Formulae of Fredholm type for solutions of linear equations with generalized Fredholm operator
A. Buraczewski (1969)
Studia Mathematica
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Displaying similar documents to “Determinants in Banach spaces”
Formulae of Fredholm type for solutions of linear equations with generalized Fredholm operator
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Analytic extensions of the metaplectic representation by integral operators of Gaussian type have been calculated in the and the Bargmann-Fock realisations by Howe [How2] and Brunet-Kramer [Brunet-Kramer, Reports on Math. Phys., 17 (1980), 205-215]], respectively. In this paper we show that the resulting semigroups of operators are isomorphic and calculate the intertwining operator.
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We prove a reiteration theorem for interpolationmethods defined by means of polygons, and a Wolff theorem for the case when the polygon has 3 or 4 vertices. In particular, we establish a Wolff theorem for Fernandez' spaces, which settles a problem left over in [5].