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Volumn 83, Issue 7, 2004, Pages 727-733

Approximate real inversion formulas of the gaussian convolution

Author keywords

30C40; 35K05; Approximate inverse; Approximation of functions; Gaussian convolution; Generalized inverse; Mathematics Subject Classifications (2000): Primary 44A15; Reproducing kernel; Sobolev space; Tikhonov regularization; Weierstrass transform

Indexed keywords


EID: 31344451521     PISSN: 15226514     EISSN: 15497879     Source Type: Journal    
DOI: 10.1080/00036810410001657198     Document Type: Article
Times cited : (57)

References (12)
  • 1
    • 26444588238 scopus 로고    scopus 로고
    • A real inversion formula for the Laplace transform in a Sobolev Space
    • Amano, K, Saitoh, S, and Syarif, A. 1999. A real inversion formula for the Laplace transform in a Sobolev Space. Z. Anal. Anw., 18: 1031–1038.
    • (1999) Z. Anal. Anw. , vol.18 , pp. 1031-1038
    • Amano, K.1    Saitoh, S.2    Syarif, A.3
  • 2
  • 3
    • 0346652767 scopus 로고
    • A real inversion formula for the Laplace transform
    • Byun, D-W, and Saitoh, S. 1993. A real inversion formula for the Laplace transform. Z. Anal. Anw., 12: 597–603.
    • (1993) Z. Anal. Anw. , vol.12 , pp. 597-603
    • Byun, D.-W.1    Saitoh, S.2
  • 4
    • 34547168296 scopus 로고
    • Best approximation in reproducing kernel Hilbert spaces
    • Byun D-W, Saitoh S, 1994 Best approximation in reproducing kernel Hilbert spaces Proc. of the 2nd International Colloquium on Numerical Analysis pp. 55–61 VSP-Holland
    • (1994) VSP-Holland , pp. 55-61
    • Byun, D.-W.1    Saitoh, S.2
  • 6
    • 0142125675 scopus 로고    scopus 로고
    • Regularized inversion of integral transformations of Mellin convolution type
    • Kryzhniy, VV. 2003. Regularized inversion of integral transformations of Mellin convolution type. Inverse Problems, 19: 573–583.
    • (2003) Inverse Problems , vol.19 , pp. 573-583
    • Kryzhniy, V.V.1
  • 7
    • 0345759798 scopus 로고
    • The Weierstrass transform and an isometry in the heat equation
    • Saitoh, S. 1983. The Weierstrass transform and an isometry in the heat equation. Applicable Analysis, 16: 1–6.
    • (1983) Applicable Analysis , vol.16 , pp. 1-6
    • Saitoh, S.1
  • 8
    • 85064797911 scopus 로고    scopus 로고
    • Pitman Res. Notes Math. Series 369, UK
    • Saitoh S, 1997 Integral Transforms, Reproducing Kernels and their Applications Pitman Res. Notes in Math. Series 369 Addison Wesley Longman Ltd UK
    • (1997) Addison Wesley Longman Ltd
    • Saitoh, S.1
  • 10
    • 26444539032 scopus 로고    scopus 로고
    • Conditional stability of a real inverse formula for the Laplace transform
    • Saitoh, S, Tuan, Vu Kim, and Yamamoto, M. 2001. Conditional stability of a real inverse formula for the Laplace transform. Z. Anal. Anw., 20: 193–202.
    • (2001) Z. Anal. Anw. , vol.20 , pp. 193-202
    • Saitoh, S.1    Tuan, V.K.2    Yamamoto, M.3
  • 12
    • 85064801439 scopus 로고    scopus 로고
    • The inverse problem of a Gaussian convolution and its application to the finite size of measurement chambers/detectors in photon and proton dosimetry
    • to appear
    • Ulmer W, Kaissl W, The inverse problem of a Gaussian convolution and its application to the finite size of measurement chambers/detectors in photon and proton dosimetry Inverse Problems (to appear)
    • Inverse Problems
    • Ulmer, W.1    Kaissl, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.