Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)

1984/02/01 by Freydoon Shahidi · 211 citations
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Analytic Number Theory Research #Finite Group Theory Research #Fourier transform #Mathematical analysis #Mathematics #Pure mathematics

paper · doi:10.2307/2374430

published in American Journal of Mathematics 106(1), 67 (Johns Hopkins University Press)

openalex publication_date 1984/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Citations

• On Euler Products and the Classification of Automorphic Representations I
• Rankin-Selberg Convolutions

Cited by

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• The Analytic Strong Multiplicity One Theorem for GL_m(A_K)
• On the absolute convergence of the spectral side of the Arthur trace formula for GL(n)
• To an effective local Langlands Corrspondence
• On sharpness in Local Converse Theorems for classical groups and G₂
• Plancherel measure for GL(n,F) and GL(m,D): explicit formulas and Bernstein decomposition
• Test vectors for finite periods and base change
• The Hiraga-Ichino-Ikeda conjecture on formal degrees for classical groups
• Gamma factors for Asai representations of \rm GL₂
• Plancherel formula for GL_n(F)\backslash GL_n(E) and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups
• On the images and poles of degenerate Eisenstein series for GL_n(\mathbb A_{\mathbb Q}) and GL_n(\mathbb R)
• On the Local Converse Theorem for p-adic GLn
• Weyl's law for the cuspidal spectrum of SL(n)
• On the generic local Langlands correspondence for GSpin groups
• L-packets and the generic Arthur packet conjectures for even unitary similitude groups
• On the Local Converse Theorem for Depth (1)/(N) Supercuspidal Representations of GL(2N, F)
• SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS
• A Theorem on Analytic Strong Multiplicity One
• Soft bounds for local triple products and the subconvexity-QUE implication for GL₂
• Boundedness of automorphic 𝐿–functions in vertical strips
• A Proof of Langlands' Conjecture on Plancherel Measures; Complementary Series of -adic groups
• Epsilon factor for GL_l × GL_l'; l≠ l' primes
• Functoriality for the Classical Groups over Function Fields
• A conjecture on Whittaker–Fourier coefficients of cusp forms
• Galois self-dual cuspidal types and Asai local factors
• Lectures on the Arthur-Selberg Trace Formula