafraniec, F. H. 8 1989 Infinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations. Zbl 1262.47003Hassi, S.; de Snoo, H. S. V.; Szafraniec, F. H. 8 2012 The Sz.-Nagy “théorème principal” extended. Application to subnormality. Zbl 0817.47010Szafraniec, F. H. 8 1993 Unbounded weighted shifts and subnormality. Zbl 0675.47011Stochel, Jan; Szafraniec, F. H. 8 1989 A few assorted questions about unbounded subnormal operators. Zbl 0748.47015Stochel, Jan; Szafraniec, Franciszek Hugon 7 1991 The reproducing kernel property and its space: more or less standard examples of applications. Zbl 1342.46027Szafraniec, Franciszek Hugon 7 2015 Adjoints and formal adjoints of matrices of unbounded operators. Zbl 1153.47002Möller, Manfred; Szafraniec, Franciszek Hugon 7 2008 Naimark extensions for indeterminacy in the moment problem. An example. Zbl 1239.44002Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon 6 2010 A measure-free approach to coherent states. Zbl 1253.81075Horzela, Andrzej; Szafraniec, Franciszek Hugon 6 2012 Analytic models of the quantum harmonic oscillator. Zbl 0899.47017Szafraniec, Franciszek Hugon 6 1998 Kato-Protter type inequalities, bounded vectors and the exponential function. Zbl 0733.47038Szafraniec, F. H. 5 1990 On extending backwards positive definite sequences. Zbl 0784.44007Szafraniec, Franciszek Hugon 5 1992 Sur les solutions périodiques d’une équation différentielle ordinaire d’ordre n. Zbl 0166.08601Lasota, A.; Szafraniec, F. H. 5 1966 The Sobolev-type moment problem. Zbl 0951.44002Marcellán, Francisco; Szafraniec, Franciszek Hugon 4 2000 Bounded vectors and formally normal operators. Zbl 0544.47020Stochel, J.; Szafraniec, F. H. 4 1983 Bounded normal operators in Pontryagin spaces. Zbl 1108.47021Langer, Heinz; Szafraniec, Franciszek Hugon 4 2006 A peculiarity of the creation operator. Zbl 1045.47023Stochel, Jan; Szafraniec, Franciszek Hugon 4 2002 A matrix algorithm towards solving the moment problem of Sobolev type. Zbl 0980.65049Marcellán, Francisco; Szafraniec, Franciszek Hugon 4 2001 Unitary dilation of several contractions. Zbl 0986.43004Stochel, Jan; Szafraniec, Franciszek Hugon 4 2001 Framings and dilations. Zbl 1349.42063Larson, David R.; Szafraniec, Franciszek Hugon 4 2013 Sur les fonctions admettant une extension de type positif. Zbl 0457.47034Szafraniec, Franciszek Hugon 3 1981 Riesz-haviland criterion for incomplete data. Zbl 1214.30020Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon 3 2011 Charlier polynomials and translational invariance in the quantum harmonic oscillator. Zbl 0995.33005Szafraniec, Franciszek Hugon 3 2002 Notes on \(q\)-deformed operators. Zbl 1080.47001Ôta, Schôichi; Szafraniec, Franciszek Hugon 3 2004 On bounded holomorphic interpolation in several variables. Zbl 0578.32008Szafraniec, F. H. 3 1986 Unitary propagation of operator data. Zbl 1144.47014Jabłonski, Zenon J.; Stochel, Jan; Szafraniec, Franciszek Hugon 3 2007 Three term recurrence relation modulo ideal and orthogonality of polynomials of several variables. Zbl 1070.42013Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon 3 2005 Q-positive definiteness and related operators. Zbl 1153.47302Ôta, Schôichi; Szafraniec, Franciszek Hugon 3 2007 Three paths toward the quantum angle operator. Zbl 1378.81033Gazeau, Jean Pierre; Szafraniec, Franciszek Hugon 3 2016 Coherence, squeezing and entanglement: an example of peaceful coexistence. Zbl 1398.81119Górska, Katarzyna; Horzela, Andrzej; Szafraniec, Franciszek Hugon 3 2018 Holomorphic Hermite polynomials in two variables. Zbl 1404.32015Górska, K.; Horzela, A.; Szafraniec, F. H. 3 2019 The Sobolev moment problem and Jordan dilations. Zbl 1381.44019Szafraniec, Franciszek