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Estimation of multiple Laplace transforms of convex functions with an application to analytic \((C_ 0)\)-semigroups

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Publication:1098046
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DOI10.3792/pjaa.62.253zbMath0636.44001OpenAlexW2069052155MaRDI QIDQ1098046

Gen Nakamura, Shinnosuke Oharu

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.253


zbMATH Keywords

convex functionsBanach spaceanalytic semigroupiteration of resolventsmultiple Laplace transforms


Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Laplace transform (44A10) Convexity of real functions in one variable, generalizations (26A51) Multiple integral transforms (44A30)


Related Items (2)

Nonlinear perturbations of analytic semigroups ⋮ Semigroups of operators, cosine operator functions, and linear differential equations



Cites Work

  • Semigroups of linear operators and applications to partial differential equations
  • Remarks on generators of analytic semigroups


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