Results 31 to 40 of about 5,228,205 (65)

Rational Cuntz states peak on the free disk algebra

Bulletin of the London Mathematical Society, Volume 56, Issue 4, Page 1550-1569, April 2024.
Abstract We apply realization theory of noncommutative (NC) rational multipliers of the Fock space, or free Hardy space of square–summable power series in several noncommuting variables to the convex analysis of states on the Cuntz algebra. We show, in particular, that a large class of Cuntz states that arise as the “NC Clark measures” of isometric NC ...
Robert T. W. Martin, Eli Shamovich
wiley   +1 more source

Some Properties of the Beurling Correlation Function [PDF]

, 2012
We review properties of the Beurling correlation function related to differentiability and functional equations. The relevance of this function is due to the fact that some properties of the Riemann zeta function can be expressed interms of it.Se repasan
Alcántara Bode, Julio
core   +1 more source

Explicit improvements for Lp$\mathrm{L}^p$‐estimates related to elliptic systems

Bulletin of the London Mathematical Society, Volume 56, Issue 3, Page 914-930, March 2024.
Abstract We give a simple argument to obtain Lp$\mathrm{L}^p$‐boundedness for heat semigroups associated to uniformly strongly elliptic systems on Rd$\mathbb {R}^d$ by using Stein interpolation between Gaussian estimates and hypercontractivity. Our results give p$p$ explicitly in terms of ellipticity. It is optimal at the endpoint p=∞$p=\infty$.
Tim Böhnlein, Moritz Egert
wiley   +1 more source

The Loewner–Kufarev energy and foliations by Weil–Petersson quasicircles

Proceedings of the London Mathematical Society, Volume 128, Issue 2, February 2024.
Abstract We study foliations by chord–arc Jordan curves of the twice punctured Riemann sphere C∖{0}$\mathbb {C} \setminus \lbrace 0\rbrace$ using the Loewner–Kufarev equation. We associate to such a foliation a function on the plane that describes the “local winding” along each leaf. Our main theorem is that this function has finite Dirichlet energy if
Fredrik Viklund, Yilin Wang
wiley   +1 more source

The Effect of Variation in the Order of the Beurling Zeta Function in the Strip (0, 1) on the Upper Bound of Nₚ(x)

European Journal of Pure and Applied Mathematics
During the third decade of the last century, Arne Beurling introduced the generalise primes as any increasing positive real sequence starting with a real number greater than 1 called ”Beurling primes”. Where the fundamental theorem of arithmetics gives Beurling integers.
Zhwan Amen, Faez Al-Maamori, Mudhafar Fattah Hama   +2 more
openaire   +1 more source

Similarity of C1: Operators and the Hyperinvariant Subspace Problem

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In the present paper, we first show that the existence of the solutions of the operator equation S∗XT = X is related to the similarity of operators of class C1., and then we give a sufficient condition for the existence of nontrivial hyperinvariant subspaces. These subspaces are the closure of ranφ(T) for some singular inner functions φ.
Abdelkader Segres, Ahmed Bachir, Sid Ahmed Ould Ahmed Mahmoud, G. Muhiuddin   +3 more
wiley   +1 more source

Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]

, 2013
We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri, Avni, Nir, Klopsch, Benjamin, Voll, Christopher   +3 more
core   +1 more source

A Zeta Function for Juggling Sequences [PDF]

, 2012
We give a new generalization of the Riemann zeta function to the set of b-ball juggling sequences. We develop several properties of this zeta function, noting among other things that it is rational in b-s.
Klyve, Dominic, Elsner, Carten, Tou, Erik   +2 more
core  

Oscillation of the Remainder Term in the Prime Number Theorem of Beurling, "Caused by a Given zeta-Zero"

, 2023
Continuing previous studies of the Beurling zeta function, here, we prove two results, generalizing long existing knowledge regarding the classical case of the Riemann zeta function and some of its generalizations.
Révész, Szilárd
core   +1 more source