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## Moretti, Valter

Compute Distance To:
 Author ID: moretti.valter Published as: Moretti, V.; Moretti, Valter External Links: MGP · ORCID
 Documents Indexed: 58 Publications since 1996, including 9 Books Reviewing Activity: 28 Reviews
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#### Co-Authors

 21 single-authored 12 Pinamonti, Nicola 5 Dappiaggi, Claudio 4 Ghiloni, Riccardo 4 Perotti, Alessandro 3 Khavkine, Igor 3 Oppio, Marco 2 Drago, Nicolò 2 Elizalde, Emilio 2 Mazzucchi, Sonia 2 Pastorello, Davide 2 van de Ven, Christiaan J. F. 2 Zerbini, Sergio 1 Annigoni, Eleonora 1 Asorey, Manuel 1 Ballico, Edoardo 1 Bernardi, Alessandra 1 Brunetti, Romeo 1 Bytsenko, Andrei A. 1 Carusotta, Iacopo 1 Cognola, Guido 1 Collini, Giovanni 1 Ercolessi, Elisa 1 Franceschini, Lorenzo 1 Hack, Thomas-Paul 1 Landsman, Nicolaas P. 1 Melati, Alberto 1 Steidl, Stefan 1 Vanzo, Luciano
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#### Serials

 9 Communications in Mathematical Physics 7 Journal of Mathematical Physics 7 Reviews in Mathematical Physics 5 Annales Henri Poincaré 4 Letters in Mathematical Physics 4 Unitext 3 Classical and Quantum Gravity 2 International Journal of Modern Physics A 2 International Journal of Geometric Methods in Modern Physics 1 Nuclear Physics. B 1 Physics Letters. B 1 Advances in Theoretical and Mathematical Physics 1 Entropy 1 Lecture Notes of the Unione Matematica Italiana 1 Journal of Physics A: Mathematical and Theoretical 1 SpringerBriefs in Mathematical Physics
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#### Fields

 52 Quantum theory (81-XX) 24 Relativity and gravitational theory (83-XX) 15 Functional analysis (46-XX) 11 Operator theory (47-XX) 8 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Functions of a complex variable (30-XX) 3 Topological groups, Lie groups (22-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

45 Publications have been cited 455 times in 268 Documents Cited by Year
Continuous slice functional calculus in quaternionic Hilbert spaces. Zbl 1291.47008
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
2013
Comments on the stress-energy tensor operator in curved spacetime. Zbl 1015.81044
Moretti, Valter
2003
Rigorous steps towards holography in asymptotically flat spacetimes. Zbl 1107.81040
Dappiaggi, Claudio; Moretti, Valter; Pinamonti, Nicola
2006
Analytical aspects of quantum fields. Zbl 1138.81035
Bytsenko, A. A.; Cognola, G.; Elizalde, E.; Moretti, V.; Zerbini, S.
