# Orthonormal bases for spaces of continuous and continuously differentiable functions defined on a subset of Zp.

Revista Matemática de la Universidad Complutense de Madrid (1996)

- Volume: 9, Issue: 2, page 295-307
- ISSN: 1139-1138

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topVerdoodt, Ann. "Orthonormal bases for spaces of continuous and continuously differentiable functions defined on a subset of Zp.." Revista Matemática de la Universidad Complutense de Madrid 9.2 (1996): 295-307. <http://eudml.org/doc/44227>.

@article{Verdoodt1996,

abstract = {Let K be a non-Archimedean valued field which contains Qp, and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set \{aqn | n = 0,1,2,...\} where a and q are two units of Zp, q not a root of unity. C(Vq --> K) (resp. C1(Vq --> K)) is the Banach space of continuous functions (resp. continuously differentiable functions) from Vq to K. Our aim is to find orthonormal bases for C(Vq --> K) and C1(Vq --> K).},

author = {Verdoodt, Ann},

journal = {Revista Matemática de la Universidad Complutense de Madrid},

keywords = {Bases ortonormales; Algebra de Banach no arquimediana; Enteros p-ádicos; Espacios de funciones diferenciables; Análisis funcional; Funciones continuas; -adic numbers; -function; non-Archimedean valued complete field; Mahler and van der Put bases; orthogonal bases},

language = {eng},

number = {2},

pages = {295-307},

title = {Orthonormal bases for spaces of continuous and continuously differentiable functions defined on a subset of Zp.},

url = {http://eudml.org/doc/44227},

volume = {9},

year = {1996},

}

TY - JOUR

AU - Verdoodt, Ann

TI - Orthonormal bases for spaces of continuous and continuously differentiable functions defined on a subset of Zp.

JO - Revista Matemática de la Universidad Complutense de Madrid

PY - 1996

VL - 9

IS - 2

SP - 295

EP - 307

AB - Let K be a non-Archimedean valued field which contains Qp, and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set {aqn | n = 0,1,2,...} where a and q are two units of Zp, q not a root of unity. C(Vq --> K) (resp. C1(Vq --> K)) is the Banach space of continuous functions (resp. continuously differentiable functions) from Vq to K. Our aim is to find orthonormal bases for C(Vq --> K) and C1(Vq --> K).

LA - eng

KW - Bases ortonormales; Algebra de Banach no arquimediana; Enteros p-ádicos; Espacios de funciones diferenciables; Análisis funcional; Funciones continuas; -adic numbers; -function; non-Archimedean valued complete field; Mahler and van der Put bases; orthogonal bases

UR - http://eudml.org/doc/44227

ER -

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