Hugon; Wojtylak, Michał 2 2016 Yet another face of the creation operator. Zbl 0841.47017Szafraniec, F. H. 2 1995 A proposal of new sets of squeezed states. Zbl 0941.81035Becker, Jules; Debergh, N.; Szafraniec, F. H. 2 1998 Selfadjointness of integral and matrix operators. Zbl 1114.47026Cichon, Dariusz; Stochel, Jan; Szafraniec, Franciszek H. 2 2006 Operators of the quantum harmonic oscillator and its relatives. Zbl 1350.81013Szafraniec, Franciszek Hugon 2 2015 Apropos of Professor Masani’s talk. Zbl 0388.46018Szafraniec, F. H. 2 1978 Two-sided weighted shifts are ‘Krein’ normal. Zbl 1170.47018Szafraniec, Franciszek Hugon 2 2009 A general dilation theorem. Zbl 0376.47003Szafraniec, Franciszek H. 2 1977 Normal intermediate extensions of symmetric relations. Zbl 1340.47005Hassi, S.; de Snoo, H. S. V.; Szafraniec, F. H. 2 2014 Duality in the quantum harmonic oscillator. Zbl 1019.81012Szafraniec, Franciszek Hugon 2 2001 A (little) step towards orthogonality of analytic polynomials. Zbl 0799.30004Szafraniec, Franciszek Hugon 2 1993 Naĭmark dilations and Naĭmark extensions in favour of moment problems. Zbl 1300.47017Szafraniec, Franciszek Hugon 2 2012 Squeezing of arbitrary order: the ups and downs. Zbl 1371.81037Górska, Katarzyna; Horzela, Andrzej; Szafraniec, Franciszek Hugon 2 2014 A measure free approach to coherent states refined. Zbl 1297.81105Horzela, A.; Szafraniec, F. H. 2 2013 A characterization of subnormal operators. Zbl 0563.47018Stochel, J.; Szafraniec, F. H. 2 1984 Decomposition of operator valued representations of Banach algebras. Zbl 0205.42501Szafraniec, F. H. 2 1970 Some spectral properties of operator-valued representations of function algebras. Zbl 0242.46044Szafraniec, F. H. 2 1971 The complex moment problem: determinacy and extendibility. Zbl 07088516Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon 2 2019 Dissymmetrising inner product spaces. Zbl 1409.46019Szafraniec, Franciszek Hugon 1 2018 Unbounded subnormal operators. Why? Zbl 0948.47027Szafraniec, Franciszek Hugon 1 1997 On harmonic oscillators described by non-Hermitian operators and generalized Heisenberg relations. Zbl 0948.81581Debergh, N.; Beckers, J.; Szafraniec, F. H. 1 2000 Laguerre and Meixner polynomials in duality. Zbl 1081.33018Szafraniec, Franciszek Hugon 1 2005 Dilations of linear and nonlinear operator maps. Zbl 0543.47007Szafraniec, F. H. 1 1983 Unbounded subnormal operators and their models. Zbl 0712.47019Szafraniec, F. H. 1 1990 Cosine representations of Bochner type. Zbl 0735.47023Niechwiej, J.; Szafraniec, F. H. 1 1990 Note on a general dilation theorem. Zbl 0412.46046Szafraniec, F. H. 1 1979 How to recognize the creation operator. Zbl 1170.47010Szafraniec, Franciszek Hugon 1 2007 Normals, subnormals and an open question. Zbl 1218.47035Szafraniec, Franciszek Hugon 1 2010 A characterization of the Hamiltonian. Zbl 1138.81410Szafraniec, Franciszek Hugon 1 2004 Circular invariance of the Weyl form of the canonical commutation relation. Zbl 1046.81517Stochel, Jan; Szafraniec, F. H. 1 2000 Linear operators. Proceedings of the semester organized at the Stefan Banach International Mathematical Center, Warsaw, Poland, February 7–May 15, 1994. Zbl 0863.00036 1 1997 A converse of the Kramer sampling theorem. Zbl 1067.94008García, A. G.; Szafraniec, F. H. 1 2002 Noncommuting domination. Zbl 1084.47020Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon 1 2004 The beginnings of the reproducing property: Bergman, Szegő, Bochner – or perhaps Zaremba after all. Zbl 1359.30002Szafraniec, Franciszek Hugon 1 2016 Boundedness in dilation theory. Zbl 0508.47007Szafraniec, F. H. 1 1982 Detecting mass points of representing measures. Zbl 1050.33007Szafraniec, Franciszek