منابع مشابه
Regularity Theory in Colombeau Algebras
AMS Mathematics Subject Classification (2000): 35D05, 35L60, 46F30
متن کاملA geometric approach to full Colombeau algebras
We present a geometric approach to diffeomorphism invariant full Colombeau algebras which allows a particularly clear view on the construction of the intrinsically defined algebra Ĝ(M) on the manifold M given in [8]. MSC 2000: Primary: 46T30; secondary: 46F30.
متن کاملUnifying Order Structures for Colombeau Algebras
We define a general notion of set of indices which, using concepts from pre-ordered sets theory, permits to unify the presentation of several Colombeau-type algebras of nonlinear generalized functions. In every set of indices it is possible to generalize Landau’s notion of big-O such that its usual properties continue to hold. Using this generalized notion of big-O, these algebras can be formal...
متن کاملDiffeomorphism invariant Colombeau algebras. Part II: Classification
This contribution presents a comprehensive analysis of Colombeau (-type) algebras in the range between the diffeomorphism invariant algebra G = E M / N d introduced in Part I (see [Gro01]) and Colombeau’s original algebra G introduced in [Col85]. Along the way, it provides several classification results (again see [Gro01]) which are indispensable for obtaining an intrinsic description of a (ful...
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 1991
ISSN: 0019-3577
DOI: 10.1016/0019-3577(91)90022-y