%0 Journal Article %J Int. Math. Res. Not. (2010) 2010:279-296 %D 2010 %T On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system %A Claudio Bartocci %A Gregorio Falqui %A Igor Mencattini %A Giovanni Ortenzi %A Marco Pedroni %X We show that the bi-Hamiltonian structure of the rational n-particle (attractive) Calogero-Moser system can be obtained by means of a double projection from a very simple Poisson pair on the cotangent bundle of gl(n,R). The relation with the Lax formalism is also discussed. %B Int. Math. Res. Not. (2010) 2010:279-296 %I Oxford University Press %G en_US %U http://hdl.handle.net/1963/3800 %1 8 %2 LISNU %3 Interdisciplinary Laboratory for Advanced Studies %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2009-11-26T17:50:52Z\\nNo. of bitstreams: 1\\n0902.0953v2.pdf: 202665 bytes, checksum: 95f41e27482c7e7a0d598e06ea7e7763 (MD5) %R 10.1093/imrn/rnp130 %0 Report %D 2006 %T On a Camassa-Holm type equation with two dependent variables %A Gregorio Falqui %X We consider a generalization of the Camassa Holm (CH) equation with two dependent variables, called CH2, introduced in [16]. We briefly provide an alternative derivation of it based on the theory of Hamiltonian structures\\non (the dual of) a Lie Algebra. The Lie Algebra here involved is the same algebra underlying the NLS hierarchy. We study the structural properties of the CH2 hierarchy within the bihamiltonian theory of integrable PDEs, and\\nprovide its Lax representation. Then we explicitly discuss how to construct classes of solutions, both of peakon and of algebro-geometrical type. We finally sketch the construction of a class of singular solutions, defined by setting to zero one of the two dependent variables. %B J. Phys. A 39 (2006) 327-342 %G en_US %U http://hdl.handle.net/1963/1721 %1 2430 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-01-24T09:13:43Z\\nNo. of bitstreams: 1\\nnlin.SI0505059.pdf: 237623 bytes, checksum: cb1fb914c67ff1b46cf842d1c6853364 (MD5) %R 10.1088/0305-4470/39/2/004 %0 Journal Article %J Czechoslovak Journal of Physics 56 (2006), n. 10-11, 1143-1148 %D 2006 %T Quantisation of bending flows %A Gregorio Falqui %A Fabio Musso %X We briefly review the Kapovich-Millson notion of Bending flows as an integrable system on the space of polygons in ${\\\\bf R}^3$, its connection with a specific Gaudin XXX system, as well as the generalisation to $su(r), r>2$. Then we consider the quantisation problem of the set of Hamiltonians pertaining to the problem, quite naturally called Bending Hamiltonians, and prove that their commutativity is preserved at the quantum level. %B Czechoslovak Journal of Physics 56 (2006), n. 10-11, 1143-1148 %G en_US %U http://hdl.handle.net/1963/2537 %1 1582 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-12-19T10:53:01Z\\nNo. of bitstreams: 1\\n0610003v1.pdf: 113471 bytes, checksum: 34a8a67eda45bff5d2e70aaa0c1edf65 (MD5) %R 10.1007/s10582-006-0415-9 %0 Report %D 2006 %T On Separation of Variables for Homogeneous SL(r) Gaudin Systems %A Gregorio Falqui %A Fabio Musso %X By means of a recently introduced bihamiltonian structure for the homogeneous Gaudin models, we find a new set of Separation Coordinates for the sl(r) case. %B Math. Phys. Anal. Geom. 9 (2006), n. 3, 233-262 (2007) %G en_US %U http://hdl.handle.net/1963/2538 %1 1581 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-12-19T11:26:08Z\\nNo. of bitstreams: 1\\n0402026v1.pdf: 312976 bytes, checksum: e99c241d72908de5b5bf69b0a7dd1c5c (MD5) %R 10.1007/s11040-006-9012-1 %0 Report %D 2005 %T Gel\\\'fand-Zakharevich Systems and Algebraic Integrability: the Volterra Lattice Revisited %A Gregorio Falqui %A Marco Pedroni %X In this paper we will discuss some features of the bi-Hamiltonian method for solving the Hamilton-Jacobi (H-J) equations by Separation of Variables, and make contact with the theory of Algebraic Complete Integrability and, specifically, with the Veselov-Novikov notion of algebro-geometric (AG) Poisson brackets. %B Regul. Chaotic Dyn. 10 (2005) 399-412 %G en_US %U http://hdl.handle.net/1963/1689 %1 2444 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2005-06-20T13:56:39Z\\nNo. of bitstreams: 