scientific article

zbMath1283.11144MaRDI QIDQ3020623

Willi Freeden

Publication date: 5 August 2011

Full work available at URL: http://www.crcnetbase.com/isbn/9781439861851

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Gamma functionRiemann-Lebesgue theoremRiemann Zeta functionlattice functionMinkowski's lattice point theoremHardy-Landau identitylattice point discrepancy(iterated) Laplace and the Helmholtz operatorAbel-Poisson and Gauß-Weierstraß limitsBlichfeldt's and Minkowski's lattice point theoremcircular and spherical harmonicsEuler and Poisson summation formulasFourier boundary and stationary point asymptoticsFourier expansions and transformGauß-Weierstraß, Abel-Poisson and Hankel transformsgeneralized Parseval identitylattice ball summationradial and angular decompositions of harmonics and metaharmonics

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lattice points in specified regions (11P21) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (10)

Singular Euler–Maclaurin expansion on multidimensional lattices ⋮ Romberg extrapolation for Euler summation-based cubature on regular regions ⋮ Sharp pointwise Weyl laws for Schrödinger operators with singular potentials on flat tori ⋮ Multi-variate Hardy-type lattice point summation and Shannon-type sampling ⋮ On Weyl's asymptotics and remainder term for the orthogonal and unitary groups ⋮ Mathematical methods in geothermy ⋮ Integration On Three-Dimensional Regular Regions Based On (Modified) Euler Summation ⋮ Gauss as Scientific Mediator Between Mathematics and Geodesy from the Past to the Present ⋮ Mathematik als Schlüsseltechnologie zum Verständnis des Systems ``Tiefe Geothermie ⋮ Weyl formulae for Schrödinger operators with critically singular potentials

This page was built for publication: