Información del autor
Autor Ansemil, José María M. |
Documentos disponibles escritos por este autor (33)
Añadir el resultado a su cesta Hacer una sugerencia Refinar búsqueda
texto impreso
Here we show how, in the general context of locally convex spaces, it is possible to get an n-tensor topology (on spaces of n-tensor products) from an n-tensor topology on spaces of symmetric n-tensors products. Indeed, given an n-tensor topolog[...]texto impreso
Let H(U) be the space of holomorphic functions on an open subset U of a complex locally convex space E, and let H(K) be the space of holomorphic germs on a compact subset K of E. (For background on holomorphic functions on locally convex spaces [...]texto impreso
The authors are concerned with the characterization of those functions holomorphic on EC? which are Fourier transforms of elements of ?? (E). Here E is a complete bornological vector space over R, ? (E) stands for the space of all complex-valued[...]texto impreso
Ansemil, José María M. ; Ponte, Socorro ; López-Salazar Codes, Jerónimo | European Mathematical Society | 2015This paper is devoted to studying the space A(U) of all analytic functions on an open subset U of ?? or ??. It is proved that if U satisfies a weak condition (that will be called the 0-property), then every f ? A(U) depends only on afinite numbe[...]texto impreso
An explicit representation of the n-fold symmetric tensor product (equipped with a natural topology tau such as the projective, injective or inductive one) of the finite direct sum of locally convex spaces is presented. The formula for circle ti[...]texto impreso
By a classical theorem, there is an isomorphism between the space of entire functions of exponential type on Cn,ExpCn, and the analytic functions on H(Cn),H?(Cn) [see, for example, F. Trèves, Topological vector spaces, distributions, and kernels[...]texto impreso
Let H(U) be the space of holomorphic functions on an open subset U of a locally convex space. The authors study various topologies canonically associated with the topology of compact convergence on H(U), especially the bornological topology and [...]texto impreso
Sean, U un abierto equilibrado de un espacio localmente convexo complejo E, H(U) el espacio vectorial de las funciones holomorfas en U y to y tw las topologías compacto-abierta y portada de Nachbin respectivamente en H(U). Se prueba en esta nota[...]