Alexander Volberg

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20242026

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math.NT2024

Fourier growth of degree $2$ polynomials

Lars Becker, Joseph Slote, Alexander Volberg +1

We prove bounds for the absolute sum of all level- $k$ Fourier coefficients for $(- 1)^{p (x)}$ , where polynomial $p : F_{2}^{n} \to F_{2}$ is of degree $1$ or degree $2$ .

math.FA2024

Noncommutative Bohnenblust--Hille Inequality for qudit systems

Joseph Slote, Alexander Volberg, Haonan Zhang

Previous noncommutative Bohnenblust--Hille (BH) inequalities addressed operator decompositions in the tensor-product space $M_{2} (C)^{\otimes n}$ ; \emph{i.e.,} for systems o…

Fourier growth of degree 2 polynomials

Noncommutative Bohnenblust--Hille Inequality for qudit systems

Fourier growth of degree $2$ polynomials