Results 1 to 10 of about 5,799,484 (73)
Inverse problem for Dirac systems with locally square-summable potentials and rectangular Weyl functions [PDF]
, 2014 Inverse problem for Dirac systems with locally square summable potentials and rectangular Weyl functions is solved. For that purpose we use a new result on the linear similarity between operators from a subclass of triangular integral operators and the ...
Alexander Sakhnovich, Weyl Functions
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About Smarandache-Multiplicative Functions [PDF]
, 1997 The main objective of this note is to introduce the notion of the S-multiplicative function and to give some simple properties concerning it. The name of S-multiplicative is short for Smarandache-multiplicative and reflects the main equation of the ...
Tabirca, Sabin
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Instanton counting in Class $\mathcal{S}_k$ [PDF]
, 2017 We compute the instanton partition functions of $\mathcal{N}=1$ SCFTs in class $\mathcal{S}_k$. We obtain this result via orbifolding Dp/D(p-4) brane systems and calculating the partition function of the supersymmetric gauge theory on the worldvolume of $
Bourton, Thomas, Pomoni, Elli
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Operator-valued zeta functions and Fourier analysis [PDF]
, 2019 The Riemann zeta function $\zeta(s)$ is defined as the infinite sum $\sum_{n=1}^\infty n^{-s}$, which converges when ${\rm Re}\,s>1$. The Riemann hypothesis asserts that the nontrivial zeros of $\zeta(s)$ lie on the line ${\rm Re}\,s= \frac{1}{2}$. Thus,
Bender, Carl M., Brody, Dorje C
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Operator bases, $S$-matrices, and their partition functions [PDF]
, 2017 Relativistic quantum systems that admit scattering experiments are quantitatively described by effective field theories, where $S$-matrix kinematics and symmetry considerations are encoded in the operator spectrum of the EFT. In this paper we use the $S$-
Henning, Brian +3 more
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Knot points of typical continuous functions [PDF]
, 2012 It is well known that most continuous functions are nowhere differentiable. Furthermore, in terms of Dini derivatives, most continuous functions are nondifferentiable in the strongest possible sense except in a small set of points.
Preiss, David, Saito, Shingo
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A trace formula for functions of contractions and analytic operator Lipschitz functions [PDF]
, 2017 In this note we study the problem of evaluating the trace of $f(T)-f(R)$, where $T$ and $R$ are contractions on Hilbert space with trace class difference, i.e., $T-R\in\boldsymbol{S}_1$ and $f$ is a function analytic in the unit disk ${\Bbb D}$.
Malamud, Mark +2 more
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Modular divisor functions and quadratic reciprocity [PDF]
, 2010 It is a well-known result by B. Riemann that the terms of a conditionally convergent series of real numbers can be rearranged in a permutation such that the resulting series converges to any prescribed sum s: add p1 consecutive positive terms until their
Steiner, R.
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Language Functions Used by the Main Character in Sherlock Holmes II: a Game of Shadows Movie [PDF]
, 2014 This research focused on language functions used by the main character in “Sherlock Holmes” movie. The aims were to find the use of language functions and describe the dominant types of language functions used in “Sherlock Holmes” movie.
Arista, S. D. (Sri), Murni, S. M. (Sri)
core
On restrictions of Besov functions
, 2018 In this paper, we study the smoothness of restrictions of Besov functions. It is known that for any $f\in B\_{p,q}^s(\mathbb{R}^N)$ with $q\leq p$ we have $f(\cdot,y)\in B\_{p,q}^s(\mathbb{R}^d)$ for a.e. $y\in \mathbb{R}^{N-d}$. We prove that this is no
Brasseur, Julien
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