Spectral theory of differential operators : self-adjoint differential operators
Vladimir Aleksandrovich Il'in · Consultants Bureau eBooks · 1995
Introduction. Nomenclature. The Expansion in Fundamental System of Functions of the Laplace Operator. The Spectral Expansions Related to an Arbitrary Selfadjoint Nonnegative Extension of the Laplace Operator. On the Riesz Equisummability of Spectral Decompositions in the Classical Sense and Generalized Sense. Selfadjoint Nonnegative Extensions of the Elliptic Operator of the Second Order. Appendix 1: Conditions for Uniform Convergence of Multiple Trigonometric Fourier Series with Spheric Partial Sums. Appendix 2: Conditions for Uniform Convergence of Eigenfunction Expansions of the First, Second, and Third Boundary Problems for the Elliptic Operator of Second Order. Epilogue. Index.