The Selberg trace formula. VIII. Contribution from the continuous spectrum

The Selberg trace formula. VIII. Contribution from the continuous spectrum
HTML articles powered by AMS MathViewer

by M. Scott Osborne and Garth Warner PDF

Trans. Amer. Math. Soc. 324 (1991), 623-653 Request permission

The purpose of this paper is to isolate the contribution from the continuous spectrum to the Selberg trace formula.

References

James Arthur, The characters of discrete series as orbital integrals, Invent. Math. 32 (1976), no. 3, 205–261. MR 412348, DOI 10.1007/BF01425569
James Arthur, The trace formula in invariant form, Ann. of Math. (2) 114 (1981), no. 1, 1–74. MR 625344, DOI 10.2307/1971376
James Arthur, On a family of distributions obtained from Eisenstein series. I. Application of the Paley-Wiener theorem, Amer. J. Math. 104 (1982), no. 6, 1243–1288. MR 681737, DOI 10.2307/2374061
James Arthur, On a family of distributions obtained from Eisenstein series. II. Explicit formulas, Amer. J. Math. 104 (1982), no. 6, 1289–1336. MR 681738, DOI 10.2307/2374062
M. Scott Osborne and Garth Warner, The Selberg trace formula. I. $\Gamma$-rank one lattices, J. Reine Angew. Math. 324 (1981), 1–113. MR 614517, DOI 10.1515/crll.1981.324.1
M. Scott Osborne and Garth Warner, The Selberg trace formula. II. Partition, reduction, truncation, Pacific J. Math. 106 (1983), no. 2, 307–496. MR 699915

The Selberg trace formula

M. Scott Osborne and Garth Warner, The Selberg trace formula. V. Questions of trace class, Trans. Amer. Math. Soc. 286 (1984), no. 1, 351–376. MR 756044, DOI 10.1090/S0002-9947-1984-0756044-9
M. Scott Osborne and Garth Warner, The Selberg trace formula. VI. Implications of estimability, Amer. J. Math. 107 (1985), no. 6, 1369–1437 (1986). MR 815766, DOI 10.2307/2374410
M. Scott Osborne and Garth Warner, The Selberg trace formula. VII. Application of the truncation process to the continuous spectrum, Pacific J. Math. 140 (1989), no. 2, 263–352. MR 1023790

Invariant Eisenstein systems