Hypoelliptic vector fields and continued fractions
نویسندگان
چکیده
منابع مشابه
Periodic Continued Fractions in Elliptic Function Fields
We construct all families of quartic polynomials over Qwhose square root has a periodic continued fraction expansion, and detail those expansions. In particular we prove that, contrary to expectation, the cases of period length nine and eleven do not occur. We conclude by providing a list of examples of pseudo-elliptic integrals involving square roots of polynomials of degree four. The primary ...
متن کاملContinued fractions in local fields, II
Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive o...
متن کاملVector continued fractions using a generalized inverse
A real vector space combined with an inverse (involution) for vectors is sufficient to define a vector continued fraction whose parameters consist of vector shifts and changes of scale. The choice of sign for different components of the vector inverse permits construction of vector analogues of the Jacobi continued fraction. These vector Jacobi fractions are related to vector and scalar-valued ...
متن کاملConvergence Conditions for Vector Stieltjes Continued Fractions
Necessary and sufficient conditions for the convergence of vector S-fractions are obtained, generalizing classical results of Stieltjes. A class of unbounded difference operators of high order possessing a set of spectral measures is described.
متن کاملSome Non-analytic-hypoelliptic Sums of Squares of Vector Fields
Certain second-order partial differential operators, which are expressed as sums of squares of real-analytic vector fields in R3 and which are well known to be C hypoelliptic, fail to be analytic hypoelliptic.
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: Proceedings of the American Mathematical Society
سال: 1972
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1972-0301459-3