Some remarks on Poincaré series

Clifford J. Earle

Compositio Mathematica (1969)

  • Volume: 21, Issue: 2, page 167-176
  • ISSN: 0010-437X

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Earle, Clifford J.. "Some remarks on Poincaré series." Compositio Mathematica 21.2 (1969): 167-176. <http://eudml.org/doc/89008>.

@article{Earle1969,
author = {Earle, Clifford J.},
journal = {Compositio Mathematica},
keywords = {modular functions, automorphic functions, almost periodic functions},
language = {eng},
number = {2},
pages = {167-176},
publisher = {Wolters-Noordhoff Publishing},
title = {Some remarks on Poincaré series},
url = {http://eudml.org/doc/89008},
volume = {21},
year = {1969},
}

TY - JOUR
AU - Earle, Clifford J.
TI - Some remarks on Poincaré series
JO - Compositio Mathematica
PY - 1969
PB - Wolters-Noordhoff Publishing
VL - 21
IS - 2
SP - 167
EP - 176
LA - eng
KW - modular functions, automorphic functions, almost periodic functions
UR - http://eudml.org/doc/89008
ER -

References

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  1. L.V. Ahlfors [1] Finitely generated Kleinian groups, Amer. J. Math.86 (1964), 413 — 429. Zbl0133.04201
  2. W.L. Baily, Jr. and A. Borel [2] Compactification of arithmetic quotients of bounded symmetric domains, Annals of Math.84 (1966), 442-528. Zbl0154.08602MR216035
  3. D. Bell [3] Poincaré series representations of automorphic forms, Thesis, Brown University, 1966. 
  4. L. Bers [4] Automorphic forms and Poincaré series for infinitely generated Fuchsian groups, Amer. J. Math.87 (1965), 196-214. Zbl0141.27502MR174737
  5. D. Drasin and C. Earle [5] On the boundedness of automorphic forms, Proc. Amer. Math. Soc.19 (1968), 1039-1042. Zbl0169.10103MR239083
  6. N. Dunford and J.T. Schwartz [6] Linear Operators I, Interscience, New York, 1958. Zbl0084.10402MR117523
  7. C.J. Earle [7] A reproducing formula for integrable automorphic forms, Amer. J. Math.88 (1966), 867-870. Zbl0173.33303MR206267
  8. R. Godement [8] Séries de Poincaré et Spitzenformen, Séminaire Henri Cartan, 10e année (1957/1958), exposé 10. 
  9. G.S. Innis, Jr. [9] Some reproducing kernels for the unit disk, Pacific J. Math.14 (1964), 177-187. Zbl0133.03702MR182741
  10. A. Selberg [10] Automorphic functions and integral operators, Seminars on Analytic Functions, Institute for Advanced Study, 1957, vol. II, 152-161. Zbl0095.28202
  11. H.L. Resnikoff [11] Supplement to "Some remarks on Poincaré series", Compositio Mathematica21 (1969), 177-181. Zbl0194.39203MR247052

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