2003
Quantum out-states holographically induced by asymptotic flatness: invariance under spacetime symmetries, energy positivity and Hadamard property. Zbl 1145.83016
Moretti, Valter
2008
Distinguished quantum states in a class of cosmological spacetimes and their Hadamard property. Zbl 1216.81112
Dappiaggi, Claudio; Moretti, Valter; Pinamonti, Nicola
2009
Algebraic QFT in curved spacetime and quasifree Hadamard states: an introduction. Zbl 1334.81081
Khavkine, Igor; Moretti, Valter
2015
Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime. Zbl 1257.83008
Dappiaggi, Claudio; Moretti, Valter; Pinamonti, Nicola
2011
Cosmological horizons and reconstruction of quantum field theories. Zbl 1171.81019
Dappiaggi, Claudio; Moretti, Valter; Pinamonti, Nicola
2009
Uniqueness theorem for BMS-invariant states of scalar QFT on the null boundary of asymptotically flat spacetimes and bulk-boundary observable algebra correspondence. Zbl 1141.81028
Moretti, Valter
2006
Spectral properties of compact normal quaternionic operators. Zbl 1314.30100
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
2014
Spectral theory and quantum mechanics. With an introduction to the algebraic formulation. Translated by Simon G. Chiossi. Translated and extended edition of the 2010 Italian original. Zbl 1365.81001
Moretti, Valter
2013
Aspects of noncommutative Lorentzian geometry for globally hyperbolic spacetimes. Zbl 1055.46048
Moretti, Valter
2003
Local $$\zeta$$-function techniques vs. point-splitting procedure: A few rigorous results. Zbl 0937.58024
Moretti, Valter
1999
Aspects of hidden and manifest SL$$(2,\mathbb{R})$$ symmetry in 2D near-horizon black-hole backgrounds. Zbl 1001.81064
Moretti, Valter; Pinamonti, Nicola
2002
Proof of the symmetry of the off-diagonal Hadamard/Seeley-DeWitt’s coefficients in $$C^\infty$$ Lorentzian manifolds by a “local Wick rotation”. Zbl 0956.58019
Moretti, Valter
2000
Spectral representations of normal operators in quaternionic Hilbert spaces via intertwining quaternionic PVMs. Zbl 06813204
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
2017
Analytic dependence is an unnecessary requirement in renormalization of locally covariant QFT. Zbl 1351.81081
Khavkine, Igor; Moretti, Valter
2016
State independence for tunnelling processes through black hole horizons and Hawking radiation. Zbl 1242.83068
Moretti, Valter; Pinamonti, Nicola
2012
Topological features of massive bosons on two-dimensional Einstein space-time. Zbl 1206.81074
Brunetti, Romeo; Franceschini, Lorenzo; Moretti, Valter
2009
Virasoro algebra with central charge $$c=1$$ on the horizon of a two-dimensional-Rindler space-time. Zbl 1070.81092
Moretti, Valter; Pinamonti, Nicola
2004
Holography and $$\text{SL}(2,\mathbb R)$$ symmetry in 2D Rindler space-time. Zbl 1070.81091
Moretti, Valter; Pinamonti, Nicola
2004
Proof of the symmetry of the off-diagonal heat-kernel and Hadamard’s expansion coefficients in general $$C^\infty$$ Riemannian manifolds. Zbl 0960.58024
Moretti, Valter
1999
Spectral theory and quantum mechanics. Mathematical foundations of quantum theories, symmetries and introduction to the algebraic formulation. Translated from the Italian by Simon G. Chiossi. 2nd enlarged edition. Zbl 1395.81001
Moretti, Valter
2017
On the stress-energy tensor of quantum fields in curved spacetimes-comparison of different regularization schemes and symmetry of the Hadamard/Seeley-DeWitt coefficients. Zbl 1252.81107
Hack, Thomas-Paul; Moretti, Valter
2012
One-loop stress-tensor renormalization in curved background: the relation between $$\zeta$$-function and point-splitting approaches, and an improved point-splitting procedure. Zbl 0969.81045
Moretti, Valter
1999
Thermal Wightman functions and renormalized stress tensors in the Rindler wedge. Zbl 0997.81552
Moretti, Valter; Vanzo, Luciano
1996
On Wick polynomials of boson fields in locally covariant algebraic QFT. Zbl 1414.83022
Khavkine, Igor; Melati, Alberto; Moretti, Valter
2019
Quantum theory in real Hilbert space: how the complex Hilbert space structure emerges from Poincaré symmetry. Zbl 1372.81011
Moretti, Valter; Oppio, Marco
2017
Frame functions in finite-dimensional quantum mechanics and its Hamiltonian formulation on complex projective spaces. Zbl 1339.81059
Moretti, Valter; Pastorello, Davide
2016
Bose-Einstein condensate and spontaneous breaking of conformal symmetry on Killing horizons. Zbl 1110.81146
Moretti, Valter; Pinamonti, Nicola
2005
The correct formulation of Gleason’s theorem in quaternionic Hilbert spaces. Zbl 06968474
Moretti, Valter; Oppio, Marco
2018
“Tunnelling” black-hole radiation with $$\phi ^{3}$$ self-interaction: one-loop computation for Rindler Killing horizons. Zbl 1292.81098
Collini, Giovanni; Moretti, Valter; Pinamonti, Nicola
2014
On recent strategies proposed for proving the Riemann hypothesis. Zbl 1046.11060
Elizalde, E.; Moretti, V.; Zerbini, S.
