메뉴 건너뛰기




Volumn 28, Issue 4, 1997, Pages 903-923

The general analytic solution of a functional equation of addition type

Author keywords

Calogero Moser; Functional equation; Special functions

Indexed keywords


EID: 0031517171     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141095291385     Document Type: Article
Times cited : (26)

References (23)
  • 1
    • 84911743709 scopus 로고
    • Rational and elliptic solutions of the KdV equation and related many-body problems
    • H. AIRAULT, H. MCKEAN, AND J. MOSER, Rational and elliptic solutions of the KdV equation and related many-body problems, Comm. Pure Appl. Math., 30 (1977), pp. 95-125.
    • (1977) Comm. Pure Appl. Math. , vol.30 , pp. 95-125
    • Airault, H.1    McKean, H.2    Moser, J.3
  • 2
    • 85008958030 scopus 로고    scopus 로고
    • Integrable systems with pairwise interactions and functional equations
    • to appear
    • H. W. BRADEN AND V. M. BUCHSTABER, Integrable systems with pairwise interactions and functional equations, Rev. Math. and Math. Phys., to appear.
    • Rev. Math. and Math. Phys.
    • Braden, H.W.1    Buchstaber, V.M.2
  • 3
    • 0001574684 scopus 로고
    • The Lax representation for an integrable class of relativistic dynamical systems
    • M. BRUSCHI AND F. CALOGERO, The Lax representation for an integrable class of relativistic dynamical systems, Comm. Math. Phys., 109 (1987), pp. 481-492.
    • (1987) Comm. Math. Phys. , vol.109 , pp. 481-492
    • Bruschi, M.1    Calogero, F.2
  • 4
    • 0000760778 scopus 로고
    • General analytic solution of certain functional equations of addition type
    • M. BRUSCHI AND F. CALOGERO, General analytic solution of certain functional equations of addition type, SIAM J. Math. Anal., 21 (1990), pp. 1019-1030.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1019-1030
    • Bruschi, M.1    Calogero, F.2
  • 5
    • 0043201646 scopus 로고
    • Functional equations which are associated with addition theorems for elliptic function and two valued algebraic groups
    • V. M. BUCHSTABER, Functional equations which are associated with addition theorems for elliptic function and two valued algebraic groups, Uspekhi Mat. Nauk, 45 (1990), pp. 185-186.
    • (1990) Uspekhi Mat. Nauk , vol.45 , pp. 185-186
    • Buchstaber, V.M.1
  • 6
    • 85033112842 scopus 로고
    • Unpublished report, Max-Planck-Institut, Bonn, Germany
    • V. M. BUCHSTABER, Unpublished report, Max-Planck-Institut, Bonn, Germany, 1992.
    • (1992)
    • Buchstaber, V.M.1
  • 7
    • 0000391973 scopus 로고
    • Elliptic Dunkl operators, root systems, and functional equations
    • V. M. BUCHSTABER, G. FELDER, AND A. P. VESELOV, Elliptic Dunkl operators, root systems, and functional equations, Duke Math. J., 76 (1994), pp. 885-911.
    • (1994) Duke Math. J. , vol.76 , pp. 885-911
    • Buchstaber, V.M.1    Felder, G.2    Veselov, A.P.3
  • 8
    • 0039016755 scopus 로고
    • Formal groups, functional equations and generalised cohomology theories
    • V. M. BUCHSTABER AND A. N. KHODOV, Formal groups, functional equations and generalised cohomology theories, Mat. Sb., 181 (1990), pp. 75-94.
    • (1990) Mat. Sb. , vol.181 , pp. 75-94
    • Buchstaber, V.M.1    Khodov, A.N.2
  • 9
    • 0008940210 scopus 로고    scopus 로고
    • On the functional equation related to the quantum three-body problem
    • V. M. BUCHSTABER AND A. M. PERELOMOV, On the functional equation related to the quantum three-body problem, Contemporary Math. Physics, 175 (1996), pp. 15-34.
    • (1996) Contemporary Math. Physics , vol.175 , pp. 15-34
    • Buchstaber, V.M.1    Perelomov, A.M.2
  • 10
    • 0141827454 scopus 로고
    • Vector addition theorems and Baker-Akhiezer functions
    • V. M. BUCHSTABER AND I. M. KRICHEVER, Vector addition theorems and Baker-Akhiezer functions, Tear. Mat. Fiz., 94 (1993), pp. 200-212.
