Constructive polynomial approximation on spheres and projective spaces.
نویسندگان
چکیده
منابع مشابه
compactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولPolynomial approximation on spheres - generalizing de la Vallée-Poussin
For trigonometric polynomial approximation on a circle, the de la Vallée Poussin construction has two notable properties as the polynomial degree goes to infinity: it yields uniform convergence for all continuous functions; yet it also exhibits arbitrarily fast convergence for smooth functions. It is allowed to have both properties because it is a uniformly bounded but not positive projection o...
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In [3] Chas and Sullivan defined an intersection product on the homology H∗(LM) of the space of smooth loops in a closed, oriented manifold M . In this paper we will use the homotopy theoretic realization of this product described by the first two authors in [2] to construct a second quadrant spectral sequence of algebras converging to the loop homology multiplicatively, when M is simply connec...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1971
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1971-0288468-1