Keppler, Hannes; Muller, Thomas Duality of orthogonal and symplectic random tensor models: general invariants. (English) Zbl 07724010 Lett. Math. Phys. 113, No. 4, Paper No. 83, 15 p. (2023). MSC: 81T32 37J11 14J42 81T32 81V19 37P05 35B20 PDFBibTeX XMLCite \textit{H. Keppler} and \textit{T. Muller}, Lett. Math. Phys. 113, No. 4, Paper No. 83, 15 p. (2023; Zbl 07724010) Full Text: DOI arXiv
Buchbinder, I. L.; Isaev, A. P.; Podoinitsyn, M. A.; Fedoruk, S. A. Generalization of the Bargmann-Wigner construction for infinite-spin fields. (English. Russian original) Zbl 07723448 Theor. Math. Phys. 216, No. 1, 973-999 (2023); translation from Teor. Mat. Fiz. 216, No. 1, 76-105 (2023). MSC: 81R25 22D10 81R20 37P10 PDFBibTeX XMLCite \textit{I. L. Buchbinder} et al., Theor. Math. Phys. 216, No. 1, 973--999 (2023; Zbl 07723448); translation from Teor. Mat. Fiz. 216, No. 1, 76--105 (2023) Full Text: DOI arXiv
Aniello, Paolo; Mancini, Stefano; Parisi, Vincenzo Trace class operators and states in \(p\)-adic quantum mechanics. (English) Zbl 1512.81041 J. Math. Phys. 64, No. 5, Article ID 053506, 45 p. (2023). MSC: 81Q65 81P05 11E95 26E30 46S10 47S10 PDFBibTeX XMLCite \textit{P. Aniello} et al., J. Math. Phys. 64, No. 5, Article ID 053506, 45 p. (2023; Zbl 1512.81041) Full Text: DOI arXiv
Huang, An; Stoica, Bogdan; Yau, Shing-Tung; Zhong, Xiao Green’s functions for Vladimirov derivatives and Tate’s thesis. (English) Zbl 1471.11281 Commun. Number Theory Phys. 15, No. 2, 315-361 (2021). MSC: 11R42 11R56 47S10 81T40 PDFBibTeX XMLCite \textit{A. Huang} et al., Commun. Number Theory Phys. 15, No. 2, 315--361 (2021; Zbl 1471.11281) Full Text: DOI arXiv
Bocardo-Gaspar, M.; García-Compeán, H.; López, Edgar Y.; Zúñiga-Galindo, W. A. Local Zeta Functions and Koba-Nielsen String Amplitudes. arXiv:2105.00298 Preprint, arXiv:2105.00298 [hep-th] (2021). MSC: 81T30 32S45 11S40 26E30 BibTeX Cite \textit{M. Bocardo-Gaspar} et al., ``Local Zeta Functions and Koba-Nielsen String Amplitudes'', Preprint, arXiv:2105.00298 [hep-th] (2021) Full Text: arXiv OA License
Ambjørn, J.; Watabiki, Y. Models of the universe based on Jordan algebras. (English) Zbl 1473.83081 Nucl. Phys., B 955, Article ID 115044, 54 p. (2020). MSC: 83F05 17A15 17C10 81R40 11R52 47S05 47S10 PDFBibTeX XMLCite \textit{J. Ambjørn} and \textit{Y. Watabiki}, Nucl. Phys., B 955, Article ID 115044, 54 p. (2020; Zbl 1473.83081) Full Text: DOI arXiv
Bendikov, Alexander; Cygan, Wojciech Poisson approximation related to spectra of hierarchical Laplacians. (English) Zbl 1502.60070 Stoch. Dyn. 20, No. 5, Article ID 2050035, 17 p. (2020). MSC: 60G55 60J25 47S10 60F05 81Q10 PDFBibTeX XMLCite \textit{A. Bendikov} and \textit{W. Cygan}, Stoch. Dyn. 20, No. 5, Article ID 2050035, 17 p. (2020; Zbl 1502.60070) Full Text: DOI
Arroyo-Ortiz, Edilberto; Zúñiga-Galindo, W. A. Construction of \(p\)-adic covariant quantum fields in the framework of white noise analysis. (English) Zbl 1441.46055 Rep. Math. Phys. 84, No. 1, 1-34 (2019). MSC: 46S10 12H25 60H40 81T05 PDFBibTeX XMLCite \textit{E. Arroyo-Ortiz} and \textit{W. A. Zúñiga-Galindo}, Rep. Math. Phys. 84, No. 1, 1--34 (2019; Zbl 1441.46055) Full Text: DOI arXiv
Mendoza-Martínez, M. L.; Vallejo, J. A.; Zúñiga-Galindo, W. A. Acausal quantum theory for non-Archimedean scalar fields. (English) Zbl 1425.81067 Rev. Math. Phys. 31, No. 4, Article ID 1950011, 46 p. (2019). MSC: 81T05 11S40 35S05 81T70 37P55 46S10 PDFBibTeX XMLCite \textit{M. L. Mendoza-Martínez} et al., Rev. Math. Phys. 31, No. 4, Article ID 1950011, 46 p. (2019; Zbl 1425.81067) Full Text: DOI arXiv
Digernes, Trond A review of finite approximations, Archimedean and non-Archimedean. (English) Zbl 1457.81046 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 253-266 (2018). MSC: 81Q15 35A35 41A65 47A58 PDFBibTeX XMLCite \textit{T. Digernes}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 253--266 (2018; Zbl 1457.81046) Full Text: DOI
Coudarchet, Thibaut; Partouche, Hervé Quantum no-scale regimes and moduli dynamics. (English) Zbl 1395.81183 Nucl. Phys., B 933, 134-184 (2018). MSC: 81T30 81T15 81T60 81R40 37P45 14M25 37C15 83F05 83E50 PDFBibTeX XMLCite \textit{T. Coudarchet} and \textit{H. Partouche}, Nucl. Phys., B 933, 134--184 (2018; Zbl 1395.81183) Full Text: DOI arXiv
Bendikov, Alexander; Grigor’yan, Alexander; Molchanov, Stanislav On the spectrum of the hierarchical Schrödinger operator. arXiv:1811.05210 Preprint, arXiv:1811.05210 [math.FA] (2018). MSC: 05C05 60F05 47S10 60J25 81Q10 BibTeX Cite \textit{A. Bendikov} et al., ``On the spectrum of the hierarchical Schr\"{o}dinger operator'', Preprint, arXiv:1811.05210 [math.FA] (2018) Full Text: arXiv OA License
Weng, Zi-Hua Color confinement and spatial dimensions in the complex-sedenion space. (English) Zbl 1400.81182 Adv. Math. Phys. 2017, Article ID 9876464, 26 p. (2017). MSC: 81V05 11R52 47S10 81V35 70S15 PDFBibTeX XMLCite \textit{Z.-H. Weng}, Adv. Math. Phys. 2017, Article ID 9876464, 26 p. (2017; Zbl 1400.81182) Full Text: DOI arXiv
Manschot, Jan Sheaves on \(\mathbb{P}^2\) and generalized Appell functions. (English) Zbl 1391.14022 Adv. Theor. Math. Phys. 21, No. 3, 655-681 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14D21 70S15 37P45 51E15 14F05 05A15 33C65 81T60 PDFBibTeX XMLCite \textit{J. Manschot}, Adv. Theor. Math. Phys. 21, No. 3, 655--681 (2017; Zbl 1391.14022) Full Text: DOI arXiv
