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The cauchy integral of many complex variables passive operators and multidimensional dispersion relations

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Abstract

This note illustrates the multidimensional dispersion relations that connect the real and imaginary parts of the matrix\(\bar z\)(p):

where\(\bar z\)(p) is the boundary value of the impedance\(\bar z\)(ζ).

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References

  1. Kramers, H. A.,Inter. Fisici., Com. 2 (1927), 545.

    Google Scholar 

  2. Huang Lie-de, Some applications of operator theory for modern mechanics,Modern Math. and Mech., Ed. by Chien Wei-zang and Guo You-zhong, Science Press (1989), 16–26.

  3. Bogoliubov, N. N. and D. V. Shirkov,Intro. to the Theory of Quantized Fields, 3rd ed., Nauka, Moscow (1976). (in Russian)

    Google Scholar 

  4. Beltrami, E.J. et al.,Distri. and the BV of AFs., Aca. Pre. (1966).

  5. Zhang Zong-sui,Intro. to Dispersion Relations, Sci. Pre. (1983). (in Chinese)

  6. Vladimirov, V. S.,Izv. Akad. Nauk SSSR, Ser. Mat.,33 (1969).

  7. S. Bochner,Ann. of Math.,45 (1944), 687–707.

    Google Scholar 

  8. Vladimirov, V. S.,Contin. Mech. and Rel. Pro. of Ana., Moscow (1972).

  9. Vladimirov, V. S.,Theo. and Math. Phys.,1 (1969), 51–72.

    Article  Google Scholar 

  10. Huang Lie-de, Space Bekya eqs. and ts appls.INCP (1989).,

  11. Huang Lie-de, The nec. cond. for short range soliton solu. of GKdV Eq.,Inter. Conf. on Nonlinear Phys. INCP (1989).

  12. Huang Li-de,Chinese J. Comp. Phys. 4, 4 (1987), 413–425. (in Chinese)

    Google Scholar 

  13. Huang Lie-de,Acta Math. Scientia,8, 2 (1988);10, 2 (1990);10, 4 (1990),

    Google Scholar 

  14. Huang Lie-de,Chinese Space Science and Technology, 1 (1986), 3 (1986); 1,2 & 3 (1987); 4 (1988), 4 (1989). (in Chinese)

    Google Scholar 

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Communicated by Guo You-zhong

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Lie-de, H. The cauchy integral of many complex variables passive operators and multidimensional dispersion relations. Appl Math Mech 12, 687–696 (1991). https://doi.org/10.1007/BF02018950

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  • DOI: https://doi.org/10.1007/BF02018950

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