Multivector functions of a real variable
نویسندگان
چکیده
منابع مشابه
Multivector Functions of a Real Variable ∗
This paper is an introduction to the theory of multivector functions of a real variable. The notions of limit, continuity and derivative for these objects are given. The theory of multivector functions of a real variable, even being similar to the usual theory of vector functions of a real variable, has some subtle issues which make its presentation worhtwhile.We refer in particular to the deri...
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axioms for a space on which we can define integration. Furthermore, the set of such functions is an algebra containing 1 and which separates points, so is dense in C(Ω) by the Stone-Weierstrass theorem. Let us call the space of such functions Cfin(Ω). If we define an integral I on Cfin(Ω) then, by the Stone-Weierstrass theorem it extends to C(Ω) and therefore, by the Riesz representation theore...
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T H E important part played by the real roots of solutions of homogeneous linear differential equations of the second order is well known. When we pass to equations of higher order, it becomes necessary to consider not only the roots of the solutions of the equations, but also the roots of Wronskians* of sets of linearly independent solutions. Unless we are willing to confine ourselves to the c...
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ژورنال
عنوان ژورنال: Advances in Applied Clifford Algebras
سال: 2001
ISSN: 0188-7009,1661-4909
DOI: 10.1007/bf03219148