Zúñiga-Galindo, W. A. Non-Archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields. (English) Zbl 1373.81277 J. Fourier Anal. Appl. 23, No. 2, 288-323 (2017). Reviewer: J. M. Hoff da Silva (Guaratinguetá) MSC: 81T10 60H40 46S10 PDFBibTeX XMLCite \textit{W. A. Zúñiga-Galindo}, J. Fourier Anal. Appl. 23, No. 2, 288--323 (2017; Zbl 1373.81277) Full Text: DOI arXiv
Djordjevic, Goran S.; Nesic, Ljubisa; Radovancevic, Darko Two-oscillator Kantowski-Sachs model of the Schwarzschild black hole interior. (English) Zbl 1381.83060 Gen. Relativ. Gravitation 48, No. 8, Paper No. 106, 20 p. (2016). MSC: 83C57 83C65 80A10 83F05 83C45 81T20 PDFBibTeX XMLCite \textit{G. S. Djordjevic} et al., Gen. Relativ. Gravitation 48, No. 8, Paper No. 106, 20 p. (2016; Zbl 1381.83060) Full Text: DOI arXiv
Amini, O.; Bloch, S. J.; Burgos Gil, J. I.; Fresán, J. Feynman amplitudes and limits of heights. (English. Russian original) Zbl 1354.32012 Izv. Math. 80, No. 5, 813-848 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 5, 5-40 (2016). MSC: 32G20 14D05 37P30 81Q30 81T30 PDFBibTeX XMLCite \textit{O. Amini} et al., Izv. Math. 80, No. 5, 813--848 (2016; Zbl 1354.32012); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 5, 5--40 (2016) Full Text: DOI arXiv
Hanson, Andrew J.; Ortiz, Gerardo; Sabry, Amr; Tai, Yu-Tsung Corrigendum to: “Geometry of discrete quantum computing”. (English) Zbl 1447.81006 J. Phys. A, Math. Theor. 49, No. 3, Article ID 039501, 2 p. (2016). MSC: 81P05 81P40 81P68 16T05 46S10 47S10 51N15 PDFBibTeX XMLCite \textit{A. J. Hanson} et al., J. Phys. A, Math. Theor. 49, No. 3, Article ID 039501, 2 p. (2016; Zbl 1447.81006) Full Text: DOI
Borodin, Alexei; Corwin, Ivan; Gorin, Vadim Stochastic six-vertex model. (English) Zbl 1343.82013 Duke Math. J. 165, No. 3, 563-624 (2016). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B20 82B23 82C24 15B51 82C22 82C20 37P30 81R12 60J10 PDFBibTeX XMLCite \textit{A. Borodin} et al., Duke Math. J. 165, No. 3, 563--624 (2016; Zbl 1343.82013) Full Text: DOI arXiv Euclid
Lapidus, Michel L.; Hùng, Lũ’; van Frankenhuijsen, Machiel Minkowski dimension and explicit tube formulas for \(p\)-adic fractal strings. arXiv:1603.09409 Preprint, arXiv:1603.09409 [math-ph] (2016). MSC: 11M41 26E30 28A12 32P05 37P20 11M06 11K41 30G06 46S10 47S10 81Q65 BibTeX Cite \textit{M. L. Lapidus} et al., ``Minkowski dimension and explicit tube formulas for $p$-adic fractal strings'', Preprint, arXiv:1603.09409 [math-ph] (2016) Full Text: DOI arXiv OA License
Ławrynowicz, Julian; Niemczynowicz, Agnieszka; Nowak-Kȩpczyk, Małgorzata; Sánchez, Luis Manuel Tovar On an extension of harmonicity and holomorphy. (English) Zbl 1346.35082 Agranovsky, Mark L. (ed.) et al., Complex analysis and dynamical systems VI. Part 1: PDE, differential geometry, radon transform. Proceedings of the 6th international conference on complex analysis and dynamical systems in honor of David Shoikhet on the occasion of his sixtieth birthday, Nahariya, Israel, May 19–24, 2013. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-1-4704-1653-9/pbk; 978-1-4704-2817-4/ebook). Contemporary Mathematics 653. Israel Mathematical Conference Proceedings, 243-250 (2015). MSC: 35K10 81R25 32L25 15A66 47S10 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Contemp. Math. 653, 243--250 (2015; Zbl 1346.35082) Full Text: DOI
Bakken, Erik Maki; Digernes, T. Finite approximations of physical models over local fields. (English) Zbl 1345.47067 \(p\)-Adic Numbers Ultrametric Anal. Appl. 7, No. 4, 245-258 (2015). MSC: 47S10 47N50 81Q10 PDFBibTeX XMLCite \textit{E. M. Bakken} and \textit{T. Digernes}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 7, No. 4, 245--258 (2015; Zbl 1345.47067) Full Text: DOI arXiv
Rosinger, Elemér E. Five departures in logic, mathematics, and thus – whether we like it, or not – in physics as well…. (English) Zbl 1327.81020 Found. Phys. 45, No. 7, 799-805 (2015). MSC: 81P05 00A79 PDFBibTeX XMLCite \textit{E. E. Rosinger}, Found. Phys. 45, No. 7, 799--805 (2015; Zbl 1327.81020) Full Text: DOI
Virtanen, J.; Weisbart, D. Elementary particles on \(p\)-adic spacetime and temperedness of invariant measures. (English) Zbl 1319.81087 \(p\)-Adic Numbers Ultrametric Anal. Appl. 6, No. 4, 318-332 (2014). MSC: 81V25 81V35 81R60 22E43 46F10 PDFBibTeX XMLCite \textit{J. Virtanen} and \textit{D. Weisbart}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 6, No. 4, 318--332 (2014; Zbl 1319.81087) Full Text: DOI
Vladimirov, V. S. Tables of integrals for complex-valued functions of \(p\)-adic arguments. (English) Zbl 1316.11001 Proc. Steklov Inst. Math. 284, Suppl. 2, S1-S59 (2014). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11-02 11S80 26E30 81Q99 PDFBibTeX XMLCite \textit{V. S. Vladimirov}, Proc. Steklov Inst. Math. 284, S1--S59 (2014; Zbl 1316.11001) Full Text: DOI
Yefremov, Alexander P. Physical theories in hypercomplex geometric description. (English) Zbl 1301.81158 Int. J. Geom. Methods Mod. Phys. 11, No. 6, Article ID 1450062, 33 p. (2014). MSC: 81T13 11R52 81V10 81Q05 70H05 81R25 15A66 53C26 46S10 PDFBibTeX XMLCite \textit{A. P. Yefremov}, Int. J. Geom. Methods Mod. Phys. 11, No. 6, Article ID 1450062, 33 p. (2014; Zbl 1301.81158) Full Text: DOI
