Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

On analytic semigroups and cosine functions in Banach spaces

V. KeyantuoP. Vieten — 1998

Studia Mathematica

If A generates a bounded cosine function on a Banach space X then the negative square root B of A generates a holomorphic semigroup, and this semigroup is the conjugate potential transform of the cosine function. This connection is studied in detail, and it is used for a characterization of cosine function generators in terms of growth conditions on the semigroup generated by B. The characterization relies on new results on the inversion of the vector-valued conjugate potential transform.

Page 1

Download Results (CSV)