2003
Hadamard states from light-like hypersurfaces. Zbl 1379.81007
Dappiaggi, Claudio; Moretti, Valter; Pinamonti, Nicola
2017
Generalized complex spherical harmonics, frame functions, and Gleason theorem. Zbl 1268.81018
Moretti, Valter; Pastorello, Davide
2013
A Bisognano-Wichmann-like theorem in a certain case of a non-bifurcate event horizon related to an extreme Reissner-Nordström black hole. Zbl 0858.53076
Moretti, Valter; Steidl, Stefan
1996
Wightman functions’ behaviour on the event horizon of an extremal Reissner-Nordström black hole. Zbl 0855.53063
Moretti, Valter
1996
Quantum physics and geometry. Zbl 1411.81023
Ballico, Edoardo (ed.); Bernardi, Alessandra (ed.); Carusotta, Iacopo (ed.); Mazzucchi, Sonia (ed.); Moretti, Valter (ed.)
2019
Local $$\zeta$$-functions, stress-energy tensor, field fluctuations, and all that, in curved static spacetime. Zbl 1246.83084
Moretti, Valter
2011
Black hole horizons and thermodynamics: a quantum approach. Zbl 1229.83052
Moretti, Valter; Pinamonti, Nicola
2010
Bose-Einstein condensate and spontaneous breaking of conformal symmetry on Killing horizons. II. Zbl 1111.81125
Moretti, Valter
2006
The interplay of the polar decomposition theorem and the Lorentz group. Zbl 1370.22010
Moretti, Valter
2006
Canonical quantization of photons in a Rindler wedge. Zbl 0878.58065
Moretti, Valter
1997
Geometric entropy and curvature coupling in conical spaces: $$\zeta$$-function approach. Zbl 0879.58088
Moretti, Valter
1997
On Wick polynomials of boson fields in locally covariant algebraic QFT. Zbl 1414.83022
Khavkine, Igor; Melati, Alberto; Moretti, Valter
2019
Quantum physics and geometry. Zbl 1411.81023
Ballico, Edoardo (ed.); Bernardi, Alessandra (ed.); Carusotta, Iacopo (ed.); Mazzucchi, Sonia (ed.); Moretti, Valter (ed.)
2019
The correct formulation of Gleason’s theorem in quaternionic Hilbert spaces. Zbl 06968474
Moretti, Valter; Oppio, Marco
2018
Spectral representations of normal operators in quaternionic Hilbert spaces via intertwining quaternionic PVMs. Zbl 06813204
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
2017
Spectral theory and quantum mechanics. Mathematical foundations of quantum theories, symmetries and introduction to the algebraic formulation. Translated from the Italian by Simon G. Chiossi. 2nd enlarged edition. Zbl 1395.81001
Moretti, Valter
2017
Quantum theory in real Hilbert space: how the complex Hilbert space structure emerges from Poincaré symmetry. Zbl 1372.81011
Moretti, Valter; Oppio, Marco
2017
Hadamard states from light-like hypersurfaces. Zbl 1379.81007
Dappiaggi, Claudio; Moretti, Valter; Pinamonti, Nicola
2017
Analytic dependence is an unnecessary requirement in renormalization of locally covariant QFT. Zbl 1351.81081
Khavkine, Igor; Moretti, Valter
2016
Frame functions in finite-dimensional quantum mechanics and its Hamiltonian formulation on complex projective spaces. Zbl 1339.81059
Moretti, Valter; Pastorello, Davide
2016
Algebraic QFT in curved spacetime and quasifree Hadamard states: an introduction. Zbl 1334.81081
Khavkine, Igor; Moretti, Valter
2015
Spectral properties of compact normal quaternionic operators. Zbl 1314.30100
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
2014
“Tunnelling” black-hole radiation with $$\phi ^{3}$$ self-interaction: one-loop computation for Rindler Killing horizons. Zbl 1292.81098