Lapidus, Michel L.; Hùng, Lũ’; van Frankenhuijsen, Machiel Minkowski measurability and exact fractal tube formulas for \(p\)-adic self-similar strings. (English) Zbl 1321.37081 Carfì, David (ed.) et al., Fractal geometry and dynamical systems in pure and applied mathematics I: Fractals in pure mathematics. Selected papers based on three conferences following the passing of Benoît Mandelbrot in October 2010. 1st PISRS 2011 international conference on analysis, fractal geometry, dynamical systems and economics, Messina, Italy, November 8–12, 2011, AMS special session on fractal geometry in pure and applied mathematics, in memory of Benoît Mandelbrot, Boston, MA, USA, January 2012, AMS special session on geometry and analysis on fractal spaces, Honolulu, HI, USA, March 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9147-6/pbk; 978-1-4704-1082-7/ebook). Contemporary Mathematics 600, 161-184 (2013). MSC: 37P20 11M41 26E30 28A12 28A80 11M06 11K41 30G06 32P05 46S10 47S10 81Q65 PDFBibTeX XMLCite \textit{M. L. Lapidus} et al., Contemp. Math. 600, 161--184 (2013; Zbl 1321.37081) Full Text: DOI arXiv
Zelenov, E. I. Models of \(p\)-adic mechanics. (English. Russian original) Zbl 1282.70002 Theor. Math. Phys. 174, No. 2, 247-252 (2013); translation from Teor. Mat. Fiz. 174, No. 2, 285-291 (2013). MSC: 70A99 81Q65 47N50 47S10 PDFBibTeX XMLCite \textit{E. I. Zelenov}, Theor. Math. Phys. 174, No. 2, 247--252 (2013; Zbl 1282.70002); translation from Teor. Mat. Fiz. 174, No. 2, 285--291 (2013) Full Text: DOI
Benci, Vieri Ultrafunctions and generalized solutions. (English) Zbl 1273.26035 Adv. Nonlinear Stud. 13, No. 2, 461-486 (2013). MSC: 26E30 26E35 35D99 81Q99 PDFBibTeX XMLCite \textit{V. Benci}, Adv. Nonlinear Stud. 13, No. 2, 461--486 (2013; Zbl 1273.26035) Full Text: DOI arXiv
Hanson, Andrew J.; Ortiz, Gerardo; Sabry, Amr; Tai, Yu-Tsung Geometry of discrete quantum computing. (English) Zbl 1268.81009 J. Phys. A, Math. Theor. 46, No. 18, Article ID 185301, 21 p. (2013); correction ibid. 49, No. 3, Article ID 039501, 2 p. (2016). MSC: 81P05 81P40 81P68 16T05 46S10 47S10 51N15 PDFBibTeX XMLCite \textit{A. J. Hanson} et al., J. Phys. A, Math. Theor. 46, No. 18, Article ID 185301, 21 p. (2013; Zbl 1268.81009) Full Text: DOI arXiv
Chang, Lay Nam; Lewis, Zachary; Minic, Djordje; Takeuchi, Tatsu Spin and rotations in Galois field quantum mechanics. (English) Zbl 1263.81021 J. Phys. A, Math. Theor. 46, No. 6, Article ID 065304, 19 p. (2013). MSC: 81P40 81Q05 81R05 81P15 46S10 11S20 PDFBibTeX XMLCite \textit{L. N. Chang} et al., J. Phys. A, Math. Theor. 46, No. 6, Article ID 065304, 19 p. (2013; Zbl 1263.81021) Full Text: DOI arXiv
Baez, John C. Division algebras and quantum theory. (English) Zbl 1259.81023 Found. Phys. 42, No. 7, 819-855 (2012). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 81Q05 46S10 81R05 20C35 11R52 16W10 54F05 PDFBibTeX XMLCite \textit{J. C. Baez}, Found. Phys. 42, No. 7, 819--855 (2012; Zbl 1259.81023) Full Text: DOI arXiv
Kwaśniewski, Andrzej Krzysztof Glimpses of the octonions and quaternions history and today’s applications in quantum physics. (English) Zbl 1301.81015 Adv. Appl. Clifford Algebr. 22, No. 1, 87-105 (2012). MSC: 81P05 81-02 11R52 17A35 47S10 PDFBibTeX XMLCite \textit{A. K. Kwaśniewski}, Adv. Appl. Clifford Algebr. 22, No. 1, 87--105 (2012; Zbl 1301.81015) Full Text: DOI arXiv
Vourdas, A. Quantum mechanics on \(\mathbb{Q}/\mathbb{Z}\). (English) Zbl 1317.81156 J. Math. Phys. 52, No. 6, 062103, 16 p. (2011). MSC: 81R30 81S30 11D88 46S10 47S10 PDFBibTeX XMLCite \textit{A. Vourdas}, J. Math. Phys. 52, No. 6, 062103, 16 p. (2011; Zbl 1317.81156) Full Text: DOI
Lapidus, Michel L.; Hùng, Lũ’ The geometry of \(p\)-adic fractal strings: a comparative survey. (English) Zbl 1276.37053 Araujo-Gomez, Jesus (ed.) et al., Advances in non-Archimedean analysis. 11th international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5291-0/pbk). Contemporary Mathematics 551, 163-206 (2011). MSC: 37P20 28A80 11K41 11M41 46S10 81Q65 PDFBibTeX XMLCite \textit{M. L. Lapidus} and \textit{L. Hùng}, Contemp. Math. 551, 163--206 (2011; Zbl 1276.37053) Full Text: arXiv
Menotti, Pietro Riemann-Hilbert treatment of Liouville theory on the torus: the general case. (English) Zbl 1225.81124 J. Phys. A, Math. Theor. 44, No. 33, 18 p. (2011). MSC: 81T40 81T30 37F30 37P30 PDFBibTeX XMLCite \textit{P. Menotti}, J. Phys. A, Math. Theor. 44, No. 33, 18 p. (2011; Zbl 1225.81124) Full Text: DOI arXiv
Varadarajan, V. S.; Virtanen, Jukka T. Structure, classification, and conformal symmetry of elementary particles over non-Archimedean space-time. (English) Zbl 1258.81050 \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 2, 157-174 (2010). MSC: 81R25 81R05 83A99 11E95 81Q65 PDFBibTeX XMLCite \textit{V. S. Varadarajan} and \textit{J. T. Virtanen}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 2, 157--174 (2010; Zbl 1258.81050) Full Text: DOI arXiv