Hugon 1 2003 Bounded vectors for subnormality via a group of unbounded operators. Zbl 1068.47030Szafraniec, Franciszek Hugon 1 2004 Operators of the \(q\)-oscillator. Zbl 1161.47017Szafraniec, Franciszek Hugon 1 2008 Orthogonality of analytic polynomials: a little step further. Zbl 1129.42014Szafraniec, Franciszek Hugon 1 2005 A method of estimation for the solution of integral and differential equations depending on a parameter. Zbl 0186.43503Szafraniec, F. H. 1 1968 A numerical approach to a localization problem of implicit functions. Zbl 0186.43601Szafraniec, F. H. 1 1968 A method of localization of implicit functions. Zbl 0186.43602Szafraniec, F. H. 1 1968 An axiomatic approach to the problem of the closedness of the set of trajectories in the control theory. Zbl 0212.47603Lasota, A.; Szafraniec, F. H. 1 1969 Orthogonal decompositions of non-contractive operator valued representations of Banach algebras. Zbl 0233.46065Szafraniec, F. H. 1 1971 Decompositions of non-contractive operator-valued representations of Banach algebras. Zbl 0246.46041Szafraniec, F. H. 1 1972 Holomorphic Hermite polynomials in two variables. Zbl 1404.32015Górska, K.; Horzela, A.; Szafraniec, F. H. 3 2019 The complex moment problem: determinacy and extendibility. Zbl 07088516Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon 2 2019 Coherence, squeezing and entanglement: an example of peaceful coexistence. Zbl 1398.81119Górska, Katarzyna; Horzela, Andrzej; Szafraniec, Franciszek Hugon 3 2018 Dissymmetrising inner product spaces. Zbl 1409.46019Szafraniec, Franciszek Hugon 1 2018 Three paths toward the quantum angle operator. Zbl 1378.81033Gazeau, Jean Pierre; Szafraniec, Franciszek Hugon 3 2016 The Sobolev moment problem and Jordan dilations. Zbl 1381.44019Szafraniec, Franciszek Hugon; Wojtylak, Michał 2 2016 The beginnings of the reproducing property: Bergman, Szegő, Bochner – or perhaps Zaremba after all. Zbl 1359.30002Szafraniec, Franciszek Hugon 1 2016 Non-selfadjoint operators in quantum physics. Mathematical aspects. Zbl 1329.81021 34 2015 The reproducing kernel property and its space: the basics. Zbl 1342.46026Szafraniec, Franciszek Hugon 18 2015 The reproducing kernel property and its space: more or less standard examples of applications. Zbl 1342.46027Szafraniec, Franciszek Hugon 7 2015 Operators of the quantum harmonic oscillator and its relatives. Zbl 1350.81013Szafraniec, Franciszek Hugon 2 2015 Squeezed states and Hermite polynomials in a complex variable. Zbl 1315.81053Ali, S. Twareque; Górska, K.; Horzela, A.; Szafraniec, F. H. 12 2014 Normal intermediate extensions of symmetric relations. Zbl 1340.47005Hassi, S.; de Snoo, H. S. V.; Szafraniec, F. H. 2 2014 Squeezing of arbitrary order: the ups and downs. Zbl 1371.81037Górska, Katarzyna; Horzela, Andrzej; Szafraniec, Franciszek Hugon 2 2014 Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces. Zbl 1270.46022García, Antonio G.; Hernández-Medina, Miguel A.; Szafraniec, Franciszek Hugon 9 2013 Framings and dilations. Zbl 1349.42063Larson, David R.; Szafraniec, Franciszek Hugon 4 2013 A measure free approach to coherent states refined. Zbl 1297.81105Horzela, A.; Szafraniec, F. H. 2 2013 Operator methods for boundary value problems. Zbl 1269.47001 8 2012 Infinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations. Zbl 1262.47003Hassi, S.; de Snoo, H. S. V.; Szafraniec, F. H. 8 2012 A measure-free approach to coherent states. Zbl 1253.81075Horzela, Andrzej; Szafraniec, Franciszek Hugon 6 2012 Naĭmark dilations and Naĭmark extensions in favour of moment problems. Zbl 1300.47017Szafraniec, Franciszek Hugon 2 2012 Holomorphic Hermite polynomials and a non-commutative plane. Zbl 