Vector Valued Hyperfunctions and Boundary Values of Vector Valued Harmonic and Holomorphic Functions
Vector Valued Hyperfunctions and Boundary Values of Vector Valued Harmonic and Holomorphic Functions
We develop the theory of hyperfunctions with values in a locally convex nonnecessarily metrizable space E and find necessary conditions and sufficient conditions such that a reasonable theory of E -valued hyperfunctions exists. In particular, we show that it exists for various spaces of distributions but there is no such …