Baez, John C.; Huerta, John Division algebras and supersymmetry. I. (English) Zbl 1210.81117 Doran, Robert S. (ed.) et al., Superstrings, geometry, topology, and \(C^*\)-algebras. Collected papers based on the presentations at the NDF-CBMS regional conference on mathematics on topology, \(C^*\)-algebras, and string duality, Fort Worth, TX, USA, May 18–22, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4887-6/hbk). Proceedings of Symposia in Pure Mathematics 81, 65-80 (2010). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 81T60 81R25 81Q60 11R52 15B33 46S10 81T13 PDFBibTeX XMLCite \textit{J. C. Baez} and \textit{J. Huerta}, Proc. Symp. Pure Math. 81, 65--80 (2010; Zbl 1210.81117) Full Text: arXiv
Eliovich, A. A.; Sanyuk, V. I. Some aspects of applying polynorms in field theory. (English. Russian original) Zbl 1196.81272 Theor. Math. Phys. 162, No. 2, 135-148 (2010); translation from Teor. Mat. Fiz. 162, No. 2, 163-178 (2010). MSC: 81V35 81V10 32A30 46S10 PDFBibTeX XMLCite \textit{A. A. Eliovich} and \textit{V. I. Sanyuk}, Theor. Math. Phys. 162, No. 2, 135--148 (2010; Zbl 1196.81272); translation from Teor. Mat. Fiz. 162, No. 2, 163--178 (2010) Full Text: DOI
Tangara, Fana A \(p\)-adic \(q\)-deformation of the Weyl algebra, for \(q\) a \(p^N\)-th root of unity. (English) Zbl 1244.47066 Berz, Martin (ed.) et al., Advances in \(p\)-adic and non-Archimedean analysis. Tenth international conference, Michigan State University, East Lansing, MI, USA, June 30–July 3, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4740-4/pbk). Contemporary Mathematics 508, 253-269 (2010). Reviewer: Cristina Pérez-García (Santander) MSC: 47S10 47B37 81R15 PDFBibTeX XMLCite \textit{F. Tangara}, Contemp. Math. 508, 253--269 (2010; Zbl 1244.47066)
Dzhunushaliev, Vladimir Hidden nonassociative structure in supersymmetric quantum mechanics. (English) Zbl 1201.81062 Ann. Phys. (8) 19, No. 6, 382-388 (2010). Reviewer: Primitivo Belén Acosta-Humánez (Bogotá) MSC: 81Q60 47E05 47L70 16W10 47S10 11R52 PDFBibTeX XMLCite \textit{V. Dzhunushaliev}, Ann. Phys. (8) 19, No. 6, 382--388 (2010; Zbl 1201.81062) Full Text: DOI arXiv
Litvinov, G. L. Tropical mathematics, classical mechanics and geometry. arXiv:1001.4247 Preprint, arXiv:1001.4247 [math.RA] (2010). MSC: 81Q20 14M25 16S80 70H20 14T05 46S10 51P05 52A20 BibTeX Cite \textit{G. L. Litvinov}, ``Tropical mathematics, classical mechanics and geometry'', Preprint, arXiv:1001.4247 [math.RA] (2010) Full Text: arXiv OA License
Antoniadis, I.; Hohenegger, S.; Narain, K. S.; Sokatchev, E. A new class of \({\mathcal N}=2\) topological amplitudes. (English) Zbl 1196.83032 Nucl. Phys., B 823, No. 3, 448-508 (2009). MSC: 83E50 81T05 83E30 37P45 PDFBibTeX XMLCite \textit{I. Antoniadis} et al., Nucl. Phys., B 823, No. 3, 448--508 (2009; Zbl 1196.83032) Full Text: DOI arXiv
Digernes, Trond; Weisbart, David Matrix-valued Schrödinger operators over local fields. (English) Zbl 1187.47037 \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 2, 136-144 (2009). MSC: 47D08 47G30 81Q10 47N50 47S10 60B11 PDFBibTeX XMLCite \textit{T. Digernes} and \textit{D. Weisbart}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 2, 136--144 (2009; Zbl 1187.47037) Full Text: DOI
Vladimirov, V. S. On the equations for \(p\) -adic closed and open strings. (English) Zbl 1187.35305 \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 1, 79-87 (2009). MSC: 35S15 30G06 81T30 83E30 PDFBibTeX XMLCite \textit{V. S. Vladimirov}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 1, 79--87 (2009; Zbl 1187.35305) Full Text: DOI
Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V. On \(p\)-adic mathematical physics. (English) Zbl 1187.81004 \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 1, 1-17 (2009). Reviewer: Olaf Ninnemann (Berlin) MSC: 81-02 81Q65 00A69 11S80 12J25 PDFBibTeX XMLCite \textit{B. Dragovich} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 1, 1--17 (2009; Zbl 1187.81004) Full Text: DOI arXiv
Albeverio, S.; Cianci, R.; Khrennikov, A. Yu. Operator calculus for \(p\)-adic valued symbols and quantization. (English) Zbl 1244.47065 Rend. Semin. Mat., Univ. Politec. Torino 67, No. 2, 137-150 (2009). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47S10 11S80 11E95 47N50 81S99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Rend. Semin. Mat., Univ. Politec. Torino 67, No. 2, 137--150 (2009; Zbl 1244.47065)
Anashin, Vladimir; Khrennikov, Andrei Applied algebraic dynamics. (English) Zbl 1184.37002 de Gruyter Expositions in Mathematics 49. Berlin: Walter de Gruyter (ISBN 978-3-11-020300-4/pbk). xxiv, 533 p. (2009). Reviewer: Franco Vivaldi (London) MSC: 37-02 11-02 37A45 37Pxx 11S82 60B99 81P99 92D10 PDFBibTeX XMLCite \textit{V. Anashin} and \textit{A. Khrennikov}, Applied algebraic dynamics. Berlin: Walter de Gruyter (2009; Zbl 1184.37002)
Dalir, Mehdi; Bashour, Majid Generalized Riesz superspace. (English) Zbl 1348.46023 Adv. Stud. Theor. Phys. 2, No. 9-12, 549-559 (2008). MSC: 46B42 46S10 58A50 81R15 06F20 PDFBibTeX XMLCite \textit{M. Dalir} and \textit{M. Bashour}, Adv. Stud. Theor. Phys. 2, No. 9--12, 549--559 (2008; Zbl 1348.46023) Full Text: Link
Zelenov, E. I. Equivalence of commutation relations. (English. Russian original) Zbl 1155.81343 Theor. Math. Phys. 157, No. 3, 1707-1712 (2008); translation from Teor. Mat. Fiz. 157, No. 3, 406-412 (2008). MSC: 81R60 46S10 46L99 PDFBibTeX XMLCite \textit{E. I. Zelenov}, Theor. Math. Phys. 157, No. 3, 1707--1712 (2008; Zbl 1155.81343); translation from Teor. Mat. Fiz. 157, No. 3, 406--412 (2008) Full Text: DOI
