A calculus approach to hyperfunctions III

DOI10.1017/S0027763000003032zbMath0692.46042OpenAlexW4254283684MaRDI QIDQ3034352

Tadato Matsuzawa

Publication date: 1990

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000003032

zbMATH Keywords

action of pseudodifferential operators in the space of hyperfunctionscalculus approach to hyperfunctionsinitial value of a solution of the heat equation

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Heat equation (35K05) Analyticity in context of PDEs (35A20) Hyperfunctions, analytic functionals (46F15)

Related Items (27)

The stability of Cauchy equations in the space of Schwartz distributions ⋮ Rotation Inveriant Generalized Functioins^∗ ⋮ Mehler kernel approach to tempered distributions ⋮ Stability of a quadratic Jensen type functional equation in the spaces of generalized functions ⋮ Approximately additive Schwartz distributions ⋮ Stability for quadratic functional equation in the spaces of generalized functions ⋮ On the stability of trigonometric functional equations in distributions and hyperfunctions ⋮ Stability of an additive functional equation in the spaces of generalized functions ⋮ Stability of approximately quadratic Schwartz distributions ⋮ On the stability of a mixed type functional equation in generalized functions ⋮ Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces ⋮ The Yang-Mills heat semigroup on three-manifolds with boundary ⋮ Asymptotic expansions of solutions to the heat equations with initial value in the dual of Gelfand-Shilov spaces ⋮ Stability of quadratic functional equations in generalized functions ⋮ Heat kernel method for quintic and sextic equations in distributions and hyperfunctions ⋮ Stability of functional equations in the spaces of distributions and hyperfunctions. ⋮ Stability in generalized functions ⋮ New distribution spaces associated to translation-invariant Banach spaces ⋮ Stability of cubic functional equation in the spaces of generalized functions ⋮ Stability of exponential equations in Schwartz distributions ⋮ Hyers–Ulam stability on a generalized quadratic functional equation in distributions and hyperfunctions ⋮ Hyers-Ulam-Rassias stability of Cauchy equation in the space of Schwartz distributions ⋮ Stability of Jensen equations in the space of generalized functions ⋮ Stability of a Jensen type equation in the space of generalized functions ⋮ Stability of quartic functional equations in the spaces of generalized functions ⋮ HEAT KERNEL METHOD FOR THE LEVI-CIVITÁ EQUATION IN DISTRIBUTIONS AND HYPERFUNCTIONS ⋮ A heat kernel approach to the stability of exponential equation in distributions and hyperfunctions

Cites Work

• Opérateurs pseudodif[facuteerentiels et classes de gevrey]
• A calculus approach to hyperfunctions I
• Propagation of analytic singularities for second order dirichlet problems

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