boundedness principle造句
例句與造句
- Alternatively, it can be argued using the uniform boundedness principle.
- For infinity, the result is a corollary of the uniform boundedness principle.
- He discovered the Koecher boundedness principle in the theory of Siegel modular forms.
- Hahn's contributions to mathematics include the Hahn Banach theorem and ( independently of Banach and Steinhaus ) the uniform boundedness principle.
- For example, together with the uniform boundedness principle, it can be used to show that the Fourier series of a continuous function may fail to converge pointwise, in rather dramatic fashion.
- It's difficult to find boundedness principle in a sentence. 用boundedness principle造句挺難的
- Perhaps the easiest proof uses the non-boundedness of Dirichlet's kernel in " L " 1 ( "'T "') and the Banach Steinhaus uniform boundedness principle.
- The reader is assumed to have a good background in undergraduate real and complex analysis, point set topology and elementary general functional analysis ( Hahn Banach theorem, uniform boundedness principle, Riesz-Kakutani theorem etc . ).
- Therefore by the uniform boundedness principle, for any x \ in \ mathbb { T }, the set of continuous functions whose Fourier series diverges at " x " is dense in C ( \ mathbb { T } ).
- By a transference result, the \ mathbb { R } ^ n and \ mathbb { T } ^ n problems are equivalent to one another, and as such, by an argument using the uniform boundedness principle, for any particular p \ in ( 1, \ infty ), L ^ p norm convergence follows in both cases for exactly those \ delta where ( 1-| \ xi | ^ 2 ) ^ { \ delta } _ + is the symbol of an L ^ p bounded Fourier multiplier operator.