Scolarici, G.; Solombrino, L. Quasistationary quaternionic Hamiltonians and complex stochastic maps. (English) Zbl 1140.81392 J. Phys. A, Math. Theor. 41, No. 24, Article ID 244024, 8 p. (2008). MSC: 81Q10 20G20 47S10 PDFBibTeX XMLCite \textit{G. Scolarici} and \textit{L. Solombrino}, J. Phys. A, Math. Theor. 41, No. 24, Article ID 244024, 8 p. (2008; Zbl 1140.81392) Full Text: DOI arXiv
Soibelman, Yan Quantum \(p\)-adic spaces and quantum \(p\)-adic groups. (English) Zbl 1139.12008 Kapranov, Mikhail (ed.) et al., Geometry and dynamics of groups and spaces. In memory of Alexander Reznikov. Partly based on the international conference on geometry and dynamics of groups and spaces in memory of Alexander Reznikov, Bonn, Germany, September 22–29, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8607-8/hbk). Progress in Mathematics 265, 697-719 (2008). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 12J25 14J32 17B37 81R50 32Q25 PDFBibTeX XMLCite \textit{Y. Soibelman}, Prog. Math. 265, 697--719 (2008; Zbl 1139.12008) Full Text: arXiv
Albeverio, S.; Kuzhel, S.; Torba, S. \(p\)-adic Schrödinger-type operator with point interactions. (English) Zbl 1136.81021 J. Math. Anal. Appl. 338, No. 2, 1267-1281 (2008). MSC: 81Q10 47S10 26A33 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Math. Anal. Appl. 338, No. 2, 1267--1281 (2008; Zbl 1136.81021) Full Text: DOI arXiv
Margetis, Dionisios; Grillakis, Manoussos G. Impurity and quaternions in nonrelativistic scattering from a quantum memory. (English) Zbl 1139.81021 J. Phys. A, Math. Theor. 41, No. 6, Article ID 065307, 15 p. (2008). Reviewer: Eugene Kryachko (Liège) MSC: 81P68 81U99 81S05 81P15 46S10 PDFBibTeX XMLCite \textit{D. Margetis} and \textit{M. G. Grillakis}, J. Phys. A, Math. Theor. 41, No. 6, Article ID 065307, 15 p. (2008; Zbl 1139.81021) Full Text: DOI arXiv
Asorey, M.; Scolarici, G.; Solombrino, L. Complex projections of completely positive quaternionic maps. (English. Russian original) Zbl 1160.15024 Theor. Math. Phys. 151, No. 3, 735-743 (2007); translation from Teor. Mat. Fiz. 151, No. 3, 360-370 (2007). Reviewer: Bhavana Deshpande (Ratlam) MSC: 15A90 15B33 81P15 47S10 PDFBibTeX XMLCite \textit{M. Asorey} et al., Theor. Math. Phys. 151, No. 3, 735--743 (2007; Zbl 1160.15024); translation from Teor. Mat. Fiz. 151, No. 3, 360--370 (2007) Full Text: DOI
Han, Jongmin; Huh, Hyungjin Self-dual vortices in a Maxwell-Chern-Simons model with non-minimal coupling. (English) Zbl 1131.81019 Lett. Math. Phys. 82, No. 1, 9-24 (2007). MSC: 81T10 81T13 35A05 46S10 PDFBibTeX XMLCite \textit{J. Han} and \textit{H. Huh}, Lett. Math. Phys. 82, No. 1, 9--24 (2007; Zbl 1131.81019) Full Text: DOI
Kiukas, J.; Lahti, P. Quantization and noiseless measurements. (English) Zbl 1109.81014 J. Phys. A, Math. Theor. 40, No. 9, 2083-2091 (2007). MSC: 81P15 81S10 28B05 46S10 PDFBibTeX XMLCite \textit{J. Kiukas} and \textit{P. Lahti}, J. Phys. A, Math. Theor. 40, No. 9, 2083--2091 (2007; Zbl 1109.81014) Full Text: DOI arXiv
Kozyrev, S. V.; Khrennikov, A. Yu. Localization in space for a free particle in ultrametric quantum mechanics. (English. Russian original) Zbl 1209.81115 Dokl. Math. 74, No. 3, 906-909 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 3, 319-322 (2006). Reviewer: Eugene Kryachko (Liège) MSC: 81Q10 82B41 35S11 PDFBibTeX XMLCite \textit{S. V. Kozyrev} and \textit{A. Yu. Khrennikov}, Dokl. Math. 74, No. 3, 906--909 (2006; Zbl 1209.81115); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 3, 319--322 (2006) Full Text: DOI
Dragovich, Branko Invariance in adelic quantum mechanics. (English) Zbl 1117.81332 Czech. J. Phys. 56, No. 10-11, 1137-1142 (2006). MSC: 81Q99 47S10 81Q05 81Q30 PDFBibTeX XMLCite \textit{B. Dragovich}, Czech. J. Phys. 56, No. 10--11, 1137--1142 (2006; Zbl 1117.81332) Full Text: DOI arXiv
Rochon, D.; Tremblay, S. Bicomplex quantum mechanics. II: The Hilbert space. (English) Zbl 1142.81010 Adv. Appl. Clifford Algebr. 16, No. 2, 135-157 (2006). MSC: 81Q05 47S10 46S10 PDFBibTeX XMLCite \textit{D. Rochon} and \textit{S. Tremblay}, Adv. Appl. Clifford Algebr. 16, No. 2, 135--157 (2006; Zbl 1142.81010) Full Text: DOI arXiv
Asorey, M.; Scolarici, G. Complex positive maps and quaternionic unitary evolution. (English) Zbl 1103.81012 J. Phys. A, Math. Gen. 39, No. 31, 9727-9741 (2006). Reviewer: Jan Hamhalter (Praha) MSC: 81P10 47B65 81S25 47S10 20G20 PDFBibTeX XMLCite \textit{M. Asorey} and \textit{G. Scolarici}, J. Phys. A, Math. Gen. 39, No. 31, 9727--9741 (2006; Zbl 1103.81012) Full Text: DOI
Ławrynowicz, Julian Quaternions and fractals vs. Finslerian geometry. III: Graded fractal bundles related to quaternionic structure. (English) Zbl 1103.81024 Bull. Soc. Sci. Lett. Łódź 55, Sér. Rech. Déform. 48, 65-82 (2005). MSC: 81R60 58B34 53C80 58B20 46S10 28A80 PDFBibTeX XMLCite \textit{J. Ławrynowicz}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 55(48), 65--82 (2005; Zbl 1103.81024)
Ławrynowicz, Julian Quaternions and fractals vs. Finslerian geometry. II: Noncommutative hypercomplex analysis and \(C^*\)-algebras generated by isometries. (English) Zbl 1102.81051 Bull. Soc. Sci. Lett. Łódź 55, Sér. Rech. Déform. 48, 47-63 (2005). MSC: 81R60 58B34 46L87 53C80 58B20 46S10 28A80 PDFBibTeX XMLCite \textit{J. Ławrynowicz}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 55(48), 47--63 (2005; Zbl 1102.81051)
