Temperate distributions associated with the Klein-Gordon equation

  title={Temperate distributions associated with the Klein-Gordon equation},
  author={A. Deprit},
  journal={Il Nuovo Cimento (1943-1954)},
  • A. Deprit
  • Published 1954
  • Mathematics
  • Il Nuovo Cimento (1943-1954)
  • 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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