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On the meromorphic and schechter-shapiro operational calculi

✍ Scribed by Manuel Gonzalez; Victor M. Onieva

Book ID
104151470
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
577 KB
Volume
116
Category
Article
ISSN
0022-247X

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✦ Synopsis

1979), 379-390)

, to include meromorphic functions with poles in the extended spectrum which are not eigenvalues. Second, by M. Schechter and J. Shapiro (Trans. Amer. Math. Soc. 175 (1973), 439-467), to include functions analytic on a neighborhood of the Fredholm spectrum.

In this paper we give several results about the meromorphic calculus, in particular, spectral mapping theorems for essential spectra; and we apply our results to the study of the solutions of some integro-differential equations. Moreover, for functions admissible in both calculi, we verify that with suitable choice of quasi-resolvent and contour of integration, the Schechter-Shapiro calculus yields an extension of the operator provided by the meromorphic calculus.

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