1232.81025Gazeau, Jean Pierre; Szafraniec, Franciszek Hugon 13 2011 Extending positive definiteness. Zbl 1213.43006Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon 11 2011 Riesz-haviland criterion for incomplete data. Zbl 1214.30020Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon 3 2011 Murphy’s “Positive definite kernels and Hilbert \(C^{*}\)-modules” reorganized. Zbl 1214.46037Szafraniec, Franciszek Hugon 13 2010 Naimark extensions for indeterminacy in the moment problem. An example. Zbl 1239.44002Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon 6 2010 Normals, subnormals and an open question. Zbl 1218.47035Szafraniec, Franciszek Hugon 1 2010 Componentwise and Cartesian decompositions of linear relations. Zbl 1225.47004Hassi, S.; De Snoo, H. S. V.; Szafraniec, F. H. 41 2009 Two-sided weighted shifts are ‘Krein’ normal. Zbl 1170.47018Szafraniec, Franciszek Hugon 2 2009 Adjoints and formal adjoints of matrices of unbounded operators. Zbl 1153.47002Möller, Manfred; Szafraniec, Franciszek Hugon 7 2008 Operators of the \(q\)-oscillator. Zbl 1161.47017Szafraniec, Franciszek Hugon 1 2008 A canonical decomposition for linear operators and linear relations. Zbl 1136.47001Hassi, S.; Sebestyén, Z.; de Snoo, H. S. V.; Szafraniec, F. H. 18 2007 Unitary propagation of operator data. Zbl 1144.47014Jabłonski, Zenon J.; Stochel, Jan; Szafraniec, Franciszek Hugon 3 2007 Q-positive definiteness and related operators. Zbl 1153.47302Ôta, Schôichi; Szafraniec, Franciszek Hugon 3 2007 How to recognize the creation operator. Zbl 1170.47010Szafraniec, Franciszek Hugon 1 2007 On normal extensions of unbounded operators. IV: A matrix construction. Zbl 1106.47021Szafraniec, Franciszek Hugon 8 2006 Bounded normal operators in Pontryagin spaces. Zbl 1108.47021Langer, Heinz; Szafraniec, Franciszek Hugon 4 2006 Selfadjointness of integral and matrix operators. Zbl 1114.47026Cichon, Dariusz; Stochel, Jan; Szafraniec, Franciszek H. 2 2006 Three term recurrence relation modulo ideal and orthogonality of polynomials of several variables. Zbl 1070.42013Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon 3 2005 Laguerre and Meixner polynomials in duality. Zbl 1081.33018Szafraniec, Franciszek Hugon 1 2005 Orthogonality of analytic polynomials: a little step further. Zbl 1129.42014Szafraniec, Franciszek Hugon 1 2005 Notes on \(q\)-deformed operators. Zbl 1080.47001Ôta, Schôichi; Szafraniec, Franciszek Hugon 3 2004 A characterization of the Hamiltonian. Zbl 1138.81410Szafraniec, Franciszek Hugon 1 2004 Noncommuting domination. Zbl 1084.47020Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon 1 2004 Bounded vectors for subnormality via a group of unbounded operators. Zbl 1068.47030Szafraniec, Franciszek Hugon 1 2004 Domination of unbounded operators and commutativity. Zbl 1037.47003Stochel, Jan; Szafraniec, Franciszek Hugon 11 2003 Multipliers in the reproducing kernel Hilbert space, subnormality and noncommutative complex analysis. Zbl 1065.47025Szafraniec, Franciszek Hugon 9 2003 Detecting mass points of representing measures. Zbl 1050.33007Szafraniec, Franciszek Hugon 1 2003 A peculiarity of the creation operator. Zbl 1045.47023Stochel, Jan; Szafraniec, Franciszek Hugon 4 2002 Charlier polynomials and translational invariance in the quantum harmonic oscillator. Zbl 0995.33005Szafraniec, Franciszek Hugon 3 2002 A converse of the Kramer sampling theorem. Zbl 1067.94008García, A. G.; Szafraniec, F. H. 1 2002 A matrix algorithm towards solving the moment problem of Sobolev type. Zbl 0980.65049Marcellán, Francisco; Szafraniec, Franciszek Hugon 4 2001 Unitary dilation of several contractions. Zbl 0986.43004Stochel, Jan; Szafraniec, Franciszek