Resultant operators of a pair of analytic functions

Resultant operators of a pair of analytic functions
HTML articles powered by AMS MathViewer

by I. C. Gohberg and L. E. Lerer PDF

Proc. Amer. Math. Soc. 72 (1978), 65-73 Request permission

The well-known results on resultant of polynomials and its continuous analogue is generalized for some classes of analytic functions.

References

I. Ts. Gokhberg and I. A. Fel′dman, Uravneniya v svertkakh i proektsionnye metody ikh resheniya, Izdat. “Nauka”, Moscow, 1971 (Russian). MR 0355674
I. C. Gohberg and G. Haĭnig, The resultant matrix and its generalizations. I. The resultant operator for matrix polynomials, Acta Sci. Math. (Szeged) 37 (1975), 41–61 (Russian). MR 380471
I. C. Gohberg and G. Haĭnig, The resultant matrix and its generalizations. II. The continual analogue of the resultant operator, Acta Math. Acad. Sci. Hungar. 28 (1976), no. 3-4, 189–209 (Russian). MR 425652, DOI 10.1007/BF01896778
I. C. Gohberg and L. E. Lerer, Resultants of matrix polynomials, Bull. Amer. Math. Soc. 82 (1976), no. 4, 565–567. MR 407048, DOI 10.1090/S0002-9904-1976-14103-1
M. G. Kreĭn, Integral equations on the half-line with a kernel depending on the difference of the arguments, Uspehi Mat. Nauk 13 (1958), no. 5 (83), 3–120 (Russian). MR 0102721