Found 159 Documents (Results 1–100)

100
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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).
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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).
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Finite approximations of physical models over local fields. (English)Zbl 1345.47067

MSC:  47S10 47N50 81Q10
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Five departures in logic, mathematics, and thus – whether we like it, or not – in physics as well…. (English)Zbl 1327.81020

MSC:  81P05 00A79
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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).
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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).
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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).
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Riemann-Hilbert treatment of Liouville theory on the torus: the general case. (English)Zbl 1225.81124

MSC:  81T40 81T30 37F30 37P30
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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).
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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).
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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).
MSC:  47S10 47B37 81R15

Some subalgebras of the algebra of bounded linear operators of the one variable Tate algebra. (English)Zbl 1211.46078

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, 13-34 (2010).

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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
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Quasistationary quaternionic Hamiltonians and complex stochastic maps. (English)Zbl 1140.81392

MSC:  81Q10 20G20 47S10
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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).
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$$p$$-adic Schrödinger-type operator with point interactions. (English)Zbl 1136.81021

MSC:  81Q10 47S10 26A33
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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).
MSC:  15A90 15B33 81P15 47S10
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Self-dual vortices in a Maxwell-Chern-Simons model with non-minimal coupling. (English)Zbl 1131.81019

MSC:  81T10 81T13 35A05 46S10
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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).
MSC:  81Q10 82B41 35S11
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Bicomplex quantum mechanics. II: The Hilbert space. (English)Zbl 1142.81010

MSC:  81Q05 47S10 46S10
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A family of quantum Markov semigroups. (English)Zbl 1096.46040

MSC:  46S10 46L55 81R15
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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).
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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).
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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).
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$$p$$-adic discrete dynamical systems and their applications in physics and cognitive sciences. (English)Zbl 1179.37125

MSC:  37P99 37N25 54H20 81Q99 81T30 82B99 92C99

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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).

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).
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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).

General solution of the fermionic Casimir effect model. (English)Zbl 1101.81340

MSC:  81T05 46S10

On a quaternionic reformulation of the Dirac equation and its relationship with Maxwell’s system. (English)Zbl 1101.81051

MSC:  81Q05 35Q60 46S10

Tables of integrals of complex valued functions of $$p$$-adic arguments. (Tablitsy integralov kompleksnoznachnykh funktsiĭ $$p$$-adicheskikh argumentov.) (Russian)Zbl 1062.11003

Sovremennye Problemy Matematiki 2. Moskva: Matematicheskij Institut Im. V. A. Steklova, RAN (ISBN 5-98419-001-X/pbk). 88 p. (2003).
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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).
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Quaternionic differential operators. (English)Zbl 1014.81013

MSC:  81Q05 34L40 47S10
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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).

On Schrödinger-type equation on $$p$$-adic spaces. (English)Zbl 1121.81310

MSC:  81Q99 35Q40 46S10

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).
MSC:  81T17 81Q30 46S10
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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).
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Non-Archimedean analogues of orthogonal and symmetric operators and $$p$$-adic quantization. (English)Zbl 0943.46044

MSC:  46S10 26E30 11S99
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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).

The measure-theoretical approach to $$p$$-adic probability theory. (English)Zbl 0941.60010

MSC:  60A99 11S80 81P99
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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

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