Ławrynowicz, Julian Quaternions and fractals vs. Finslerian geometry. B: Algebraic possibilities (quaternions, octonions, sedenions). (English) Zbl 1102.81050 Bull. Soc. Sci. Lett. Łódź 55, Sér. Rech. Déform. 47, 67-82 (2005). MSC: 81R50 46S10 11R52 58B20 PDFBibTeX XMLCite \textit{J. Ławrynowicz}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 55(47), 67--82 (2005; Zbl 1102.81050)
Ławrynowicz, Julian Quaternions and fractals vs. Finslerian geometry. I: Quaternion-based modifications of the Cayley-Dickson process. (English) Zbl 1101.81072 Bull. Soc. Sci. Lett. Łódź 55, Sér. Rech. Déform. 47, 83-98 (2005). MSC: 81R60 53C80 83E15 46S10 28A80 58B20 PDFBibTeX XMLCite \textit{J. Ławrynowicz}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 55(47), 83--98 (2005; Zbl 1101.81072)
Ławrynowicz, Julian Quaternions and fractals vs. Finslerian geometry. A: Quaternions, noncommutativity, and \(C^*\)-algebras. (English) Zbl 1101.81071 Bull. Soc. Sci. Lett. Łódź 55, Sér. Rech. Déform. 47, 55-66 (2005). MSC: 81R60 58B34 46L87 53C80 46S10 28A80 58B20 PDFBibTeX XMLCite \textit{J. Ławrynowicz}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 55(47), 55--66 (2005; Zbl 1101.81071)
Ahn, Sung Ki; Ko, Chul Ki; Pyung, In Soo A family of quantum Markov semigroups. (English) Zbl 1096.46040 Commun. Korean Math. Soc. 20, No. 4, 751-763 (2005). Reviewer: Franco Fagnola (Milano) MSC: 46S10 46L55 81R15 PDFBibTeX XMLCite \textit{S. K. Ahn} et al., Commun. Korean Math. Soc. 20, No. 4, 751--763 (2005; Zbl 1096.46040) Full Text: DOI
Schneider, Baruch Singular integrals of the time-harmonic relativistic Dirac equation on a piecewise Liapunov surface. (English) Zbl 1081.81035 Electron. J. Differ. Equ. 2005, Paper No. 96, 8 p. (2005). MSC: 81Q05 35Q40 35Q75 46S10 PDFBibTeX XMLCite \textit{B. Schneider}, Electron. J. Differ. Equ. 2005, Paper No. 96, 8 p. (2005; Zbl 1081.81035) Full Text: EuDML EMIS
Litvinov, G. L. The Maslov dequantization, idempotent and tropical mathematics: a brief introduction. (Russian, English) Zbl 1102.46049 Zap. Nauchn. Semin. POMI 326, 145-182 (2005); translation in J. Math. Sci., New York 140, No. 3, 426-444 (2007). Reviewer: Nikolai I. Osetinski (Moskva) MSC: 46S10 00A05 81Q20 14P99 16Y60 68M07 PDFBibTeX XMLCite \textit{G. L. Litvinov}, Zap. Nauchn. Semin. POMI 326, 145--182 (2005; Zbl 1102.46049); translation in J. Math. Sci., New York 140, No. 3, 426--444 (2007) Full Text: arXiv EuDML Link
Litvinov, G. L. The Maslov dequantization, idempotent and tropical mathematics: a very brief introduction. (English) Zbl 1096.46045 Litvinov, G. L. (ed.) et al., Idempotent mathematics and mathematical physics. Proceedings of the international workshop, Vienna, Austria, February 3–10, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3538-6/pbk). Contemporary Mathematics 377, 1-17 (2005). MSC: 46S10 00A05 81Q20 14P99 51P05 49L20 PDFBibTeX XMLCite \textit{G. L. Litvinov}, Contemp. Math. 377, 1--17 (2005; Zbl 1096.46045) Full Text: arXiv
Smet, Geert; Van den Bergh, Joris O3/O7 orientifold truncations and very special quaternionic-Kähler geometry. (English) Zbl 1060.81053 Classical Quantum Gravity 22, No. 1, 1-21 (2005). Reviewer: Vladimir Balan (Bucureşti) MSC: 81T30 53C26 83E50 14J32 32Q25 83E15 46S10 PDFBibTeX XMLCite \textit{G. Smet} and \textit{J. Van den Bergh}, Classical Quantum Gravity 22, No. 1, 1--21 (2005; Zbl 1060.81053) Full Text: DOI arXiv
Vladimirov, V. S.; Volovich, Ya. I. Nonlinear dynamics equation in \(p\)-adic string theory. (English) Zbl 1178.81174 Theor. Math. Phys. 138, No. 3, 297-309 (2004); translation from Teor. Mat. Fiz. 138, No. 3, 355-368 (2004). MSC: 81T10 11Z05 46S10 35L70 PDFBibTeX XMLCite \textit{V. S. Vladimirov} and \textit{Ya. I. Volovich}, Theor. Math. Phys. 138, No. 3, 297--309 (2004; Zbl 1178.81174); translation from Teor. Mat. Fiz. 138, No. 3, 355--368 (2004) Full Text: DOI arXiv
Khrennikov, A. \(p\)-adic discrete dynamical systems and their applications in physics and cognitive sciences. (English) Zbl 1179.37125 Russ. J. Math. Phys. 11, No. 1, 45-70 (2004). MSC: 37P99 37N25 54H20 81Q99 81T30 82B99 92C99 PDFBibTeX XMLCite \textit{A. Khrennikov}, Russ. J. Math. Phys. 11, No. 1, 45--70 (2004; Zbl 1179.37125)
De Leo, S.; Ducati, G. C. Real linear quaternionic differential operators. (English) Zbl 1059.81038 Comput. Math. Appl. 48, No. 12, 1893-1903 (2004). MSC: 81Q05 47S10 46S10 20G30 PDFBibTeX XMLCite \textit{S. De Leo} and \textit{G. C. Ducati}, Comput. Math. Appl. 48, No. 12, 1893--1903 (2004; Zbl 1059.81038) Full Text: DOI
Digernes, Trond Finite approximations and physics over unconventional fields. (English) Zbl 1057.81514 Kosaki, Hideki (ed.), Operator algebras and applications. Proceedings of the US-Japan seminar held at Kyushu University, Fukuoka, Japan, June 7–11, 1999. Tokyo: Mathematical Society of Japan (ISBN 4-931469-23-X/hbk). Advanced Studies in Pure Mathematics 38, 267-269 (2004). MSC: 81Q05 81P05 81R05 22B05 11R56 81Q99 81S99 PDFBibTeX XMLCite \textit{T. Digernes}, Adv. Stud. Pure Math. 38, 267--269 (2004; Zbl 1057.81514)
