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Bochner integral
Generalization of the Lebesgue integral to Banach-space valued functions
In mathematics, the Bochner integral, named for Salomon Bochner, extends the definition of a multidimensional Lebesgue integral to functions that take values in a Banach space, as the limit of integrals of simple functions. The Bochner integral provides the mathematical foundation for extensions of basic integral transforms into more abstract spaces, vector-valued functions, and operator spaces.
En Wikipedia
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In mathematics, the Bochner integral, named for Salomon Bochner, extends the definition of a multidimensional Lebesgue integral to functions that take values in a Banach space, as the limit of integrals of simple functions. The Bochner integral provides the mathematical foundation for extensions of basic integral transforms into more abstract spaces, vector-valued functions, and operator spaces. Examples of such extensions include vector-valued Laplace transforms and abstract Fourier transforms.
Texto: Wikipedia en inglés, CC BY-SA 4.0. ·
Cartas cercanas
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Integral de Lebesgue
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Transformada de Laplace
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Selberg integral
Mathematical function
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Espacio de Banach
Espacio vectorial completo normado
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Integral de línea
Aquella integral cuya función a integrar es evaluada sobre una curva
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Functional integration
Integral of a functional over a space of curves