An asymptotic series expansion of the multidimensional renewal measure

Hasse Carlsson; Stephen Wainger

Compositio Mathematica (1982)

  • Volume: 47, Issue: 3, page 355-364
  • ISSN: 0010-437X

How to cite

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Carlsson, Hasse, and Wainger, Stephen. "An asymptotic series expansion of the multidimensional renewal measure." Compositio Mathematica 47.3 (1982): 355-364. <http://eudml.org/doc/89579>.

@article{Carlsson1982,
author = {Carlsson, Hasse, Wainger, Stephen},
journal = {Compositio Mathematica},
keywords = {renewal measure; asymptotic series expansion},
language = {eng},
number = {3},
pages = {355-364},
publisher = {Martinus Nijhoff Publishers},
title = {An asymptotic series expansion of the multidimensional renewal measure},
url = {http://eudml.org/doc/89579},
volume = {47},
year = {1982},
}

TY - JOUR
AU - Carlsson, Hasse
AU - Wainger, Stephen
TI - An asymptotic series expansion of the multidimensional renewal measure
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 47
IS - 3
SP - 355
EP - 364
LA - eng
KW - renewal measure; asymptotic series expansion
UR - http://eudml.org/doc/89579
ER -

References

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  1. [1] H. Carlsson: Error estimates in d-dimensional renewal theory. Comp. Math.46 (1982) 227-253. Zbl0492.60083MR659923
  2. [2] R.A. Doney: An analogue of the renewal theorem in higher dimensions. Proc. London Math. Soc. (3) 16 (1966) 669-684. Zbl0147.16301MR203826
  3. [3] G.B. Folland and E.M. Stein: Estimates for the ∂b complex and analysis on the Heisenberg group. Comm. Pure Appl. Math.27 (1974) 429-552. Zbl0293.35012
  4. [4] P.E. Ney and F. Spitzer: The Martin boundary for random walk. Trans. Amer. Math. Soc.121 (1966) 116-132. Zbl0141.15601MR195151
  5. [5] L.P. Rothschild and E.M. Stein: Hypoelliptic differential operators and nilpotent groups. Acta Math.137 (1976) 247-320. Zbl0346.35030MR436223
  6. [6] A.J. Stam: Renewal theory in r dimensions, I. Comp. Math.21 (1969) 383-399. Zbl0192.54601MR261714
  7. [7] C.J. Stone: On characteristic functions and renewal theory. Trans. Amer. Math. Soc.120 (1965) 327-342. Zbl0133.40504MR189151

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