A monotonicity property of the new basis of C[(Z/2)^D]
G.Lusztig
TL;DR
This paper investigates a monotonicity property of a new basis for the group algebra of (Z/2)^D and explores the Fourier transform matrix coefficients relative to this basis, proposing a conjecture.
Contribution
It establishes a monotonicity property for the new basis and formulates a conjecture on the Fourier transform matrix coefficients.
Findings
Proved the monotonicity property of the new basis.
Analyzed the matrix coefficients of the Fourier transform.
Formulated a conjecture regarding these coefficients.
Abstract
We prove a montonicity property of the new basis of C[(Z/2)^D]. We also study the matrix coefficients of the Fourier transform with respect to the new basis and formulate a conjecture for them.
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Taxonomy
TopicsMathematical functions and polynomials · Analytic Number Theory Research · Mathematics and Applications