Hugon 4 2001 Duality in the quantum harmonic oscillator. Zbl 1019.81012Szafraniec, Franciszek Hugon 2 2001 The reproducing kernel Hilbert space and its multiplication operators. Zbl 0965.46013Szafraniec, Franciszek Hugon 10 2000 Subnormality in the quantum harmonic oscillator. Zbl 0971.81052Szafraniec, Franciszek Hugon 10 2000 The Sobolev-type moment problem. Zbl 0951.44002Marcellán, Francisco; Szafraniec, Franciszek Hugon 4 2000 On harmonic oscillators described by non-Hermitian operators and generalized Heisenberg relations. Zbl 0948.81581Debergh, N.; Beckers, J.; Szafraniec, F. H. 1 2000 Circular invariance of the Weyl form of the canonical commutation relation. Zbl 1046.81517Stochel, Jan; Szafraniec, F. H. 1 2000 The complex moment problem and subnormality: A polar decomposition approach. Zbl 1048.47500Stochel, Jan; Szafraniec, Franciszek Hugon 35 1998 Analytic models of the quantum harmonic oscillator. Zbl 0899.47017Szafraniec, Franciszek Hugon 6 1998 A proposal of new sets of squeezed states. Zbl 0941.81035Becker, Jules; Debergh, N.; Szafraniec, F. H. 2 1998 \(C^ \infty\)-vectors and boundedness. Zbl 0874.47002Stochel, Jan; Szafraniec, F. H. 10 1997 Unbounded subnormal operators. Why? Zbl 0948.47027Szafraniec, Franciszek Hugon 1 1997 Linear operators. Proceedings of the semester organized at the Stefan Banach International Mathematical Center, Warsaw, Poland, February 7–May 15, 1994. Zbl 0863.00036 1 1997 Yet another face of the creation operator. Zbl 0841.47017Szafraniec, F. H. 2 1995 Algebraic operators and moments on algebraic sets. Zbl 0815.47058Stochel, Jan; Szafraniec, F. H. 9 1994 The Sz.-Nagy “théorème principal” extended. Application to subnormality. Zbl 0817.47010Szafraniec, F. H. 8 1993 A (little) step towards orthogonality of analytic polynomials. Zbl 0799.30004Szafraniec, Franciszek Hugon 2 1993 On extending backwards positive definite sequences. Zbl 0784.44007Szafraniec, Franciszek Hugon 5 1992 A few assorted questions about unbounded subnormal operators. Zbl 0748.47015Stochel, Jan; Szafraniec, Franciszek Hugon 7 1991 Kato-Protter type inequalities, bounded vectors and the exponential function. Zbl 0733.47038Szafraniec, F. H. 5 1990 Unbounded subnormal operators and their models. Zbl 0712.47019Szafraniec, F. H. 1 1990 Cosine representations of Bochner type. Zbl 0735.47023Niechwiej, J.; Szafraniec, F. H. 1 1990 On normal extensions of unbounded operators. II. Zbl 0698.47003Stochel, J.; Szafraniec, F. H. 42 1989 On normal extensions of unbounded operators. III: Spectral properties. Zbl 0721.47009Stochel, Jan; Szafraniec, Franciszek H. 26 1989 The normal part of an unbounded operator. Zbl 0699.47020Stochel, Jan; Szafraniec, F. H. 8 1989 Unbounded weighted shifts and subnormality. Zbl 0675.47011Stochel, Jan; Szafraniec, F. H. 8 1989 On bounded holomorphic interpolation in several variables. Zbl 0578.32008Szafraniec, F. H. 3 1986 On normal extensions of unbounded operators. I. Zbl 0613.47022Stochel, J.; Szafraniec, F. H. 36 1985 A characterization of subnormal operators. Zbl 0563.47018Stochel, J.; Szafraniec, F. H. 2 1984 Bounded vectors and formally normal operators. Zbl 0544.47020Stochel, J.; Szafraniec, F. H. 4 1983 Dilations of linear and nonlinear operator maps. Zbl 0543.47007Szafraniec, F. H. 1 1983 Boundedness in dilation theory. Zbl 0508.47007Szafraniec, F. H. 1 1982 Boundedness of the shift operator related to positive definite forms: An application to moment problems. Zbl 0504.47030Szafraniec, F. H. 27 1981 Sur les fonctions admettant une extension de type positif. Zbl 0457.47034Szafraniec, Franciszek Hugon 3 1981 Note on a general dilation theorem. Zbl 0412.46046Szafraniec, F. H. 1 1979 Apropos of Professor