    • (1993) Tear. Mat. Fiz. , vol.94 , pp. 200-212
    • Buchstaber, V.M.1    Krichever, I.M.2
  • 11
    • 51249187548 scopus 로고
    • Exactly solvable one-dimensional 'many-body problems
    • F. CALOGERO, Exactly solvable one-dimensional 'many-body problems, Lett. Nuovo Cimento (2), 13 (1975), pp. 411-416.
    • (1975) Lett. Nuovo Cimento (2) , vol.13 , pp. 411-416
    • Calogero, F.1
  • 12
    • 51249187965 scopus 로고
    • On a functional equation connected with integrable many-body problems
    • F. CALOGERO, On a functional equation connected with integrable many-body problems, Lett. Nuovo Cimento, 16 (1976), pp. 77-80.
    • (1976) Lett. Nuovo Cimento , vol.16 , pp. 77-80
    • Calogero, F.1
  • 13
    • 51249189697 scopus 로고
    • One-dimensional many-body problems with pair interactions whose ground-state wavefunction is of product type
    • F. CALOGERO, One-dimensional many-body problems with pair interactions whose ground-state wavefunction is of product type, Lett. Nuovo Cimento, 13 (1975), pp. 507-511.
    • (1975) Lett. Nuovo Cimento , vol.13 , pp. 507-511
    • Calogero, F.1
  • 14
    • 0002257741 scopus 로고
    • ADE functional dilogarithm identities and integrable models
    • F. GLIOZZI AND R. TATEO, ADE functional dilogarithm identities and integrable models, Phys. Lett., B348 (1995), pp. 84-88.
    • (1995) Phys. Lett. , vol.B348 , pp. 84-88
    • Gliozzi, F.1    Tateo, R.2
  • 16
    • 0000254971 scopus 로고
    • Elliptic, solutions of Kadomtsev-Petviashvili equation and integrable particle systems
    • I. M. KRICHEVER, Elliptic, solutions of Kadomtsev-Petviashvili equation and integrable particle systems, Funktsional. Anal. Prilozhen., 14 (1980), pp. 45-54.
    • (1980) Funktsional. Anal. Prilozhen. , vol.14 , pp. 45-54
    • Krichever, I.M.1
  • 17
    • 0001725903 scopus 로고
    • Generalized elliptic genera and Baker-Akhiezer functions
    • I. M. KRICHEVER, Generalized elliptic genera and Baker-Akhiezer functions, Mat. Zametki., 47 (1992), p. 132.
    • (1992) Mat. Zametki. , vol.47 , pp. 132
    • Krichever, I.M.1
  • 18
    • 0002587995 scopus 로고
    • Completely integrable Hamiltonian systems connected with semisimple Lie algebras
    • M. A. OLSHANETSKY AND A. M. PERELOMOV, Completely integrable Hamiltonian systems connected with semisimple Lie algebras, Invent. Math., 37 (1976), pp. 93-108.
    • (1976) Invent. Math. , vol.37 , pp. 93-108
    • Olshanetsky, M.A.1    Perelomov, A.M.2
  • 19
    • 84957176493 scopus 로고
    • On the solution of one functional-differential equation
    • in Russian
    • S. PYDKUYKO AND A. STEPIN, On the solution of one functional-differential equation, Funktsional. Anal. Prilozhen., 10 (1976), pp. 84-85 (in Russian).
    • (1976) Funktsional. Anal. Prilozhen. , vol.10 , pp. 84-85
    • Pydkuyko, S.1    Stepin, A.2
  • 20
    • 14944363471 scopus 로고
    • A new class of integrable systems and its relation to solitons
    • NY
    • S. N. M. RUIJSENAARS AND H. SCHNEIDER, A new class of integrable systems and its relation to solitons, Ann. Phys. (NY), 170 (1986), pp. 370-405.
    • (1986) Ann. Phys. , vol.170 , pp. 370-405
    • Ruijsenaars, S.N.M.1    Schneider, H.2
  • 21
    • 3543099119 scopus 로고
    • Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
    • S. N. M. RUIJSENAARS, Complete integrability of relativistic Calogero-Moser systems and elliptic function identities, Comm. Math. Phys., 110 (1987), pp. 191-213.
    • (1987) Comm. Math. Phys. , vol.110 , pp. 191-213
    • Ruijsenaars, S.N.M.1
  • 22
    • 0000710748 scopus 로고
    • Relativistic Toda systems
    • S. N. M. RUIJSENAARS, Relativistic Toda systems, Comm. Math. Phys., 133 (1990), pp. 217-247.
    • (1990) Comm. Math. Phys. , vol.133 , pp. 217-247
    • Ruijsenaars, S.N.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.