I. Distributions --;1. Introduction --;2. Spaces of Test Functions --;3. Schwartz Distributions --;4. Calculus for Distributions --;5. Distributions as Derivatives of Functions --;6. Tensor Products --;7. Convolution Products --;8. Applications of Convolution --;9. Holomorphic Functions --;10. Fourier Transformation --;11. Distributions and Analytic Functions --;12. Other Spaces of Generalized Functions --;II. Hilbert Space Operators --;13. Hilbert Spaces: A Brief Historical Introduction --;14. Inner Product Spaces and Hilbert Spaces --;15. Geometry of Hilbert Spaces --;16. Separable Hilbert Spaces. 17. Direct Sums and Tensor Products --;18. Topological Aspects --;19. Linear Operators --;20. Quadratic Forms --;21. Bounded Linear Operators --;22. Special Classes of Bounded Operators --;23. Self-adjoint Hamilton Operators --;24. Elements of Spectral Theory --;25. Spectral Theory of Compact Operators --;26. The Spectral Theorem --;27. Some Applications of the Spectral Representation --;III. Variational Methods --;28. Introduction --;29. Direct Methods in the Calculus of Variations. 30. Differential Calculus on Banach Spaces and Extrema of Functions --;31. Constrained Minimization Problems (Method of Lagrange Multipliers) --;32. Boundary and Eigenvalue Problems --;33. Density Functional Theory of Atoms and Molecules --;IV. Appendix --;A. Completion of Metric Spaces --;B. Metrizable Locally Convex Topological Vector Spaces --;C. The Theorem of Baire --;D. Bilinear Functionals.
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematical physics.
موضوع مستند نشده
Mathematische Physik
موضوع مستند نشده
Physique mathématique.
رده بندی کنگره
شماره رده
QC20
نشانه اثر
.
P455
2003
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )