메뉴 건너뛰기




Volumn 10, Issue SO7, 2007, Pages 25-37

Functions and distributions in spaces with thick points

Author keywords

Dirac delta; Distributions; Test functions; Thick points

Indexed keywords

ABSTRACT CONCEPT; ASYMPTOTIC SERIES; DIRAC DELTA; DISTRIBUTIONS; DOMAIN OF INTEGRATION; INTERNAL STRUCTURE; TEST FUNCTIONS; THICK POINTS;

EID: 84858852037     PISSN: 09731377     EISSN: 09737545     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (17)

References (17)
  • 1
    • 0034345704 scopus 로고    scopus 로고
    • Hadamard regularization
    • Blanchet, L. and Faye, G. 2000. Hadamard regularization, J. Math. Phys. 41: 7675-7714.
    • (2000) J. Math. Phys. , vol.41 , pp. 7675-7714
    • Blanchet, L.1    Faye, G.2
  • 2
    • 0042229232 scopus 로고    scopus 로고
    • Delta functions in spherical coordinates and how to avoid losing them: Fields of point charges and dipoles
    • Blinder, S.M. 2003. Delta functions in spherical coordinates and how to avoid losing them: Fields of point charges and dipoles, Amer. J. Phys. 71: 816-818.
    • (2003) Amer. J. Phys. , vol.71 , pp. 816-818
    • Blinder, S.M.1
  • 3
    • 14544298281 scopus 로고    scopus 로고
    • The Dirichlet-to-Robin transform
    • Bondurant, J.D. and Fulling, S.A. 2005. The Dirichlet-to-Robin transform, J. Phys. A 8: 1505-1532.
    • (2005) J. Phys. A , vol.8 , pp. 1505-1532
    • Bondurant, J.D.1    Fulling, S.A.2
  • 4
    • 24844474457 scopus 로고
    • Asymptotic expansions of Fourier integrals involving logarithmic singularities
    • Erdélyi, A. 1956. Asymptotic expansions of Fourier integrals involving logarithmic singularities, SIAM J. 4: 38-47.
    • (1956) SIAM J. , vol.4 , pp. 38-47
    • Erdélyi, A.1
  • 5
    • 33746662883 scopus 로고    scopus 로고
    • The Cesàro behaviour of distributions
    • Estrada, R. 1998. The Cesàro behaviour of distributions, Proc. Roy. Soc. London Ser. A 454: 2425-2443.
    • (1998) Proc. Roy. Soc. London Ser. A , vol.454 , pp. 2425-2443
    • Estrada, R.1
  • 6
    • 0042970153 scopus 로고    scopus 로고
    • How singular functions define distributions
    • Estrada, R. and Fulling, S.A. 2002. How singular functions define distributions, J. Phys. A 35: 3079-3089.
    • (2002) J. Phys. A , vol.35 , pp. 3079-3089
    • Estrada, R.1    Fulling, S.A.2
  • 8
    • 77949955216 scopus 로고    scopus 로고
    • A Distributional Approach to Asymptotics
    • second edition, Birkhäuser, Boston
    • Estrada, R. and Kanwal, R.P. 2002. A Distributional Approach to Asymptotics. Theory and Applications, second edition, Birkhäuser, Boston.
    • (2002) Theory and Applications
    • Estrada, R.1    Kanwal, R.P.2
  • 12
    • 0040796947 scopus 로고
    • Euler and infinite series
    • Kline, M. 1983. Euler and infinite series, Math. Magaz. 56: 307-314.
    • (1983) Math. Magaz. , vol.56 , pp. 307-314
    • Kline, M.1
  • 13
    • 34250019032 scopus 로고
    • Euler's vision of a general partial differential calculus for a generalized kind of function
    • Lützen, J. 1983. Euler's vision of a general partial differential calculus for a generalized kind of function, Math. Magaz. 56: 299-306.
    • (1983) Math. Magaz. , vol.56 , pp. 299-306
    • Lützen, J.1
  • 14
    • 85008035264 scopus 로고    scopus 로고
    • Comments on "Transient analysis of energy equation of dynamical systems"
    • Paskusz, G.F. 2000. Comments on "Transient analysis of energy equation of dynamical systems", IEEE Trans. Edu. 43: 242.
    • (2000) IEEE Trans. Edu , vol.43 , pp. 242
    • Paskusz, G.F.1
  • 15
    • 0000830579 scopus 로고
    • Hadamard's finite part concept in dimensions n ≥ 2. Distributional definition. Regularization forms and distributional derivatives
    • Sellier, A. 1994. Hadamard's finite part concept in dimensions n ≥ 2. Distributional definition. Regularization forms and distributional derivatives, Proc. Roy. Soc. London A 445: 69-98.
    • (1994) Proc. Roy. Soc. London A , vol.445 , pp. 69-98
    • Sellier, A.1
  • 16
    • 0033365180 scopus 로고    scopus 로고
    • Transient analysis of energy equation of dynamical systems
    • Vibet, C. 1999. Transient analysis of energy equation of dynamical systems, IEEE Trans. Edu. 42: 217-219.
    • (1999) IEEE Trans. Edu. , vol.42 , pp. 217-219
    • Vibet, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.