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On a certain poisson formula1

Published online by Cambridge University Press:  22 January 2016

Jun-Ichi Igusa
Jun-Ichi Igusa*
Affiliation:
The Johns Hopkins University
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Let G denote a locally compact commutative group with a lattice Γ, G* its dual, and for every (g, g*) in G × G*; let Γ* denote the annihilator of Γ in G* and dg the Haar measure on G such that G/Γ is of measure 1.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 53 , May 1974, pp. 211 - 233
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1974

Footnotes

1

This work was partially supported by the National Science Foundation.

References

[1] Deligne, P., Lectures in honor of W. V. D. Hodge, Cambridge (1973).Google Scholar
[2] Dwork, B., On the zeta function of a hypersurface, Pub. Math. IHES 12 (1962), 5–68; II. Ann. Math. 80 (1964), 227–299.Google Scholar
[3] Hironaka, H., Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. Math. 79 (1964), 109–326.Google Scholar
[4] Hörmander, L., Linear partial differential operators, Grundl. Math. Wiss. 116, Springer-Verlag (1964).Google Scholar
[5] Igusa, J., On the arithmetic of Pfaffians, Nagoya Math. J. 47 (1972), 169–198.Google Scholar
[6] Igusa, J., Complex powers and asymptotic expansions, cited AE (to appear).Google Scholar
[7] Siegel, C. L., Analytische Zahlentheorie. I, Lect. Note, Göttingen (1963).Google Scholar
[8] Weil, A., Sur certains groupes d’opérateurs unitaires, Acta Math. 111 (1964), 143–211.Google Scholar
[9] Weil, A., Sur la formule de Siegel dans la théorie des groupes classiques, Acta Math. 113 (1965), 1–87.Google Scholar