Temperate distributions associated with the Klein-Gordon equation
@article{Deprit1954TemperateDA, title={Temperate distributions associated with the Klein-Gordon equation}, author={A. Deprit}, journal={Il Nuovo Cimento (1943-1954)}, year={1954}, volume={12}, pages={335-350} }
SummaryA distribution treatment is applied to the Klein-Gordon equation. The function Δ(x,t) is found to be theresolving distribution of the Klein-Gordon equation, considered as an evolution equation connected with the space convolution product. Δret(x,t) is theelementary kernel in the one-parameter algebra of operators which is associated with the Klein-Gordon differential operator. Finally
$$\bar \Delta (x,t)$$
is shown to be one of theelementary solutions of the Klein-Gordon equation… CONTINUE READING
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