♦ 6 matching pages ♦
6 matching pages
… ►He is author of the book Multiparameter spectral theory in Hilbert space, published by Pitman in 1978, and coauthor (with D. …
… ►Expansions of Heun polynomial products in terms of Jacobi polynomial (§18.3) products are derived in Kalnins and Miller (1991a, b, 1993) from the viewpoint of interrelation between two bases in a Hilbert space: … ►
31.15.12►The normalized system of products (31.15.8) forms an orthonormal basis in the Hilbert space . …
Multiparameter spectral theory in Hilbert space.
Research Notes in Mathematics, Vol. 22, Pitman (Advanced Publishing Program), Boston, Mass.-London.
… ►This relates to a suggestion of Hilbert and Pólya that the zeros are eigenvalues of some operator, and the Riemann hypothesis is true if that operator is Hermitian. … ►Quantum field theory often encounters formally divergent sums that need to be evaluated by a process of regularization: for example, the energy of the electromagnetic vacuum in a confined space (Casimir–Polder effect). …
On the distribution of spacings between zeros of the zeta function.
Math. Comp. 48 (177), pp. 273–308.
Triorthogonal systems in spaces of constant curvature in which the equation allows a complete separation of variables.
Mat. Sbornik N.S. 27(69) (3), pp. 379–426 (Russian).
Numerical solution of Riemann-Hilbert problems: Painlevé II.
Found. Comput. Math. 11 (2), pp. 153–179.
Solution of Equations in Euclidean and Banach Spaces.
Pure and Applied Mathematics, Vol. 9, Academic Press, New York-London.