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  "path": "/2026/03/23/local-bernstein-theory-and-lower-bounds-for-lebesgue-constants/",
  "publishedAt": "2026-03-24T04:30:57.000Z",
  "site": "https://terrytao.wordpress.com",
  "tags": [
    "math.CA",
    "math.CV",
    "paper",
    "exponential type",
    "Lagrange interpolation",
    "Paul Erdos",
    "trigonometric polynomials"
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  "textContent": "I’ve just uploaded to the arXiv my paper “Local Bernstein theory, and lower bounds for Lebesgue constants“. This paper was initially motivated by a problem of Erdős} on Lagrange interpolation, but in the course of solving that problem, I ended up modifying some very classical arguments of Bernstein and his contemporaries (Boas, Duffin, Schaeffer, Riesz, […]",
  "title": "Local Bernstein theory, and lower bounds for Lebesgue constants"
}