Geodesic
Stationary phase method, powers of functions, and applications to functional analysis
Algebra i analiz, Tome 34 (2022) no. 3, pp. 51-92

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The utility of the (weighted) van der Corput inequalities or of the stationary phase method is illustrated with various examples borrowed from: differentiability issues (Riemann's function and related); functional analysis on Banach spaces or algebras of analytic functions (composition operators); and local Banach space geometry (Schäffer's problem).
Keywords: stationary phase method, powers of functions, Blaschke factors, Wiener space, Dirichlet series, composition operators, Schäffer's problem, Toeplitz operators. 
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H. Queffélec; R. Zarouf. Stationary phase method, powers of functions, and applications to functional analysis. Algebra i analiz, Tome 34 (2022) no. 3, pp. 51-92. http://geodesic.mathdoc.fr/item/AA_2022_34_3_a2/

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