منابع مشابه
Iterated Shimura Integrals
In this paper I continue the study of iterated integrals of modular forms and noncommutative modular symbols for Γ ⊂ SL(2,Z) started in [Ma3]. Main new results involve a description of the iterated Shimura cohomology and the image of the iterated Shimura cocycle class inside it. The concluding section of the paper contains a concise review of the classical modular symbols for SL(2) and a discus...
متن کاملDouble Integrals and Iterated Integrals
Corresponding material in the book: Section 15.2, 15.3. Note: We are omitting the question types from the book that require three-dimensional visualization, i.e., those that require sketching figures in three dimensions to compute volumes. What students should definitely get: The procedure for computing double integrals over rectangles using iterated integrals, the procedure for computing doubl...
متن کاملIterated Path Integrals
The classical calculus of variation is a critical point theory of certain differentiable functions (or functional) on a smooth or piecewise smooth path space, whose differentiable structure is defined implicitly. Because of the importance of path spaces to analysis, geometry and other fields, it is desirable to develop a geometric integration theory or a de Rham theory for path spaces. Having i...
متن کاملError Distribution for Iterated Integrals
Abstract: In earlier work we demonstrated that iterated numerical integration outperforms ”standard” multivariate integration techniques for various function classes with singularities inside the domain of integration. We focus on the accuracy requirements to be applied in different directions or combinations of directions of iterated integrals. The integrals are approximated numerically in an ...
متن کاملITERATED INTEGRALS OF SUPERCONNECTIONS 0902a
Iterated integration of a connection gives the holonomy or parallel transport of the connection. Iterated integration of a superconnection gives something else which we call a “superconnection parallel transport.” We ask under what conditions are the holonomies of a connection on a graded vector bundle chain maps and under what conditions the superconnection parallel transports give homotopies ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Moscow Mathematical Journal
سال: 2005
ISSN: 1609-3321,1609-4514
DOI: 10.17323/1609-4514-2005-5-4-869-881