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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).

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