1\\nnlin.SI0505018.pdf: 230177 bytes, checksum: 9f91c8fd8d698b1a0a0ad018661f1d34 (MD5) %R 10.1070/RD2005v010n04ABEH000322 %0 Journal Article %J Differential Geom. Appl. 21 (2004) 349-360 %D 2004 %T A geometric approach to the separability of the Neumann-Rosochatius system %A Claudio Bartocci %A Gregorio Falqui %A Marco Pedroni %X We study the separability of the Neumann-Rosochatius system on the n-dimensional sphere using the geometry of bi-Hamiltonian manifolds. Its well-known separation variables are recovered by means of a separability condition relating the Hamiltonian with a suitable (1,1) tensor field on the sphere. This also allows us to iteratively construct the integrals of motion of the system. %B Differential Geom. Appl. 21 (2004) 349-360 %G en_US %U http://hdl.handle.net/1963/2541 %1 1578 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-12-21T11:58:45Z\\nNo. of bitstreams: 1\\n0307021v1.pdf: 200686 bytes, checksum: 8df72df9ec62154c01c13bf79577d97c (MD5) %R 10.1016/j.difgeo.2004.07.001 %0 Journal Article %J J. Phys. A: Math. Gen. 36 (2003) 11655-11676 %D 2003 %T Gaudin models and bending flows: a geometrical point of view %A Gregorio Falqui %A Fabio Musso %X In this paper we discuss the bihamiltonian formulation of the (rational XXX) Gaudin models of spin-spin interaction, generalized to the case of sl(r)-valued spins. In particular, we focus on the homogeneous models. We find a pencil of Poisson brackets that recursively define a complete set of integrals of the motion, alternative to the set of integrals associated with the \\\'standard\\\' Lax representation of the Gaudin model. These integrals, in the case of su(2), coincide wih the Hamiltonians of the \\\'bending flows\\\' in the moduli space of polygons in Euclidean space introduced by Kapovich and Millson. We finally address the problem of separability of these flows and explicitly find separation coordinates and separation relations for the r=2 case. %B J. Phys. A: Math. Gen. 36 (2003) 11655-11676 %I IOP Publishing %G en_US %U http://hdl.handle.net/1963/2884 %1 1816 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-09-10T09:56:34Z\\nNo. of bitstreams: 1\\n0306005v1.pdf: 262369 bytes, checksum: 4563b661b4ec9bfabee142962f7d9279 (MD5) %R 10.1088/0305-4470/36/46/009 %0 Report %D 2003 %T Poisson Pencils, Integrability, and Separation of Variables %A Gregorio Falqui %X In this paper we will review a recently introduced method for solving the Hamilton-Jacobi equations by the method of Separation of Variables. This method is based on the notion of pencil of Poisson brackets and on the bihamiltonian approach to integrable systems. We will discuss how separability conditions can be intrinsically characterized within such a geometrical set-up, the definition of the separation coordinates being encompassed in the \\\\bih structure itself. We finally discuss these constructions studying in details a particular example, based on a generalization of the classical Toda Lattice. %I SISSA %G en_US %U http://hdl.handle.net/1963/3026 %1 1307 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-03T10:35:07Z\\nNo. of bitstreams: 1\\n0310028v1.pdf: 286444 bytes, checksum: 378cfd7f1bcff70ec2b0c4c4cbec48d6 (MD5) %0 Journal Article %J Math. Phys. Anal. Geom. 6 (2003) 139-179 %D 2003 %T Separation of variables for Bi-Hamiltonian systems %A Gregorio Falqui %A Marco Pedroni %X We address the problem of the separation of variables for the Hamilton-Jacobi equation within the theoretical scheme of bi-Hamiltonian geometry. We use the properties of a special class of bi-Hamiltonian manifolds, called omega-N manifolds, to give intrisic tests of separability (and Staeckel separability) for Hamiltonian systems. The separation variables are naturally associated with the geometrical structures of the omega-N manifold itself. We apply these results to bi-Hamiltonian systems of the Gel\\\'fand-Zakharevich type and we give explicit procedures to find the separated coordinates and the separation relations. %B Math. Phys. Anal. Geom. 6 (2003) 139-179 %I SISSA Library %G en %U http://hdl.handle.net/1963/1598 %1 2520 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T13:05:06Z (GMT). No. of bitstreams: 1\\nnlin.SI0204029.pdf: 376655 bytes, checksum: 1bea838d34e847ea2d6e7ec8731cdb22 (MD5)\\n Previous issue date: 2002 %R 10.1023/A:1024080315471 %0 Journal Article %J Rep.Math.Phys.50 (2002), no.3, 395 %D 2002 %T On a Poisson reduction for Gel\\\'fand-Zakharevich manifolds %A Gregorio Falqui %A Marco Pedroni %B Rep.Math.Phys.50 (2002), no.3, 395 %I SISSA Library %G en %U http://hdl.handle.net/1963/1602 %1 2516 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T13:05:09Z (GMT). No. of bitstreams: 1\\nnlin.SI0204050.pdf: 144980 bytes, checksum: 24bb3c4d73d49fe72ed04ea343479ba1 (MD5)\\n Previous issue date: 2002 %R 10.1016/S0034-4877(02)80068-4 %0 Journal Article %J J. Nonlinear Math. Phys. 8 (2001), suppl., 118-127 %D 2001 %T Bihamiltonian geometry and separation of variables for Toda lattices %A Gregorio Falqui %A Franco Magri %A Marco Pedroni %B J. Nonlinear Math. Phys. 8 (2001), suppl., 118-127 %I SISSA Library %G en %U http://hdl.handle.net/1963/1354 %1 3101 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:56:43Z (GMT). No. of bitstreams: 1\\nnlin.SI0002008.pdf: 155961 bytes, checksum: e7c353d5acb3a321990b4309478303f5 (MD5)\\n Previous issue date: 1999 %0 Journal Article %J J. Phys. A 34 (2001) 2077-2085 %D 2001 %T Lax representation and Poisson geometry of the Kowalevski top %A Gregorio Falqui %X We discuss the Poisson structure underlying the two-field Kowalevski gyrostat and the Kowalevski top. We start from their Lax structure and construct a suitable pencil of Poisson brackets which endows these systems with the structure of bi-Hamiltonian completely integrable systems. We study the Casimir functions of such pencils, and show how it is possible to frame the Kowalevski systems within the so-called Gel\\\'fand-Zakharevich bi-Hamiltonian setting for integrable systems. %B J. Phys. A 34 (2001) 2077-2085 %I IOP Publishing %G en_US %U http://hdl.handle.net/1963/3244 %1 1457 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-11-05T09:26:47Z\\nNo. of bitstreams: 1\\nLaxrepresentation.pdf: 214031 bytes, checksum: e7ebdee1c74f45ce326005194acedae9 (MD5) %R 10.1088/0305-4470/34/11/301 %0 Journal Article %J J. Geom. Phys. 37 (2001), no. 1-2, 169-181 %D 2001 %T A note on the super Krichever map %A Gregorio Falqui %A Cesare Reina %A Alessandro Zampa %X We consider the geometrical aspects of the Krichever map in the context of Jacobian Super KP hierarchy. We use the representation of the hierarchy based\\non the Fa`a di Bruno recursion relations, considered as the cocycle condition for the natural double complex associated with the deformations of super Krichever data. Our approach is based on the construction of the universal super divisor (of degree g), and a local universal family of geometric data which give the map into the Super Grassmannian. %B J. Geom. Phys. 37 (2001), no. 1-2, 169-181 %I SISSA Library %G en %U http://hdl.handle.net/1963/1494 %1 2669 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T13:03:11Z (GMT). No. of bitstreams: 1\\nnlin.SI0005062.pdf: 195729 bytes, checksum: daafbab4268655b8f1445ff39762b659 (MD5)\\n Previous issue date: 2000 %R 10.1016/S0393-0440(00)00037-1 %0 Journal Article %J Regul. Chaotic Dyn. 5 (2000), no. 1, 33-52 %D 2000 %T A bi-Hamiltonian theory for stationary KDV flows and their separability %A Gregorio Falqui %A Franco Magri %A Marco Pedroni %A Jorge P. Zubelli %B Regul. Chaotic Dyn. 5 (2000), no. 1, 33-52 %I SISSA Library %G en %U http://hdl.handle.net/1963/1352 %1 3103 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:56:41Z (GMT). No. of bitstreams: 1\\nnlin.SI0003020.pdf: 265442 bytes, checksum: c0f6aef68fae9d648381ca82b919ce81 (MD5)\\n Previous issue date: 1999 %R 10.1070/rd2000v005n01ABEH000122 %0 Journal Article %J Theor. Math. Phys. 122 (2000) 17-28 %D 2000 %T An elementary approach to the polynomial $\\\\tau$-functions of the KP Hierarchy %A Gregorio Falqui %A Franco Magri %A Marco Pedroni %A Jorge P. Zubelli %X We give an elementary construction of the solutions of the KP hierarchy associated with polynomial τ-functions starting with a geometric approach to soliton equations based on the concept of a