Zobrazeno 1 - 10 of 33 pro vyhledávání: '"Raouf Doss"'
2
Two generalizations of Titchmarsh’s convolution theorem
Autor: Raouf Doss
Publikováno v: Proceedings of the American Mathematical Society. 108:893-897
Titchmarsh’s convolution theorem states that if the functions f , g f,g vanish on ( − ∞ , 0 ) ( - \infty ,0) and if the convolution f ∗ g ( t ) = 0 f * g(t) = 0 on an interval ( 0 , T ) (0,T) , then there are two numbers α , β ≥ 0 \alpha
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::832eedb3c3e0afe5eb6bf1ff836fceb8
https://doi.org/10.1090/s0002-9939-1990-1004416-8
Zobrazit plný text záznamu
4
An elementary proof of Titchmarsh’s convolution theorem
Autor: Raouf Doss
Publikováno v: Proceedings of the American Mathematical Society. 104:181-184
We give an elementary proof of the following theorem of Titchmarsh. Suppose f , g f,g are integrable on the interval ( 0 , 2 T ) \left ( {0,2T} \right ) and that the convolution f ∗ g ( t ) = ∫ 0 t f ( t − x ) g ( x ) d x = 0 f * g\left ( t \ri
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e3c926cdb63e926898627cdbe5deb602
https://doi.org/10.1090/s0002-9939-1988-0958063-5
Zobrazit plný text záznamu
5
Elementary proof of the Rudin-Carleson and the F. and M. Riesz theorems
Autor: Raouf Doss
Publikováno v: Proceedings of the American Mathematical Society. 82:599-602
A very elementary proof is given of the theorem that on a set of measure zero on T, any continuous function is equal to a continuous function of analytic type. The same elementary method proves that a measure of analytic type is absolutely continuous
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::878f042338e5c448ed139e37c10e6ba7
https://doi.org/10.1090/s0002-9939-1981-0614885-5
Zobrazit plný text záznamu
6
A superposition theorem for unbounded continuous functions
Autor: Raouf Doss
Publikováno v: Transactions of the American Mathematical Society. 233:197-203
Let R n {R^n} be the n-dimensional Euclidean space. We prove that there are 4n real functions φ q {\varphi _q} continuous on R n {R^n} with the following property: Every real function f, not necessarily bounded, continuous on R n {R^n} , can be writ
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7cd627d1fa4aca649608c721b49e1dc9
https://doi.org/10.1090/s0002-9947-1977-0582781-1
Zobrazit plný text záznamu
9
Approximations and representations for Fourier transforms
Autor: Raouf Doss
Publikováno v: Transactions of the American Mathematical Society. 153:211-221
G G is a locally compact abelian group with dual Γ \Gamma . If p ( γ ) = ∑ 1 N a n ( x n , γ ) p(\gamma ) = \sum \nolimits _1^N {{a_n}({x_n},\gamma )} is a trigonometric polynomial, its capacity, by definition is Σ | a n | \Sigma |{a_n}| . The
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::585e96672517c90d19daf111272e9046
https://doi.org/10.1090/s0002-9947-1971-0268597-9
Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání

Omezení vyhledávání
Plný text Recenzováno Digitální knihovna AV ČR
Zdroje