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Fejér kernel

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21: Bibliography J
  • A. J. Jerri (1982) A note on sampling expansion for a transform with parabolic cylinder kernel. Inform. Sci. 26 (2), pp. 155–158.
  • 22: 3.5 Quadrature
    Examples of open rules are the Gauss formulas (§3.5(v)), the midpoint rule, and Fejér’s quadrature rule. …
    23: 10.73 Physical Applications
    The analysis of the current distribution in circular conductors leads to the Kelvin functions ber x , bei x , ker x , and kei x . …
    24: 28.32 Mathematical Applications
    Kernels K can be found, for example, by separating solutions of the wave equation in other systems of orthogonal coordinates. …
    25: Bibliography T
  • C. A. Tracy and H. Widom (1994) Level-spacing distributions and the Airy kernel. Comm. Math. Phys. 159 (1), pp. 151–174.
  • 26: Bibliography H
  • R. A. Handelsman and J. S. Lew (1971) Asymptotic expansion of a class of integral transforms with algebraically dominated kernels. J. Math. Anal. Appl. 35 (2), pp. 405–433.
  • 27: 28.28 Integrals, Integral Representations, and Integral Equations
    §28.28(i) Equations with Elementary Kernels
    28: Bibliography
  • Y. Ameur and J. Cronvall (2023) Szegő Type Asymptotics for the Reproducing Kernel in Spaces of Full-Plane Weighted Polynomials. Comm. Math. Phys. 398 (3), pp. 1291–1348.
  • 29: 18.12 Generating Functions
    See §18.18(vii) for Poisson kernels; these are special cases of bilateral generating functions.
    30: Bibliography B
  • B. L. J. Braaksma and B. Meulenbeld (1967) Integral transforms with generalized Legendre functions as kernels. Compositio Math. 18, pp. 235–287.