A Mixed Parseval-Plancherel Formula
Abstract
In this note, a general formula is proved. It expresses the integral on the line of the product of a function f and a periodic function g in terms of the Fourier transform of f and the Fourier coefficients of g. This allows the evaluation of some oscillatory integrals.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.