finite measure sentence in Hindi
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- This is essentially the result of Feldheim, that any stable random vector can be characterized by a spectral measure \ Lambda ( a finite measure on \ mathbb S ) and a shift vector \ delta \ in \ mathbb R ^ d.
- In the following, we assume that ? is a ?-finite measure on a standard Borel " G "-space " X " such that the action of " G " respects the measure class of ?.
- Let ( T, \ mathcal { T }, \ mu ) be a finite measure space and suppose that, for each s \ in S, f ( s; t ) is a bounded and measurable function of t \ in T.
- The generalized Bochner theorem states that a measurable function on \ mathit { G } is equal, almost everywhere, to the Fourier Stieltjes transform of a non-negative finite measure on \ widehat { G } if and only if it is positive definite.
- Indeed, the bounded convergence theorem ( a corollary of the dominated convergence theorem ) of real analysis states that if a sequence of functions on a set of finite measure is uniformly bounded and converges pointwise, then passage of the limit under the integral is valid.
- You can also derive the same result using finite measures only by writing the Lebesgue measure as a limit of finite measures ( e . g . measures supported on larger and larger closed balls ) . talk ) 01 : 32, 28 February 2008 ( UTC)
- You can also derive the same result using finite measures only by writing the Lebesgue measure as a limit of finite measures ( e . g . measures supported on larger and larger closed balls ) . talk ) 01 : 32, 28 February 2008 ( UTC)
- The Poisson point process can be further generalized to what is sometimes known as the "'general Poisson point process "'or "'general Poisson process "'by using a Radon measure \ textstyle \ Lambda, which is locally-finite measure.
- Countably additive vector measures defined on sigma-algebras are more general than finite measures, finite signed measures, and complex measures, which are countably additive functions taking values respectively on the real interval [ 0, \ infty ), the set of real numbers, and the set of complex numbers.
- A measure m is s-finite if and only if there exists a sequence of finite measures ( m _ n ) _ n : m = \ sum _ { n \ in \ mathbb { N } } m _ n, that is : m is the countable sum of finite measures.
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