Hyperfunction semigroups
classification
🧮 math.FA
keywords
semigroupshyperfunctiondefinedanalyzecharacterizationsclosedconditionsconnections
read the original abstract
We analyze Fourier hyperfunction and hyperfunction semigroups with non-densely defined generators and their connections with local convoluted $C$-semigroups. Structural theorems and spectral characterizations give necessary and sufficient conditions for the existence of such semigroups generated by a closed not necessarily densely defined operator $A$.
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