Calcul pseudodifférentiel p -adique

Abdellah Bechata

Annales de la Faculté des sciences de Toulouse : Mathématiques (2004)

  • Volume: 13, Issue: 2, page 179-240
  • ISSN: 0240-2963

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Bechata, Abdellah. "Calcul pseudodifférentiel $p$-adique." Annales de la Faculté des sciences de Toulouse : Mathématiques 13.2 (2004): 179-240. <http://eudml.org/doc/73623>.

@article{Bechata2004,
author = {Bechata, Abdellah},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {pseudodifferential operators; Weyl calculus; -adic analysis},
language = {fre},
number = {2},
pages = {179-240},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {Calcul pseudodifférentiel $p$-adique},
url = {http://eudml.org/doc/73623},
volume = {13},
year = {2004},
}

TY - JOUR
AU - Bechata, Abdellah
TI - Calcul pseudodifférentiel $p$-adique
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2004
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 13
IS - 2
SP - 179
EP - 240
LA - fre
KW - pseudodifferential operators; Weyl calculus; -adic analysis
UR - http://eudml.org/doc/73623
ER -

References

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  4. [GGPS] Guelfand ( I.M. ), Graev ( M.I.), Piateskii-Shapiro ( I.I.). - Representation theory and automorphic functions, vol. 6, Academic Press, Boston (1990). Zbl0718.11022MR1071179
  5. [SH] Haran ( S. ). - Quantization and symbolic calculus over the p-adic numbers, Annales de l'Institut Fourier43,4, p. 997-1053 (1993). Zbl0974.22009MR1252936
  6. [LH] Hörmander ( L.). - The Weyl Calculus of pseudodifferential operators, Comm. Pure Appl. Math.32,3, p. 360-444 (1979). Zbl0388.47032
  7. [SL] Lang ( S.). - Algebraic Number Theory, Addison-Wesley , Reading Mass. (1970). Zbl0211.38404MR282947
  8. [RS] Reed ( M.) & Simon ( B.). - Methods of modern mathematical physics , tome I, Functional Analysis , Academic Press, New-York (1980). Zbl0459.46001
  9. [MT] Taibleson ( M.H. ). - Fourier Analysis on local field, Princeton University Press, Princeton (1975). Zbl0319.42011MR487295
  10. [AU1] Unterberger ( A.). - Oscillateur harmonique et opérateurs pseudodifférentiels , Annales de l'Institut Fourier29,3, p. 201-221 (1979). Zbl0396.47027MR552965
  11. [AU2] Unterberger ( A.). - Quantization and non-holomorphic modular forms, Lecture Notes in Math, Springer-Verlag (2000). Zbl0970.11014MR1783191
  12. [AU3] A. UNTERBERGER ( A.). - Automorphic pseudodifferential analysis and higher-level Weyl calculi, Birkhäuser, Berlin-Heidelberg-New York (2003). Zbl1018.11018MR1956320
  13. [UU] Unterberger, H. Upmeier. - Pseudodifferential analysis on symmetric cones, CRC Press, Boca Raton (USA) (1996). Zbl0854.35001MR1382864
  14. [VVZ] Vladimirov ( V.S.), Volovich ( I.V.), Zelenov ( E.I.). - p-adic analysis and mathematical physics, Series on Soviet & European Mathematics-vol. 1, World Scientific (1994). Zbl0812.46076
  15. [AW] Weil ( A.). - Basic Number Theory, Springer-Verlag , Berlin (1967). Zbl0176.33601MR234930

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