Results 1 to 10 of about 17,993 (185)
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions [PDF]
, 2009 We describe a uniform way of obtaining basic hypergeometric functions as limits of the elliptic beta integral. This description gives rise to the construction of a polytope with a different basic hypergeometric function attached to each face of this ...
Rains, Eric M., van de Bult, Fokko J.
core +5 more sources
Bell's Inequalities for Continuous-Variable Systems in Generic Squeezed States [PDF]
, 2016 Bell's inequality for continuous-variable bipartite systems is studied. The inequality is expressed in terms of pseudo-spin operators and quantum expectation values are calculated for generic two-mode squeezed states characterized by a squeezing ...
Martin, Jerome, Vennin, Vincent
core +4 more sources
An asymptotically Gaussian bound on the Rademacher tails [PDF]
, 2011 An explicit upper bound on the tail probabilities for the normalized Rademacher sums is given. This bound, which is best possible in a certain sense, is asymptotically equivalent to the corresponding tail probability of the standard normal distribution ...
Pinelis, Iosif
core +2 more sources
Riemann sums over polytopes [PDF]
, 2006 We show that the Euler-MacLaurin formula for Riemann sums has an n-dimensional analogue in which intervals on the line get replaced by convex polytopes.Comment: 13 ...
Guillemin, Victor, Sternberg, Shlomo
core +3 more sources
On weighted norm inequalities for the Carleson and Walsh-Carleson operators [PDF]
, 2013 We prove $L^p(w)$ bounds for the Carleson operator ${\mathcal C}$, its lacunary version $\mathcal C_{lac}$, and its analogue for the Walsh series $\W$ in terms of the $A_q$ constants $[w]_{A_q}$ for $1\le q\le p$.
Andrei K. Lerner, Francesco Di, Plinio
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THE INEQUALITIES OF HELDER AND MINKOVSKY AND THEIR GENERALIZATIONS
Фізико-математична освітаFormulation of the Problem. A large amount of mathematical literature is devoted to classical inequalities. Helder's inequalities, a special case of which is the Cauchy-Buniakovsky inequality, as well as Minkowski's, which is a polygon inequality in a ...
Yuriy Bokhonov
doaj +1 more source
Thirty-two Goldbach Variations
, 2005 We give thirty-two diverse proofs of a small mathematical gem--the fundamental Euler sum identity zeta(2,1)=zeta(3) =8zeta(\bar 2,1). We also discuss various generalizations for multiple harmonic (Euler) sums and some of their many connections, thereby ...
Abramowitz M. +30 more
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Moment conditions in strong laws of large numbers for multiple sums and random measures
, 2017 The validity of the strong law of large numbers for multiple sums $S_n$ of independent identically distributed random variables $Z_k$, $k\leq n$, with $r$-dimensional indices is equivalent to the integrability of $|Z|(\log^+|Z|)^{r-1}$, where $Z$ is the ...
Brunk +23 more
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Entanglement entropy for non-coplanar regions in quantum field theory
, 2011 We study the entanglement entropy in a relativistic quantum field theory for regions which are not included in a single spatial hyperplane. This geometric configuration cannot be treated with the Euclidean time method and the replica trick.
Blanco, David D., Casini, Horacio
core +1 more source
, 2013 It is proved a $BMO$-estimation for quadratic partial sums of two-dimensional Fourier series from which it is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier ...
Goginava, U. +2 more
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