The Fourier method for the linear partial differential equations of the n -th order

Jaroslav Hančl

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1989)

  • Volume: 28, Issue: 1, page 123-135
  • ISSN: 0231-9721

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Hančl, Jaroslav. "The Fourier method for the linear partial differential equations of the $n$-th order." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 28.1 (1989): 123-135. <http://eudml.org/doc/23505>.

@article{Hančl1989,
author = {Hančl, Jaroslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Fourier method; Kummer transformation},
language = {eng},
number = {1},
pages = {123-135},
publisher = {Palacký University Olomouc},
title = {The Fourier method for the linear partial differential equations of the $n$-th order},
url = {http://eudml.org/doc/23505},
volume = {28},
year = {1989},
}

TY - JOUR
AU - Hančl, Jaroslav
TI - The Fourier method for the linear partial differential equations of the $n$-th order
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1989
PB - Palacký University Olomouc
VL - 28
IS - 1
SP - 123
EP - 135
LA - eng
KW - Fourier method; Kummer transformation
UR - http://eudml.org/doc/23505
ER -

References

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  1. Bochner S., Chandrasekharan K.C., Fourier Transforms, Princeton, 1949 Zbl0065.34101MR0031582
  2. Butzer P.L., Nessel R.J., Fourier Analysis and Aproximation, Vol.1, Birkhauser, 1971 MR0510857
  3. Hančl J.., A Note to the Fourier Method of Solving Partial Second Order Differential Equations, Acta Univ. Palac.Olom. (1988) (1988) Zbl0703.35039MR1039897
  4. Hörmander L., The Analysis of Linear Partial Differential Operators, Distribution Theory and Fourier Analysis, Springer, 1983 MR0717035
  5. Kufner A., Kadlec D., Fourier Series, Praha, Academia, 1969 Zbl0215.17901
  6. Laitoch M., About Solutions of Functional Equations F(tf(x)) ~ F(x) s *i, Časopis pro pěst.mat., 81 (1956), 420-425 (1956) 
  7. Laitoch M., To a Problem of Ortogonal Systems with the Weight, Acta Univ.Palac.Olom. 3 (1960) 11-28, (Russian) (1960) MR0287243
  8. Schlömilch O., Compendium der höherer Analysis, II Band Braunschweig, 1866 (German) 
  9. Sneddon I.N., Fourier Transforms, Mc Graw-Hill, 1951 Zbl0038.26801MR0041963
  10. Vladimirov V.S., Equations of Mathematical Physics, Moskva, 1967, (Russian) (1967) MR0239242

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