Flicker, Yuval Z. Regular trace formula and base change lifting. (English) Zbl 0666.10020 Am. J. Math. 110, No. 4, 739-764 (1988). A trace formula for regular test function is called here a regular trace formula. Such a formula is established here for \(\mathrm{GL}(2)\) and is applied to prove the cyclic base change theory for \(\mathrm{GL}(2)\). Reviewer: King F. Lai (Hong Kong) Cited in 8 Documents MSC: 11F72 Spectral theory; trace formulas (e.g., that of Selberg) 22E50 Representations of Lie and linear algebraic groups over local fields 22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings Keywords:trace formula; regular test function; regular trace formula; base change PDFBibTeX XMLCite \textit{Y. Z. Flicker}, Am. J. Math. 110, No. 4, 739--764 (1988; Zbl 0666.10020) Full Text: DOI