Collini, Giovanni; Moretti, Valter; Pinamonti, Nicola
2014
Continuous slice functional calculus in quaternionic Hilbert spaces. Zbl 1291.47008
Ghiloni, Riccardo; Moretti, Valter; Perotti, Alessandro
2013
Spectral theory and quantum mechanics. With an introduction to the algebraic formulation. Translated by Simon G. Chiossi. Translated and extended edition of the 2010 Italian original. Zbl 1365.81001
Moretti, Valter
2013
Generalized complex spherical harmonics, frame functions, and Gleason theorem. Zbl 1268.81018
Moretti, Valter; Pastorello, Davide
2013
State independence for tunnelling processes through black hole horizons and Hawking radiation. Zbl 1242.83068
Moretti, Valter; Pinamonti, Nicola
2012
On the stress-energy tensor of quantum fields in curved spacetimes-comparison of different regularization schemes and symmetry of the Hadamard/Seeley-DeWitt coefficients. Zbl 1252.81107
Hack, Thomas-Paul; Moretti, Valter
2012
Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime. Zbl 1257.83008
Dappiaggi, Claudio; Moretti, Valter; Pinamonti, Nicola
2011
Local $$\zeta$$-functions, stress-energy tensor, field fluctuations, and all that, in curved static spacetime. Zbl 1246.83084
Moretti, Valter
2011
Black hole horizons and thermodynamics: a quantum approach. Zbl 1229.83052
Moretti, Valter; Pinamonti, Nicola
2010
Distinguished quantum states in a class of cosmological spacetimes and their Hadamard property. Zbl 1216.81112
Dappiaggi, Claudio; Moretti, Valter; Pinamonti, Nicola
2009
Cosmological horizons and reconstruction of quantum field theories. Zbl 1171.81019
Dappiaggi, Claudio; Moretti, Valter; Pinamonti, Nicola
2009
Topological features of massive bosons on two-dimensional Einstein space-time. Zbl 1206.81074
Brunetti, Romeo; Franceschini, Lorenzo; Moretti, Valter
2009
Quantum out-states holographically induced by asymptotic flatness: invariance under spacetime symmetries, energy positivity and Hadamard property. Zbl 1145.83016
Moretti, Valter
2008
Rigorous steps towards holography in asymptotically flat spacetimes. Zbl 1107.81040
Dappiaggi, Claudio; Moretti, Valter; Pinamonti, Nicola
2006
Uniqueness theorem for BMS-invariant states of scalar QFT on the null boundary of asymptotically flat spacetimes and bulk-boundary observable algebra correspondence. Zbl 1141.81028
Moretti, Valter
2006
Bose-Einstein condensate and spontaneous breaking of conformal symmetry on Killing horizons. II. Zbl 1111.81125
Moretti, Valter
2006
The interplay of the polar decomposition theorem and the Lorentz group. Zbl 1370.22010
Moretti, Valter
2006
Bose-Einstein condensate and spontaneous breaking of conformal symmetry on Killing horizons. Zbl 1110.81146
Moretti, Valter; Pinamonti, Nicola
2005
Virasoro algebra with central charge $$c=1$$ on the horizon of a two-dimensional-Rindler space-time. Zbl 1070.81092
Moretti, Valter; Pinamonti, Nicola
2004
Holography and $$\text{SL}(2,\mathbb R)$$ symmetry in 2D Rindler space-time. Zbl 1070.81091
Moretti, Valter; Pinamonti, Nicola
2004
Comments on the stress-energy tensor operator in curved spacetime. Zbl 1015.81044
Moretti, Valter
2003
Analytical aspects of quantum fields. Zbl 1138.81035
Bytsenko, A. A.; Cognola, G.; Elizalde, E.; Moretti, V.; Zerbini, S.
