Mihail N. Kolountzakis

activity

19982023

most citedComplex Hadamard matrices and the Spectral Set Conjecture

151 citations · 264 across the 42 of their papers we have counts for

collaborators

Showing 1999Show all

3 papers · 1 filter

math.CA1999

A remark on perturbations of sine and cosine sums

Mihail N. Kolountzakis

Consider a collection $λ_{1} < ... < λ_{N}$ of distinct positive integers and the quantities $M_{1} = M_{1} (λ_{1}, ..., λ_{N}) = 0 \leq x \leq 2 π max ∣ j = 1 \sum N sin λ_{j} x ∣$ and $$ M_2 = M_2…

math.CA1999★ 1 cited

Packing, tiling, orthogonality and completeness

Mihail N. Kolountzakis

Let $Ω \subseteq R^{d}$ be an open set of measure 1. An open set $D \subseteq R^{d}$ is called a ``tight orthogonal packing region'' for $Ω$ if $D - D$ does not intersect the…

math.CA1999★ 3 cited

Non-symmetric convex domains have no basis of exponentials

Mihail N. Kolountzakis

A conjecture of Fuglede states that a bounded measurable set $Ω$ in space, of measure 1, can tile space by translations if and only if the Hilbert space $L^{2} (Ω)$ has an orthonormal…