Dieudonné, J. Treatise on analysis. Volume VII. Translated by Laura Fainsilber. (English) Zbl 0672.58044 Pure and Applied Mathematics (New York) 10-VII. Boston, MA etc.: Academic Press, Inc. xiv, 366 p. $ 69.95 (1988). Dies ist die englische Übersetzung des unter Zbl 0402.58011 besprochenen französischen Originals. Reviewer: Josef Wloka (Kiel) Cited in 4 Documents MathOverflow Questions: A text about Schwartz distributions in vector bundles MSC: 58J40 Pseudodifferential and Fourier integral operators on manifolds 58-02 Research exposition (monographs, survey articles) pertaining to global analysis 47-02 Research exposition (monographs, survey articles) pertaining to operator theory 22E10 General properties and structure of complex Lie groups 35B65 Smoothness and regularity of solutions to PDEs 35D30 Weak solutions to PDEs 35D35 Strong solutions to PDEs 35J10 Schrödinger operator, Schrödinger equation 35J48 Higher-order elliptic systems 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.) 45B05 Fredholm integral equations 45D05 Volterra integral equations 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) 46F12 Integral transforms in distribution spaces 47A40 Scattering theory of linear operators 47A53 (Semi-) Fredholm operators; index theories 47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces 58-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis 47-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory Keywords:pseudodifferential operators; Fourier integral operators; linear integral operators; distribution spaces; spectral theory of linear operators Citations:Zbl 0212.46601; Zbl 0272.47028; Zbl 0402.58011 PDFBibTeX XMLCite \textit{J. Dieudonné}, Treatise on analysis. Volume VII. Translated by Laura Fainsilber. Boston, MA etc.: Academic Press, Inc. (1988; Zbl 0672.58044)