Masani’s talk. Zbl 0388.46018Szafraniec, F. H. 2 1978 Dilation on involution semigroups. Zbl 0369.47004Szafraniec, F. H. 11 1977 A general dilation theorem. Zbl 0376.47003Szafraniec, Franciszek H. 2 1977 On the boundedness condition involved in dilation theory. Zbl 0343.47003Szafraniec, F. H. 10 1976 Decompositions of non-contractive operator-valued representations of Banach algebras. Zbl 0246.46041Szafraniec, F. H. 1 1972 Some spectral properties of operator-valued representations of function algebras. Zbl 0242.46044Szafraniec, F. H. 2 1971 Orthogonal decompositions of non-contractive operator valued representations of Banach algebras. Zbl 0233.46065Szafraniec, F. H. 1 1971 Decomposition of operator valued representations of Banach algebras. Zbl 0205.42501Szafraniec, F. H. 2 1970 An axiomatic approach to the problem of the closedness of the set of trajectories in the control theory. Zbl 0212.47603Lasota, A.; Szafraniec, F. H. 1 1969 A method of estimation for the solution of integral and differential equations depending on a parameter. Zbl 0186.43503Szafraniec, F. H. 1 1968 A numerical approach to a localization problem of implicit functions. Zbl 0186.43601Szafraniec, F. H. 1 1968 A method of localization of implicit functions. Zbl 0186.43602Szafraniec, F. H. 1 1968 Sur les solutions périodiques d’une équation différentielle ordinaire d’ordre n. Zbl 0166.08601Lasota, A.; Szafraniec, F. H. 5 1966 all cited Publications top 5 cited Publications all top 5 Cited by 308 Authors 36 Stochel, Jan 34 Szafraniec, Franciszek Hugon 18 Jabłoński, Zenon Jan 14 Jung, Il Bong 14 Znojil, Miloslav 11 Shi, Yuming 10 Bagarello, Fabio 10 Budzyński, Piotr 10 de Snoo, Hendrik S. V. 10 Hassi, Seppo 9 Sandovici, Adrian 7 Ali, Syed Twareque 7 Curto, Raúl Enrique 7 Liu, Yan 7 Sebestyén, Zoltán 6 Schmüdgen, Konrad 5 Chavan, Sameer Laxman 5 Cichoń, Dariusz 5 Fialkow, Lawrence A. 5 García, Antonio G. 5 Gazeau, Jean-Pierre 5 Gheondea, Aurelian 5 Putinar, Mihai 5 Tarcsay, Zsigmond 4 Behrndt, Jussi 4 Górska, Katarzyna 4 Hernández-Medina, Miguel Ángel 4 Horzela, Andrzej 4 Jørgensen, Palle E. T. 4 Mortad, Mohammed Hichem 4 Moslehian, Mohammad Sal 4 Pham Viet Hai 4 Płaneta, Artur 4 Rosenfeld, Joel A. 4 Thirulogasanthar, Kengatharam 4 Wojtylak, Michał 3 Ammar, Aymen 3 Athavale, Ameer 3 Ay, Serdar 3 Dymek, Piotr 3 Jeribi, Aref 3 Pietrzycki, Paweł 3 Roman, Marcel 3 Ružička, František 3 Shalit, Orr Moshe 3 Silva, Luis O. 3 Stochel, Jerzy Bartłomiej 3 Toloza, Julio H. 3 Tutaj, Edward 3 Xu, Qingxiang 2 Álvarez Seco, Teresa 2 Ambrozie, Călin-Grigore 2 Andres, Jan 2 Bebiano, Natália Isabel Quadros 2 Bhatt, Subhash J. 2 Borisov, Denis Ivanovich 2 Chihara, Hiroyuki 2 Cimprič, Jaka 2 Clark, Stephen L. 2 Das, Suddhasattwa 2 Debergh, Nathalie 2 Dym, Harry 2 Engliš, Miroslav 2 Escribano, Carmen 2 Galé, José E. 2 Gargano, Francesco 2 Ghaemi, Mostafa 2 Ghanmi, Allal 2 Giannakis, Dimitrios 2 Gonzalo, Raquel 2 Han, Deguang 2 Ismail, Mourad El-Houssieny 2 Ismailov, Zameddin Ismailovich 2 Kouchekian, Sherwin 2 Krejčiřík, David 2 Kwon, Kil Hyun 2 Larson, David Royal 2 Littlejohn, Lance L. 2 Liu, Na 2 Liu, Rui 2 Luo, Wei 2 Majdak, Witold 2 Mukhigulashvili, S. V. 2 Ôta, Schôichi 2 Philipp, Friedrich 2 Ren, Guojing 2 Shao, Chunmei 2 Simeonov, Plamen C. 2 Storozh, O. H. 2 Torrano, Emilio 2 Trostorff, Sascha 2 Trunk, Carsten 2 Uribe, Alfredo 2 Vasilescu, Florian-Horia 2 Weron, Aleksander 2 Wietsma, Rudi 2 Winkler, Henrik 2 Yoo, Seonguk 2 Zagorodnyuk, Sergey Mihaylovich 2 Zemánek, Petr ...and 208 more Authors all top 5 Cited in 107 Serials 37 Journal of Mathematical Analysis and Applications 24 Journal of Functional Analysis 20 Complex Analysis and Operator Theory 15 Linear Algebra and its Applications 