Kozyrev, S. V. Rigged Hilbert space of free coherent states and \(p\)-adic numbers. (English) Zbl 1178.81115 Theor. Math. Phys. 135, No. 2, 642-650 (2003); translation from Teor. Mat. Fiz. 135, No. 2, 229-239 (2003). MSC: 81R30 37P20 11Z05 46N50 PDFBibTeX XMLCite \textit{S. V. Kozyrev}, Theor. Math. Phys. 135, No. 2, 642--650 (2003; Zbl 1178.81115); translation from Teor. Mat. Fiz. 135, No. 2, 229--239 (2003) Full Text: DOI arXiv
Khrennikov, A. Yu. Non-Archimedean analysis and its applications. (Неархимедов анализ и его приложения.) (Russian) Zbl 1104.46047 Moscow: Fiziko-Matematicheskaya Literatura (ISBN 5-9221-0191-9). 216 p. (2003). Reviewer: Anatoly N. Kochubei (MR 2005c:46111) MSC: 46S10 46-02 11S85 47S10 81Q99 81T99 94A99 PDFBibTeX XMLCite \textit{A. Yu. Khrennikov}, Неархимедов анализ и его приложения (Russian). Moscow: Fiziko-Matematicheskaya Literatura (2003; Zbl 1104.46047)
Pérez, Raúl Castillo; Kravchenko, Vladislav V. General solution of the fermionic Casimir effect model. (English) Zbl 1101.81340 Bull. Soc. Sci. Lett. Łódź 53, Sér. Rech. Déform. 41, 115-123 (2003). MSC: 81T05 46S10 PDFBibTeX XMLCite \textit{R. C. Pérez} and \textit{V. V. Kravchenko}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 53(41), 115--123 (2003; Zbl 1101.81340)
Kravchenko, Vladislav; Ramírez Tachiquin, Marco P. On a quaternionic reformulation of the Dirac equation and its relationship with Maxwell’s system. (English) Zbl 1101.81051 Bull. Soc. Sci. Lett. Łódź 53, Sér. Rech. Déform. 41, 101-114 (2003). MSC: 81Q05 35Q60 46S10 PDFBibTeX XMLCite \textit{V. Kravchenko} and \textit{M. P. Ramírez Tachiquin}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 53(41), 101--114 (2003; Zbl 1101.81051)
Vladimirov, V. S. Tables of integrals of complex valued functions of \(p\)-adic arguments. (Таблицы интегралов комплекснозначных функций \(p\)-адических аргументов.) (Russian) Zbl 1062.11003 Sovremennye Problemy Matematiki 2. Moskva: Matematicheskiĭ Institut Im. V. A. Steklova, RAN (ISBN 5-98419-001-X/pbk). 88 p. (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11-02 11S80 26E30 81Q99 65A05 PDFBibTeX XMLCite \textit{V. S. Vladimirov}, Таблицы интегралов комплекснозначных функций \(p\)-адических аргументов (Russian). Moskva: Matematicheskij Institut Im. V. A. Steklova, RAN (2003; Zbl 1062.11003) Full Text: arXiv
Kochubei, Anatoly N.; Sait-Ametov, Mustafa R. Interaction measures on the space of distributions over the field of \(p\)-adic numbers. (English) Zbl 1053.81067 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6, No. 3, 389-411 (2003). Reviewer: Hideo Yamagata (Osaka) MSC: 81T08 11S85 11Z05 28C20 60B99 11S80 26E30 PDFBibTeX XMLCite \textit{A. N. Kochubei} and \textit{M. R. Sait-Ametov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6, No. 3, 389--411 (2003; Zbl 1053.81067) Full Text: DOI arXiv
Kravchenko, Viktor G.; Kravchenko, Vladislav V. Quaternionic factorization of the Schrödinger operator and its applications to some first-order systems of mathematical physics. (English) Zbl 1047.81023 J. Phys. A, Math. Gen. 36, No. 44, 11285-11297 (2003). MSC: 81Q10 47S10 35F05 35A08 35J10 35Q60 35Q40 PDFBibTeX XMLCite \textit{V. G. Kravchenko} and \textit{V. V. Kravchenko}, J. Phys. A, Math. Gen. 36, No. 44, 11285--11297 (2003; Zbl 1047.81023) Full Text: DOI arXiv
Vladimirov, V. S. Beta functions of local fields of characteristic zero. Applications to string amplitudes. (English. Russian original) Zbl 1033.81071 Izv. Math. 66, No. 1, 41-57 (2002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 1, 43-58 (2002). Reviewer: Werner Kleinert (Berlin) MSC: 81T30 53C80 81R10 33B15 35Q40 81Q99 46S10 46F05 46F10 PDFBibTeX XMLCite \textit{V. S. Vladimirov}, Izv. Math. 66, No. 1, 41--57 (2002; Zbl 1033.81071); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 1, 43--58 (2002) Full Text: DOI
De Leo, Stefano; Ducati, Gisele Quaternionic differential operators. (English) Zbl 1014.81013 J. Math. Phys. 42, No. 5, 2236-2265 (2001). MSC: 81Q05 34L40 47S10 PDFBibTeX XMLCite \textit{S. De Leo} and \textit{G. Ducati}, J. Math. Phys. 42, No. 5, 2236--2265 (2001; Zbl 1014.81013) Full Text: DOI arXiv
Iftimovici, Andrei Nonperturbative techniques in the investigation of the spectral properties of many-channel systems. (English) Zbl 1024.47050 Demuth, Michael (ed.) et al., Partial differential equations and spectral theory. Proceedings of the PDE 2000 conference, Clausthal, Germany, July 24-28, 2000. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 126, 155-163 (2001). MSC: 47L90 81R15 81U10 47C15 47S10 PDFBibTeX XMLCite \textit{A. Iftimovici}, in: Partial differential equations and spectral theory. Proceedings of the PDE 2000 conference, Clausthal, Germany, July 24--28, 2000. Basel: Birkhäuser. 155--163 (2001; Zbl 1024.47050)
Dimitrijević, D.; Djordjević, G. S.; Dragovich, B. On Schrödinger-type equation on \(p\)-adic spaces. (English) Zbl 1121.81310 Bulg. J. Phys. 27, No. 3, 50-53 (2000). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 81Q99 35Q40 46S10 PDFBibTeX XMLCite \textit{D. Dimitrijević} et al., Bulg. J. Phys. 27, No. 3, 50--53 (2000; Zbl 1121.81310)
