2: Divergent Series, Summability And Resurgence Ii: Simple And Multiple Summability (lecture Notes In Mathematics)
by Michèle Loday-Richaud /
2017 / English / PDF
3.5 MB Download
Addressing the question how to “sum” a power series in one variable
when it diverges, that is, how to attach to it analytic functions,
the volume gives answers by presenting and comparing the various
theories of k-summability and multisummability. These theories
apply in particular to all solutions of ordinary differential
equations.
Addressing the question how to “sum” a power series in one variable
when it diverges, that is, how to attach to it analytic functions,
the volume gives answers by presenting and comparing the various
theories of k-summability and multisummability. These theories
apply in particular to all solutions of ordinary differential
equations.
The volume includes applications, examples and revisits, from a
cohomological point of view, the group of tangent-to-identity
germs of diffeomorphisms of
The volume includes applications, examples and revisits, from a
cohomological point of view, the group of tangent-to-identity
germs of diffeomorphisms ofC
C studied in volume 1. With a
view to applying the theories to solutions of differential
equations, a detailed survey of linear ordinary differential
equations is provided, which includes Gevrey asymptotic
expansions, Newton polygons, index theorems and Sibuya’s proof of
the meromorphic classification theorem that characterizes the
Stokes phenomenon for linear differential equations.
studied in volume 1. With a
view to applying the theories to solutions of differential
equations, a detailed survey of linear ordinary differential
equations is provided, which includes Gevrey asymptotic
expansions, Newton polygons, index theorems and Sibuya’s proof of
the meromorphic classification theorem that characterizes the
Stokes phenomenon for linear differential equations.
This volume is the second in a series of three, entitled
This volume is the second in a series of three, entitledDivergent Series, Summability and Resurgence
Divergent Series, Summability and Resurgence. It is aimed
at graduate students and researchers in mathematics and
theoretical physics who are interested in divergent series,
Although closely related to the other two volumes, it can be read
independently.
. It is aimed
at graduate students and researchers in mathematics and
theoretical physics who are interested in divergent series,
Although closely related to the other two volumes, it can be read
independently.