14 Journal of Mathematical Physics 12 Proceedings of the American Mathematical Society 11 Integral Equations and Operator Theory 9 Rocky Mountain Journal of Mathematics 8 Advances in Operator Theory 6 Results in Mathematics 6 Transactions of the American Mathematical Society 6 Annals of Physics 5 Physics Letters. A 5 Journal of Computational and Applied Mathematics 5 Monatshefte für Mathematik 4 Arkiv för Matematik 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Positivity 3 Linear and Multilinear Algebra 3 Advances in Mathematics 3 Mathematische Nachrichten 3 Acta Mathematica Hungarica 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Modern Physics Letters A 2 Israel Journal of Mathematics 2 Letters in Mathematical Physics 2 Reports on Mathematical Physics 2 Reviews in Mathematical Physics 2 Glasgow Mathematical Journal 2 Journal of Soviet Mathematics 2 Memoirs of the American Mathematical Society 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 2 Turkish Journal of Mathematics 2 Filomat 2 Opuscula Mathematica 2 Central European Journal of Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 Banach Journal of Mathematical Analysis 1 Communications in Mathematical Physics 1 International Journal of Theoretical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Periodica Mathematica Hungarica 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 Acta Scientiarum Mathematicarum 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Dissertationes Mathematicae 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Le Matematiche 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematica Slovaca 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Semigroup Forum 1 Acta Applicandae Mathematicae 1 Physica D 1 Applied Numerical Mathematics 1 Constructive Approximation 1 Numerical Methods for Partial Differential Equations 1 Numerical Algorithms 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Communications in Partial Differential Equations 1 Expositiones Mathematicae 1 SIAM Journal on Optimization 1 Journal of Nonlinear Science 1 Russian Mathematics 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 Integral Transforms and Special Functions 1 The Journal of Fourier Analysis and Applications 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Arab Journal of Mathematical Sciences 1 Doklady Mathematics 1 The Ramanujan Journal 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Matematychni Studiï 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Fractional Calculus & Applied Analysis 1 Differential Equations 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Function Spaces and Applications 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Journal of Noncommutative Geometry ...and 7 more Serials all top 5 Cited in 43 Fields 212 Operator theory (47-XX) 83 Functional analysis (46-XX) 61 Quantum theory (81-XX) 33 Integral transforms, operational calculus (44-XX) 24 Functions of a complex variable (30-XX) 19 Special functions (33-XX) 18 Ordinary differential equations (34-XX) 17 Partial differential equations (35-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 11 Probability theory and stochastic processes (60-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Abstract harmonic analysis (43-XX) 8 Algebraic geometry (14-XX) 8 Difference and functional equations (39-XX) 7 Approximations and expansions (41-XX) 7 Numerical analysis (65-XX) 7 Information and communication theory, circuits (94-XX) 6 Combinatorics (05-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Topological groups, Lie groups (22-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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