Applications of the purely imaginary powers of operators in Hilbert spaces

DOI10.1016/0022-1236(87)90066-8zbMath0621.47024OpenAlexW1983092857MaRDI QIDQ1089887

Atsushi Yagi

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90066-8

zbMATH Keywords

fractional powersevolution equationspurely imaginary powerscosine families in Hilbert spacessquare integral estimates

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Equations and inequalities involving linear operators, with vector unknowns (47A50)

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