Griffel, D. H. Applied functional analysis. (English) Zbl 0461.46001 Ellis Horwood Series in Mathematics and its Applications. Chichester: Ellis Horwood Limited, Publishers. New York etc.: Halsted Press: a division of John Wiley & Sons. 386 p. £25.00 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 83 Documents MSC: 46-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis 46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 46F05 Topological linear spaces of test functions, distributions and ultradistributions 46B03 Isomorphic theory (including renorming) of Banach spaces 46B10 Duality and reflexivity in normed linear and Banach spaces 46E15 Banach spaces of continuous, differentiable or analytic functions 46E20 Hilbert spaces of continuous, differentiable or analytic functions 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 46F10 Operations with distributions and generalized functions 46F12 Integral transforms in distribution spaces 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) 47A10 Spectrum, resolvent 47A53 (Semi-) Fredholm operators; index theories 47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces 47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators 47B38 Linear operators on function spaces (general) 47D03 Groups and semigroups of linear operators 47E05 General theory of ordinary differential operators 47F05 General theory of partial differential operators 47Gxx Integral, integro-differential, and pseudodifferential operators 47H10 Fixed-point theorems 47J05 Equations involving nonlinear operators (general) 47J25 Iterative procedures involving nonlinear operators 49R50 Variational methods for eigenvalues of operators (MSC2000) 34A30 Linear ordinary differential equations and systems 34A35 Ordinary differential equations of infinite order 34L99 Ordinary differential operators 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations 34D99 Stability theory for ordinary differential equations 34E99 Asymptotic theory for ordinary differential equations 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35A08 Fundamental solutions to PDEs 35A15 Variational methods applied to PDEs 35A22 Transform methods (e.g., integral transforms) applied to PDEs 35B32 Bifurcations in context of PDEs 35B35 Stability in context of PDEs 35C20 Asymptotic expansions of solutions to PDEs 35E05 Fundamental solutions to PDEs and systems of PDEs with constant coefficients 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35K05 Heat equation 35L05 Wave equation 35J15 Second-order elliptic equations 35J20 Variational methods for second-order elliptic equations 35J30 Higher-order elliptic equations 35J35 Variational methods for higher-order elliptic equations 35P05 General topics in linear spectral theory for PDEs 42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series 42A20 Convergence and absolute convergence of Fourier and trigonometric series 42A65 Completeness of sets of functions in one variable harmonic analysis 42B05 Fourier series and coefficients in several variables 45B05 Fredholm integral equations 45C05 Eigenvalue problems for integral equations 45D05 Volterra integral equations 45G10 Other nonlinear integral equations 70J25 Stability for problems in linear vibration theory 70K20 Stability for nonlinear problems in mechanics 70K30 Nonlinear resonances for nonlinear problems in mechanics 37G99 Local and nonlocal bifurcation theory for dynamical systems 76R99 Diffusion and convection 76U05 General theory of rotating fluids PDFBibTeX XML