2003
Aspects of noncommutative Lorentzian geometry for globally hyperbolic spacetimes. Zbl 1055.46048
Moretti, Valter
2003
On recent strategies proposed for proving the Riemann hypothesis. Zbl 1046.11060
Elizalde, E.; Moretti, V.; Zerbini, S.
2003
Aspects of hidden and manifest SL$$(2,\mathbb{R})$$ symmetry in 2D near-horizon black-hole backgrounds. Zbl 1001.81064
Moretti, Valter; Pinamonti, Nicola
2002
Proof of the symmetry of the off-diagonal Hadamard/Seeley-DeWitt’s coefficients in $$C^\infty$$ Lorentzian manifolds by a “local Wick rotation”. Zbl 0956.58019
Moretti, Valter
2000
Local $$\zeta$$-function techniques vs. point-splitting procedure: A few rigorous results. Zbl 0937.58024
Moretti, Valter
1999
Proof of the symmetry of the off-diagonal heat-kernel and Hadamard’s expansion coefficients in general $$C^\infty$$ Riemannian manifolds. Zbl 0960.58024
Moretti, Valter
1999
One-loop stress-tensor renormalization in curved background: the relation between $$\zeta$$-function and point-splitting approaches, and an improved point-splitting procedure. Zbl 0969.81045
Moretti, Valter
1999
Canonical quantization of photons in a Rindler wedge. Zbl 0878.58065
Moretti, Valter
1997
Geometric entropy and curvature coupling in conical spaces: $$\zeta$$-function approach. Zbl 0879.58088
Moretti, Valter
1997
Thermal Wightman functions and renormalized stress tensors in the Rindler wedge. Zbl 0997.81552
Moretti, Valter; Vanzo, Luciano
1996
A Bisognano-Wichmann-like theorem in a certain case of a non-bifurcate event horizon related to an extreme Reissner-Nordström black hole. Zbl 0858.53076
Moretti, Valter; Steidl, Stefan
1996
Wightman functions’ behaviour on the event horizon of an extremal Reissner-Nordström black hole. Zbl 0855.53063
Moretti, Valter
1996
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#### Cited by 278 Authors

 24 Moretti, Valter 21 Dappiaggi, Claudio 21 Pinamonti, Nicola 13 Colombo, Fabrizio 13 Thirulogasanthar, Kengatharam 10 Drago, Nicolò 10 Muraleetharan, B. 9 Wrochna, Michał 8 Fucci, Guglielmo 8 Gantner, Jonathan 8 Ghiloni, Riccardo 7 Kirsten, Klaus 7 Sabadini, Irene 6 Murro, Simone 6 Pastorello, Davide 6 Perotti, Alessandro 6 Vasselli, Ezio 5 Alpay, Daniel Aron 5 Altavilla, Amedeo 5 Gérard, Christian 5 Hollands, Stefan 5 Ruzzi, Giuseppe 5 Zerbini, Sergio 4 Benini, Marco 4 Bytsenko, Andrei A. 4 Elizalde, Emilio 4 Finster, Felix 4 Hack, Thomas-Paul 4 Kimsey, David Patrick 4 Oppio, Marco 4 Ramesh, Golla 4 Santhosh Kumar, P. 4 Siemssen, Daniel 3 Besnard, Fabien 3 Brunetti, Romeo 3 de Fabritiis, Chiara 3 Del Vecchio, Simone 3 Fashandi, Massoumeh 3 Guimarães, Maria Emília X. 3 Recupero, Vincenzo 3 Stoppato, Caterina 3 Vasy, András 3 Verch, Rainer 3 Zahn, Jochen 2 Ali, Syed Twareque 2 Borges, L. H. C. 2 Capoferri, Matteo 2 Cognola, Guido 2 De Bie, Hendrik 2 Eckstein, Michał 2 Fewster, Christopher John 2 Fredenhagen, Klaus 2 Fröb, Markus B. 2 Giorgetti, Luca 2 Grumiller, Daniel 2 Juárez-Aubry, Benito A. 2 Khavkine, Igor 2 Loya, Paul A. 2 Martinetti, Pierre 2 Miller, Tomasz 2 Paronetto, Fabio 2 Rejzner, Kasia 2 Rinaldi, Paolo 2 Röken, Christian 2 Sanders, Ko 2 Sierra, Germán 2 van den Dungen, Koenraad Lambertus 2 Wald, Robert M. 1 Abdalla, Maria Cristina B. 1 Afshar, Hamid Reza 1 Altavilla, Ademeo 1 Ammar, Aymen 1 Amorim, Ricardo 1 Andersson, Andreas 1 Arcozzi, Nicola 1 Askari-Hemmat, Ataollah 1 Astefanesei, Dumitru 1 Baldazzi, Alessio 1 Banerjee, Rabin 1 Barone Adesi, Vittorio 1 Barone, F. A. 1 Barone, F. E. 1 Belgiorno, Francesco D. 1 Berra-Montiel, Jasel 1 Bezerra De Mello, Eugênio R. 1 Binosi, Daniele 1 Bischoff, Marcel 1 Bizi, Nadir 1 Blommaert, Andreas 1 Borris, Markus 1 Bravetti, Alessandro 1 Brouder, Christian 1 Cacciatori, Sergio Luigi 1 Cadoni, Mariano 1 Caldarelli, Marco M. 1 Campiglia, Miguel 1 Carfora, Mauro 1 Carpi, Sebastiano 1 Cassinelli, Gianni 1 Castillo Villalba, C. Marco Polo ...and 178 more Authors
