Elements of spectral theory (original) (raw)
2015, Graduate studies in mathematics
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Elements of spectral theory, arising from D. Hilbert's work on Hilbert spaces and integral equations, bridge mathematics and physics, particularly in quantum mechanics. This resource integrates various aspects of spectral theory, offering a manual for readers with a background in linear functional analysis to explore its applications in diverse mathematical contexts, with references to essential literature and contributions from contemporary mathematicians.
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2019
These lecture notes are based on course of Roland from the summer semester 2019. I kept the numbering and the contents of the results presented in the lectures (except for minor corrections and improvements). Typically, the proofs and calculations in the notes are a bit shorter than those given in the lecture. Moreover, the drawings and many additional, mostly oral remarks from the lectures are omitted here. On the other hand, I have added several lengthy proofs not shown in the lectures (mainly about Sobolev spaces). These are indicated in the text. I like to thank Bernhard Konrad and Roland Schnubaulte for his support in preparing the version of these lecture notes from 2010 and Heiko Hoffmann and Martin Meyries for several corrections and comments.
Global Pseudo-Differential Calculus on Euclidean Spaces, 2010
Séminaire de Théorie spectrale et géométrie
1992
© Séminaire de Théorie spectrale et géométrie (Grenoble), 1992-1993, tous droits réservés. L'accès aux archives de la collection «Séminaire de Théorie spectrale et géométrie» implique l'accord avec les conditions générales d'utilisation (http://www. numdam. org/legal. php). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
SPECTRAL THEORY AND ITS APPLICATIONS Book of Abstracts
Existence of a saddle-point in differential game, 2019
It is known that many problems of the economy are brought to the solution of differential games. In this thesis, we consider a differential game involving two players. Let some process be described by the system of differential equations
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