bi-Hamiltonian system. As a consequence, we establish a Wronskian formula for the polynomial τ-functions of the KP hierarchy. This formula, known in the literature, is obtained very directly. %B Theor. Math. Phys. 122 (2000) 17-28 %I Springer %G en_US %U http://hdl.handle.net/1963/3223 %1 1078 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-31T11:53:05Z\\nNo. of bitstreams: 1\\npolynomial.pdf: 207747 bytes, checksum: 1df27acfb336a4df11658f6c011546da (MD5) %R 10.1007/BF02551166 %0 Journal Article %J Theor. Math. Phys. 122 (2000) 176-192 %D 2000 %T Reduction of bi-Hamiltonian systems and separation of variables: an example from the Boussinesq hierarchy %A Gregorio Falqui %A Franco Magri %A G. Tondo %X We discuss the Boussinesq system with $t_5$ stationary, within a general framework for the analysis of stationary flows of n-Gel\\\'fand-Dickey hierarchies. We show how a careful use of its bihamiltonian structure can be used to provide a set of separation coordinates for the corresponding Hamilton--Jacobi equations. %B Theor. Math. Phys. 122 (2000) 176-192 %I Springer %G en_US %U http://hdl.handle.net/1963/3219 %1 1082 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-30T17:15:49Z\\nNo. of bitstreams: 1\\n9906009v1.pdf: 207707 bytes, checksum: 488733797e10a7277aa5f36438c6b2d8 (MD5) %R 10.1007/BF02551195 %0 Journal Article %J J. Geom. Phys. 35 (2000), no. 2-3, 239-272 %D 2000 %T Super KP equations and Darboux transformations: another perspective on the Jacobian super KP hierarchy %A Gregorio Falqui %A Cesare Reina %A Alessandro Zampa %B J. Geom. Phys. 35 (2000), no. 2-3, 239-272 %I SISSA Library %G en %U http://hdl.handle.net/1963/1367 %1 3088 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:56:54Z (GMT). No. of bitstreams: 1\\nnlin.SI0001052.pdf: 330928 bytes, checksum: 88bf53e992f53f4e977dd5329347c85a (MD5)\\n Previous issue date: 1999 %R 10.1016/S0393-0440(00)00007-3 %0 Book Section %B Proceedings of the workshop on nonlinearity, integrability and all that : twenty years after NEEDS \\\'79, Lecce, Italy, July 1 - 10, 1999 / ed. by M. Boiti. - Singapore : World Scientific, 2000. - p. 258-266 %D 1999 %T A bihamiltonian approach to separation of variables in mechanics %A Gregorio Falqui %A Franco Magri %A Marco Pedroni %X This paper is a report on a recent approach to the theory of separability of the Hamilton-Jacobi equations from the viewpoint of bihamiltonian geometry. %B Proceedings of the workshop on nonlinearity, integrability and all that : twenty years after NEEDS \\\'79, Lecce, Italy, July 1 - 10, 1999 / ed. by M. Boiti. - Singapore : World Scientific, 2000. - p. 258-266 %I World Scientific %G en_US %U http://hdl.handle.net/1963/3222 %1 1079 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-31T10:54:51Z\\nNo. of bitstreams: 1\\n0204029v1.pdf: 382691 bytes, checksum: da8b9073eaf52cc17fa15ec8abaa1ebc (MD5) %0 Book Section %B Direct and inverse methods in nonlinear evolution equations : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 5-12, 1999 / Robert Conte ... ; Antonio M. Greco ed. - Berlin : Springer, 2003. - (Lecture Notes in Physics ; 632) %D 1999 %T The method of Poisson pairs in the theory of nonlinear PDEs %A Gregorio Falqui %A Franco Magri %A Marco Pedroni %X The aim of these lectures is to show that the methods of classical Hamiltonian mechanics can be profitably used to solve certain classes of nonlinear partial differential equations. The prototype of these equations is the well-known Korteweg-de Vries (KdV) equation.\\nIn these lectures we touch the following subjects:\\ni) the birth and the role of the method of Poisson pairs inside the theory of the KdV equation;\\nii) the theoretical basis of the method of Poisson pairs;\\niii) the Gel\\\'fand-Zakharevich theory of integrable systems on bi-Hamiltonian manifolds;\\niv) the Hamiltonian interpretation of the Sato picture of the KdV flows and of its linearization on an infinite-dimensional Grassmannian manifold.\\nv) the reduction technique(s) and its use to construct classes of solutions;\\nvi) the role of the technique of separation of variables in the study of the reduced systems;\\nvii) some relations intertwining the method of Poisson pairs with the method of Lax pairs. %B Direct and inverse methods in nonlinear evolution equations : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 5-12, 1999 / Robert Conte ... ; Antonio M. Greco ed. - Berlin : Springer, 2003. - (Lecture Notes in Physics ; 632) %I Springer %G en %U http://hdl.handle.net/1963/1350 %1 3105 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:56:39Z (GMT). No. of bitstreams: 1\\nnlin.SI0002009.pdf: 401400 bytes, checksum: dbf2efdfc64296bb0905ee82454c25c8 (MD5)\\n Previous issue date: 1999 %R 10.1007/b13714 %0 Journal Article %D 1999 %T A note on fractional KDV hierarchies. II. The bihamiltonian approach %A Paolo Casati %A Gregorio Falqui %A Marco Pedroni %I SISSA Library %G en %U http://hdl.handle.net/1963/1220 %1 2723 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:54:55Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1999 %0 Journal Article %J Lett. Math. Phys. 42 (1997) 349-361 %D 1997 %T Krichever maps, Faà di Bruno polynomials, and cohomology in KP theory %A Gregorio Falqui %A Cesare Reina %A Alessandro Zampa %X We study the geometrical meaning of the Faa\\\' di Bruno polynomials in the context of KP theory. They provide a basis in a subspace W of the universal Grassmannian associated to the KP hierarchy. When W comes from geometrical data via the Krichever map, the Faa\\\' di Bruno recursion relation turns out to be the cocycle condition for (the Welters hypercohomology group describing) the deformations of the dynamical line bundle on the spectral curve together with the meromorphic sections which give rise to the Krichever map. Starting from this, one sees that the whole KP hierarchy has a similar cohomological meaning. %B Lett. Math. Phys. 42 (1997) 349-361 %I Springer %G en_US %U http://hdl.handle.net/1963/3539 %1 1162 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2009-02-23T17:16:39Z\\nNo. of bitstreams: 1\\n9704010v1.pdf: 180279 bytes, checksum: c51b95b568001428607e6092a798cce5 (MD5) %R 10.1023/A:1007323118991 %0 Thesis %D 1990 %T Moduli Spaces and Geometrical Aspects of Two-Dimensional Conformal Field Theories %A Gregorio Falqui %K Algebraic curves %I SISSA %G en %U http://hdl.handle.net/1963/5552 %1 5395 %2 Mathematics %3 Mathematical Physics %4 -1 %$ Submitted by Stefania Cantagalli (cantagal@sissa.it) on 2012-03-07T07:24:03Z\\nNo. of bitstreams: 1\\nPhD_Falqui_Gregorio.pdf: 10396471 bytes, checksum: e0bcfb637aa137333a82fdbb5b0f2133 (MD5) %0 Journal Article %J J. Math. Phys. 31 (1990), no.4, 948-952 %D 1990 %T N=2 super Riemann surfaces and algebraic geometry %A Cesare Reina %A Gregorio Falqui %X The geometric framework for N=2 superconformal field theories are described by studying susy2 curves-a nickname for N=2 super Riemann surfaces. It is proved that \\\"single\\\'\\\' susy2 curves are actually split supermanifolds, and their local model is a Serre self-dual locally free sheaf of rank two over a smooth algebraic curve. Superconformal structures on these sheaves are then examined by setting up deformation theory as a first step in studying moduli problems. %B J. Math. Phys. 31 (1990), no.4, 948-952 %I American Institute of Physics %G en %U http://hdl.handle.net/1963/807 %1 2984 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:38:12Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1989 %R 10.1063/1.528775 %0 Journal Article %J Comm.Math.Phys. 31 (1990), no.4, 948 %D 1990 %T A note on the global structure of supermoduli spaces %A Cesare Reina %A Gregorio Falqui %B Comm.Math.Phys. 31 (1990), no.4, 948 %I SISSA Library %G en %U http://hdl.handle.net/1963/806 %1 2985 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:38:11Z (GMT). No. of bitstreams: 1\\n46_89.pdf: 522357 bytes, checksum: 18f63d98e1ce1e711e039894ded5ae7c (MD5)\\n Previous issue date: 1989 %0 Journal Article %D 1988 %T Susy-curves and supermoduli %A Gregorio Falqui %A Cesare Reina %I SISSA Library %G en %U http://hdl.handle.net/1963/761 %1 3030 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:37:15Z (GMT). No. of bitstreams: 1\\n169_88.pdf: 663959 bytes, checksum: 670b0ce089758e0cc68a21d0d2430c0c (MD5)\\n Previous issue date: 1988