Results 81 to 90 of about 13,441 (193)
Transcendence of Hecke operators in the big Hecke algebra [PDF]
Duke Mathematical Journal, 2014 The paper under review proves an important transcendence theorem for Fourier coefficients of slope zero families of Hilbert modular forms, also known as \textit{Hida families} after the fundamental work of the author on this subject. To state the main results of this paper, let \(F\) be a totally real number field, \(p\) a prime number and \(\mathfrak ...
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Pain Practice, Volume 25, Issue 7, September 2025.ABSTRACT Introduction Discogenic low back pain can be severely disabling, clinically challenging to diagnose, and expensive to treat. Disc degeneration is characterized by disc dehydration, which diminishes the ability of the disc to distribute pressure, making it more susceptible to damage, and leading to annular tears, fissures, and a higher ...
Wouter K. M. van Os +6 more
wiley +1 more source
Raising and Lowering Operators for Askey-Wilson Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2007 In this paper we describe two pairs of raising/lowering operators for Askey-Wilson polynomials, which result from constructions involving very different techniques. The first technique is quite elementary, and depends only on the ''classical'' properties
Siddhartha Sahi
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The biHecke monoid of a finite Coxeter group
, 2009 The usual combinatorial model for the 0-Hecke algebra of the symmetric group is to consider the algebra (or monoid) generated by the bubble sort operators. This construction generalizes to any finite Coxeter group W. The authors previously introduced the
Hivert, Florent +2 more
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Hecke operators on rational functions
, 2003 We define Hecke operators U_m that sift out every m-th Taylor series coefficient of a rational function in one variable, defined over the reals. We prove several structure theorems concerning the eigenfunctions of these Hecke operators, including the ...
Gil, Juan B., Robins, Sinai
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Illinois Journal of Mathematics, 1985 Let M be a complete Riemannian manifold. Suppose the discrete group \(\Gamma\) acts isometrically and properly discontinuously on M with compact quotient \(\bar M=\Gamma \setminus M\). Assume that S is a set of isometries of M satisfying (i) \(S=\Gamma S=S\Gamma\) and (ii) \(\Gamma\) \(\setminus S\) is a finite set. The associated Hecke operator \(T_ S\
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Value distribution for eigenfunctions of desymmetrized quantum maps
, 2001 We study the value distribution and extreme values of eigenfunctions for the ``quantized cat map''. This is the quantization of a hyperbolic linear map of the torus. In a previous paper it was observed that there are quantum symmetries of the quantum map
Kurlberg, Par, Rudnick, Zeev
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Bispectral duality and separation of variables from surface defect transition
Journal of High Energy PhysicsWe study two types of surface observables − the Q-observables and the H-observables − of the 4d N $$ \mathcal{N} $$ = 2 A 1-quiver U(N) gauge theory obtained by coupling a 2d N $$ \mathcal{N} $$ = (2, 2) gauged linear sigma model. We demonstrate that the
Saebyeok Jeong, Norton Lee
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Hecke operators on de Rham cohomology.
Revista Matemática Complutense, 2004 The author introduces the notion of Hecke operators on de Rham cohomology of a compact oriented manifolds. Such an operator is determined by a pair of covering maps of the given manifold. When the manifolds are regarded as quotients of their universal covering space by discrete subgroup of its group of diffeomorphisms, the properties of these operators
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