Lerner, È. Yu.; Missarov, M. D. Dimensional renormalization in \(p\)-adic models of field theory. (English. Russian original) Zbl 1066.81590 Theor. Math. Phys. 123, No. 3, 801-812 (2000); translation from Teor. Mat. Fiz. 123, No. 3, 462-475 (2000). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 81T17 81Q30 46S10 PDFBibTeX XMLCite \textit{È. Yu. Lerner} and \textit{M. D. Missarov}, Theor. Math. Phys. 123, No. 3, 801--812 (2000; Zbl 1066.81590); translation from Teor. Mat. Fiz. 123, No. 3, 462--475 (2000) Full Text: DOI
Albeverio, S.; Bayod, J. M.; Perez-Garsia, C.; Cianci, R.; Khrennikov, A. Yu. Non-Archimedean analogues of orthogonal and symmetric operators. (English. Russian original) Zbl 0974.47054 Izv. Math. 63, No. 6, 1063-1087 (1999); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 6, 3-28 (1999). Reviewer: S.L.Singh (Rishikesh) MSC: 47S10 46S10 47N50 81Q99 47B99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Izv. Math. 63, No. 6, 1063--1087 (1999; Zbl 0974.47054); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 6, 3--28 (1999) Full Text: DOI
Khrennikov, A. Superanalysis. Transl. from the Russian. Updated and revised translation. (English) Zbl 0929.58002 Mathematics and its Applications (Dordrecht). 470. Dordrecht: Kluwer Academic Publishers. ix, 347 p. (1999). MSC: 58A50 58-02 58C50 81T30 58J40 60E99 46F99 46S10 PDFBibTeX XMLCite \textit{A. Khrennikov}, Superanalysis. Transl. from the Russian. Updated and revised translation. Dordrecht: Kluwer Academic Publishers (1999; Zbl 0929.58002)
Khrennikov, Andrei; Yamada, Shinichi; van Rooij, Arnoud The measure-theoretical approach to \(p\)-adic probability theory. (English) Zbl 0941.60010 Ann. Math. Blaise Pascal 6, No. 1, 21-32 (1999). MSC: 60A99 11S80 81P99 PDFBibTeX XMLCite \textit{A. Khrennikov} et al., Ann. Math. Blaise Pascal 6, No. 1, 21--32 (1999; Zbl 0941.60010) Full Text: DOI Numdam EuDML
Khrennikov, Andrew \(p\)-adic stochastic hidden variable model. (English) Zbl 1056.81501 J. Math. Phys. 39, No. 3, 1388-1401 (1998). MSC: 81P10 11Z05 46S10 60A99 PDFBibTeX XMLCite \textit{A. Khrennikov}, J. Math. Phys. 39, No. 3, 1388--1401 (1998; Zbl 1056.81501) Full Text: DOI
Ganikhodjaev, N. N.; Mukhamedov, F. M.; Rozikov, U. A. On nonarchimedean Ising models. (Russian) Zbl 0980.46055 Dokl. Akad. Nauk Resp. Uzb., Mat. Tekh. Nauki Estestvozn. 1998, No. 11, 6-9 (1998). MSC: 46S10 81T10 81V45 47S10 PDFBibTeX XMLCite \textit{N. N. Ganikhodjaev} et al., Dokl. Akad. Nauk Resp. Uzb., Mat. Tekh. Nauki Estestvozn. 1998, No. 11, 6--9 (1998; Zbl 0980.46055)
Kochubei, Anatoly N. Harmonic oscillator in characteristic \(p\). (English) Zbl 1036.11520 Lett. Math. Phys. 45, No. 1, 11-20 (1998). MSC: 11S80 46S10 47S10 11Z05 81S05 81R30 81R05 PDFBibTeX XMLCite \textit{A. N. Kochubei}, Lett. Math. Phys. 45, No. 1, 11--20 (1998; Zbl 1036.11520) Full Text: DOI arXiv
Jang, Youngho Non-Archimedean quantum mechanics. (English) Zbl 0910.46059 Tohoku Mathematical Publications. 10. Sendai: Tohoku University, 69 p. (1998). Reviewer: P.Kosiński (Łódź) MSC: 46N50 46S10 81P05 47S10 81S05 PDFBibTeX XMLCite \textit{Y. Jang}, Non-Archimedean quantum mechanics. Sendai: Tohoku University (1998; Zbl 0910.46059) Full Text: Link
Albeverio, Sergio; Khrennikov, Andrew A regularization of quantum field Hamiltonians with the aid of \(p\)-adic numbers. (English) Zbl 0896.46047 Acta Appl. Math. 50, No. 3, 225-251 (1998). Reviewer: V.Ya.Kreinovich (El Paso) MSC: 46N50 81T10 46S10 47N50 81P05 81P15 81R10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Khrennikov}, Acta Appl. Math. 50, No. 3, 225--251 (1998; Zbl 0896.46047) Full Text: DOI
Missarov, M. D. \(p\)-adic \(\varphi^ 4\)-theory as a functional equation problem. (English) Zbl 0872.60088 Lett. Math. Phys. 39, No. 3, 253-260 (1997). MSC: 60K35 82B28 81T99 46S10 PDFBibTeX XMLCite \textit{M. D. Missarov}, Lett. Math. Phys. 39, No. 3, 253--260 (1997; Zbl 0872.60088) Full Text: DOI
Varadarajan, V. S. Path integrals for a class of \(p\)-adic Schrödinger equations. (English) Zbl 0868.47047 Lett. Math. Phys. 39, No. 2, 97-106 (1997). MSC: 47S10 81S40 11S99 47N50 PDFBibTeX XMLCite \textit{V. S. Varadarajan}, Lett. Math. Phys. 39, No. 2, 97--106 (1997; Zbl 0868.47047) Full Text: DOI arXiv
Albeverio, Sergio; Cianci, Roberto; Khrennikov, Andrew On the spectrum of the \(p\)-adic position operator. (English) Zbl 0992.81022 J. Phys. A, Math. Gen. 30, No. 3, 881-889 (1997). MSC: 81Q10 11Z05 47N50 47S10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Phys. A, Math. Gen. 30, No. 3, 881--889 (1997; Zbl 0992.81022) Full Text: DOI
Khrennikov, A. Yu. The uncertainty relation for coordinate and impulse operators in the \(p\)-adic Hilbert space. (English. Russian original) Zbl 1050.81511 Dokl. Math. 55, No. 2, 283-285 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 353, No. 4, 449-452 (1997). MSC: 81P15 46S10 PDFBibTeX XMLCite \textit{A. Yu. Khrennikov}, Dokl. Math. 55, No. 2, 449--452 (1997; Zbl 1050.81511); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 353, No. 4, 449--452 (1997)
Albeverio, S.; Cianci, R.; Khrennikov, A. Yu. Representation of a quantum field Hamiltonian in \(p\)-adic Hilbert space. (English. Russian original) Zbl 0968.46519 Theor. Math. Phys. 112, No. 3, 1081-1096 (1997); translation from Teor. Mat. Fiz. 112, No. 3, 355-374 (1997). MSC: 46N50 46S10 81T05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Theor. Math. Phys. 112, No. 3, 1081--1096 (1997; Zbl 0968.46519); translation from Teor. Mat. Fiz. 112, No. 3, 355--374 (1997) Full Text: DOI