Krall, Allan M. Linear methods of applied analysis. (English) Zbl 0271.00002 Reading, Mass. etc.: Addison-Wesley Publishing Company, Advanced Book Program. XIV, 706 p. hbk: $ 16.00; pbk: $ 9.50 (1973). Page: ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 7 Documents MSC: 00A05 Mathematics in general 34-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations 35-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations 47-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory 46Fxx Distributions, generalized functions, distribution spaces 33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) 35A22 Transform methods (e.g., integral transforms) applied to PDEs 35K05 Heat equation 47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations 35D05 Existence of generalized solutions of PDE (MSC2000) 35L05 Wave equation 47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) 34A30 Linear ordinary differential equations and systems 35E05 Fundamental solutions to PDEs and systems of PDEs with constant coefficients 42C15 General harmonic expansions, frames 47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.) 34B05 Linear boundary value problems for ordinary differential equations 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type PDFBibTeX XML