{"paper":{"title":"Spectral Distribution in the Eigenvalues Sequence of Products of g-Toeplitz Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Eric Ngondiep","submitted_at":"2019-05-02T18:31:02Z","abstract_excerpt":"Starting from the definition of an $n\\times n$ $g$-Toeplitz matrix, $T_{n,g}(u)=\\left[\\widehat{u}_{r-gs}\\right]_{r,s=0}^{n-1},$ where $g$ is a given nonnegative parameter, $\\{\\widehat{u}_{k}\\}$ is the sequence of Fourier coefficients of the Lebesgue integrable function $u$ defined over the domain $\\mathbb{T}=(-\\pi,\\pi]$, we consider the product of $g$-Toeplitz sequences of matrices, $\\{T_{n,g}(f_{1})T_{n,g}(f_{2})\\},$ which extends the product of Toeplitz structures, $\\{T_{n}(f_{1})T_{n}(f_{2})\\},$ in the case where the symbols $f_{1},f_{2}\\in L^{\\infty}(\\mathbb{T}).$ Under suitable assumption"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.03034","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}