Displaying similar documents to “The reciprocal of the beta function and G L ( n , ) Whittaker functions”

A remark on Whittaker functions on SL ( n , )

Taku Ishii (2005)

Annales de l’institut Fourier

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We prove the recursive integral formula of class one M -Whittaker functions on SL ( n , ) conjectured and verified in case of n = 3 , 4 by Stade.

Non-similarity of Walsh and trigonometric systems

P. Wojtaszczyk (2000)

Studia Mathematica

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We show that in L p for p ≠ 2 the constants of equivalence between finite initial segments of the Walsh and trigonometric systems have power type growth. We also show that the Riemann ideal norms connected with those systems have power type growth.

On the best constant in the Khinchin-Kahane inequality

Rafał Latała, Krzysztof Oleszkiewicz (1994)

Studia Mathematica

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We prove that if r i is the Rademacher system of functions then ( ʃ i = 1 n x i r i ( t ) 2 d t ) 1 / 2 2 ʃ i = 1 n x i r i ( t ) d t for any sequence of vectors x i in any normed linear space F.