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Elimination of divergence of various types — A general scheme

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Literature Cited

  1. D. Ya. Petrina and A. L. Rebenko, “A projective-iterative method for solving the equations of quantum field theory and its relationship to renormalization theory. The equations of quantum field theory and ill-posed problems of mathematical physics,” Teor. Mat. Fiz.,42, No. 2, 167–183 (1980).

    Google Scholar 

  2. V. K. Ivanov, “Weakly well-posed problems and generalized functions,” Sib. Mat. Zh.,28, No. 6, 53–59 (1987).

    Google Scholar 

  3. V. K. Ivanov, “Ill-posed problems and divergent processes,” Usp. Mat. Nauk,40, No. 4, 165–166 (1985).

    Google Scholar 

  4. V. K. Ivanov and I. V. Mel'nikova, “Regularization of divergent integrals and ill-posed problems,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 4, 44–49 (1986).

    Google Scholar 

  5. V. K. Ivanov, V. V. Vasin, and V. P. Tanana, Theory of Linear Ill-Posed Problems and Its Applications [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  6. A. N. Tikhonov and V. Ya. Arsenin, Methods for Solution of Ill-Posed Problems [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  7. V. P. Maslov, “The existence of a solution to an ill-posed problem is equvalent to convergence of a regularized process,” Usp. Mat. Nauk,23, No. 3, 183–184 (1968).

    Google Scholar 

  8. E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, 4th ed., Cambridge Univ. Press (1927).

  9. I. M. Gel'fand and G. E. Shilov, Generalized Functions and Operations with Them [in Russian], Vol. 1, GIFML, Moscow (1959).

    Google Scholar 

  10. H. J. Bremermann, Distributions, Complex Variables and Fourier Transforms, Addison-Wesley, New York (1965).

    Google Scholar 

  11. N. N. Bogolyubov and D. V. Shirkov, Introduction to Quantum Field Theory [in Russian], Nauka, Moscow (1973).

    Google Scholar 

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Sverdlovsk. Translated from Sibirskii Matematicheskii Zhurnal, Vo. 29, No. 6, pp. 66–73, November–December, 1988.

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Ivanov, V.K., Mel'nikova, I.V. Elimination of divergence of various types — A general scheme. Sib Math J 29, 925–931 (1988). https://doi.org/10.1007/BF00972417

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  • DOI: https://doi.org/10.1007/BF00972417

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