The Fourier transform on L loc 1 and its application to Cauchy problems for linear partial differential equations

Jan Persson

Rendiconti del Seminario Matematico della Università di Padova (1971)

  • Volume: 45, page 113-127
  • ISSN: 0041-8994

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Persson, Jan. "The Fourier transform on $L^1_\text{loc}$ and its application to Cauchy problems for linear partial differential equations." Rendiconti del Seminario Matematico della Università di Padova 45 (1971): 113-127. <http://eudml.org/doc/107370>.

@article{Persson1971,
author = {Persson, Jan},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {113-127},
publisher = {Seminario Matematico of the University of Padua},
title = {The Fourier transform on $L^1_\text\{loc\}$ and its application to Cauchy problems for linear partial differential equations},
url = {http://eudml.org/doc/107370},
volume = {45},
year = {1971},
}

TY - JOUR
AU - Persson, Jan
TI - The Fourier transform on $L^1_\text{loc}$ and its application to Cauchy problems for linear partial differential equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1971
PB - Seminario Matematico of the University of Padua
VL - 45
SP - 113
EP - 127
LA - eng
UR - http://eudml.org/doc/107370
ER -

References

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  1. [1] Hille, E., and Phillips, R.S.: Functional analysis and semi-groups, Amer. Math. Soc., Providence, R.I., 1957. Zbl0078.10004MR89373
  2. [2] Hörmander, L.: Linear partial differential operators, Springer, Berlin, 1963. Zbl0108.09301MR404822
  3. [3] Ovsjannikov, L.V.: A singular operator in a scale of Banach spaces, Dokl. Akad. Nauk SSSR163, 819-822 (1965). English translation Soviet Math. Dokl, 6, 1025-1028 (1965). Zbl0144.39003MR190754
  4. [4] Persson, J.: Global linear Goursat problems for functions of Gevrey-Lednev type, Ann. Sc. Norm., Pisa Cl. Sc. s. 3, 23, 387-412 (1969). Zbl0176.08801MR287131
  5. [5] Treves, F.: On the theory of linear partial differential operators with analytic coefficients, Trans. Am. Math. Soc., 137, 1-20 (1969). Zbl0187.03201MR247267
  6. [6] Treves, F.: Ovcyannikov theorem and hyperdifferential operators, Instituto de Matematica pura e aplicada, Rio de Janeiro, 1968. Zbl0205.39202MR290202

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