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Volumn 64, Issue 3, 2003, Pages 203-212

Conformally invariant quantization at order three

Author keywords

clusters; Gaussian kernels; radial basis function networks; width scaling factor

Indexed keywords


EID: 9744255447     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025751120672     Document Type: Article
Times cited : (11)

References (25)
  • 1
    • 0001031543 scopus 로고
    • Calculus for functions of noncommuting operators and general phase space methods in quantum mechanics, I. Mapping theorems and ordering of functions on noncommuting operators
    • Argaval, G. S. and Wolf, E.: Calculus for functions of noncommuting operators and general phase space methods in quantum mechanics, I. Mapping theorems and ordering of functions on noncommuting operators, Phys. Rev. D 2(10) (1970), 2161-2188.
    • (1970) Phys. Rev. D , vol.2 , Issue.10 , pp. 2161-2188
    • Argaval, G.S.1    Wolf, E.2
  • 3
    • 0001707709 scopus 로고
    • Quantization and representation theory
    • Amer. Math. Soc., Providence
    • Blattner, R. J.: Quantization and representation theory, In: Proc. Sympos. Pure Math. 26, Amer. Math. Soc., Providence, 1974, pp. 145-165.
    • (1974) Proc. Sympos. Pure Math. , vol.26 , pp. 145-165
    • Blattner, R.J.1
  • 4
    • 0007378064 scopus 로고    scopus 로고
    • A remark about the algebra of infinitesimal conformal transformations of the Euclidian space
    • Boniver, F. and Lecomte, P.: A remark about the algebra of infinitesimal conformal transformations of the Euclidian space, Bull. London Math. Soc. 32(3) (2000), 263-266.
    • (2000) Bull. London Math. Soc. , vol.32 , Issue.3 , pp. 263-266
    • Boniver, F.1    Lecomte, P.2
  • 7
    • 0000365215 scopus 로고
    • On algebras which are connected with the semisimple continuous groups
    • Brauer, R.: On algebras which are connected with the semisimple continuous groups, Ann. of Math. 38 (1937), 857.
    • (1937) Ann. of Math. , vol.38 , pp. 857
    • Brauer, R.1
  • 9
    • 0031586649 scopus 로고    scopus 로고
    • Space of second order linear differential operators as a module over the lie algebra of vector fields
    • Duval, C. and Ovsienko, V.: Space of second order linear differential operators as a module over the lie algebra of vector fields, Adv. in Math. 132(2) (1997), 316-333.
    • (1997) Adv. in Math. , vol.132 , Issue.2 , pp. 316-333
    • Duval, C.1    Ovsienko, V.2
  • 11
    • 0033264284 scopus 로고    scopus 로고
    • Conformally equivariant quantization: Existence and uniqueness
    • Duval, C., Lecomte, P. B. A. and Ovsienko, V.: Conformally equivariant quantization: Existence and uniqueness, Ann. Inst. Fourier 49(6) (1999), 1999-2029.
    • (1999) Ann. Inst. Fourier , vol.49 , Issue.6 , pp. 1999-2029
    • Duval, C.1    Lecomte, P.B.A.2    Ovsienko, V.3
  • 13
    • 0003003772 scopus 로고    scopus 로고
    • Sur la géométrie des opérateurs différentiels linéaires sur ℝ
    • Gargoubi, H.: Sur la géométrie des opérateurs différentiels linéaires sur ℝ, Bull. Soc. Roy. Sci. Liège. 69(1) (2000), 21-47.
    • (2000) Bull. Soc. Roy. Sci. Liège. , vol.69 , Issue.1 , pp. 21-47
    • Gargoubi, H.1
  • 14
    • 0001579660 scopus 로고    scopus 로고
    • Space of linear differential operators on the real line as module over the lie algebra of vector fields
    • Gargoubi, H. and Ovsienko, V.: Space of linear differential operators on the real line as module over the lie algebra of vector fields. Int. Res. Math. Notes 5 (1996), 235-251.
    • (1996) Int. Res. Math. Notes , vol.5 , pp. 235-251
    • Gargoubi, H.1    Ovsienko, V.2
  • 18
    • 84862479419 scopus 로고    scopus 로고
    • On the cohomologie of sl(m + 1, ℝ) acting on differential operators and sl(m + 1, ℝ)-equivariant symbol
    • Lecomte, P. B. A.: On the cohomologie of sl(m + 1, ℝ) acting on differential operators and sl(m + 1, ℝ)-equivariant symbol, Indag. Math. (NS) 11(1) (2003), 95-114.
    • (2003) Indag. Math. (NS) , vol.11 , Issue.1 , pp. 95-114
    • Lecomte, P.B.A.1
  • 19
    • 0030524407 scopus 로고    scopus 로고
    • Comparison of some modules of the lie algebra of vector fields
    • Lecomte, P. B. A., Mathonet, P. and Tousset, E.: Comparison of some modules of the lie algebra of vector fields, Indag. Math. (NS) 7(4) (1996), 46-471.
    • (1996) Indag. Math. (NS) , vol.7 , Issue.4 , pp. 46-471
    • Lecomte, P.B.A.1    Mathonet, P.2    Tousset, E.3
  • 20
    • 0000202708 scopus 로고    scopus 로고
    • Projectively invariant symbol calculus
    • Lecomte, P. B. A. and Ovsienko, V.: Projectively invariant symbol calculus, Lett. Math. Phys. 49(3) (1999), 173-196.
    • (1999) Lett. Math. Phys. , vol.49 , Issue.3 , pp. 173-196
    • Lecomte, P.B.A.1    Ovsienko, V.2
  • 21
    • 0042202933 scopus 로고    scopus 로고
    • Module of third order differential operators on a conformally flat manifold
    • Loubon Djounga, S. E.: Module of third order differential operators on a Conformally flat manifold, J. Geom. Phys. 37 (2001), 251-261.
    • (2001) J. Geom. Phys. , vol.37 , pp. 251-261
    • Loubon Djounga, S.E.1
  • 22
    • 0001574840 scopus 로고
    • Une caractérisation abstraite des opérateurs différentiels
    • Peetre, J.: Une caractérisation abstraite des opérateurs différentiels, Math. Scand. 7 (1959), 211-218; 8 (1960), 116-120.
    • (1959) Math. Scand. , vol.7 , pp. 211-218
    • Peetre, J.1
  • 23
    • 0001455860 scopus 로고
    • Peetre, J.: Une caractérisation abstraite des opérateurs différentiels, Math. Scand. 7 (1959), 211-218; 8 (1960), 116-120.
    • (1960) Math. Scand. , vol.8 , pp. 116-120


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.