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#### Cited in 59 Serials

 32 Journal of Mathematical Physics 25 Communications in Mathematical Physics 22 Reviews in Mathematical Physics 21 Annales Henri Poincaré 14 Journal of Geometry and Physics 12 Journal of High Energy Physics 11 Letters in Mathematical Physics 8 Nuclear Physics. B 7 Advances in Applied Clifford Algebras 6 International Journal of Modern Physics A 6 International Journal of Geometric Methods in Modern Physics 5 Journal of Mathematical Analysis and Applications 5 Transactions of the American Mathematical Society 5 Journal of Physics A: Mathematical and Theoretical 4 Modern Physics Letters A 4 Physics Letters. B 4 The European Physical Journal C. Particles and Fields 4 Complex Analysis and Operator Theory 4 Symmetry 3 General Relativity and Gravitation 3 Journal of Functional Analysis 3 The Journal of Geometric Analysis 3 International Journal of Modern Physics D 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 International Journal of Theoretical Physics 2 Mathematical Methods in the Applied Sciences 2 Reports on Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annals of Global Analysis and Geometry 2 Linear Algebra and its Applications 2 Mathematical Physics, Analysis and Geometry 2 Analysis and Mathematical Physics 1 Physics Reports 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Integral Equations and Operator Theory 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 Annals of Physics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 The Journal of Analysis 1 Calculus of Variations and Partial Differential Equations 1 Journal of the European Mathematical Society (JEMS) 1 Living Reviews in Relativity 1 Gravitation & Cosmology 1 Entropy 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Analysis and Applications (Singapore) 1 International Journal of Quantum Information 1 Journal of Statistical Mechanics: Theory and Experiment 1 Foundations of Physics 1 Banach Journal of Mathematical Analysis 1 Palestine Journal of Mathematics 1 Concrete Operators 1 Quantum Studies: Mathematics and Foundations 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 45 Fields

 186 Quantum theory (81-XX) 80 Relativity and gravitational theory (83-XX) 49 Operator theory (47-XX) 48 Functional analysis (46-XX) 31 Partial differential equations (35-XX) 30 Functions of a complex variable (30-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Differential geometry (53-XX) 18 Number theory (11-XX) 10 Topological groups, Lie groups (22-XX) 9 Nonassociative rings and algebras (17-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Ordinary differential equations (34-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Geometry (51-XX) 6 Mechanics of particles and systems (70-XX) 5 Information and communication theory, circuits (94-XX) 4 Algebraic geometry (14-XX) 4 Manifolds and cell complexes (57-XX) 4 Probability theory and stochastic processes (60-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Special functions (33-XX) 2 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)