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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
The Hecke system of harmonic Maass functions and applications to modular curves of higher genera
The Ramanujan journal, 2023 D. Jeon, Soon-Yi Kang, Chang Heon Kim
semanticscholar +1 more source
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
core +1 more source
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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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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Ramanujan graphs and Hecke operators [PDF]
Bulletin of the American Mathematical Society, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Spectrum of Hecke Type Operators related to some Fractal Groups
, 1999 We give the first example of a connected 4-regular graph whose Laplace operator's spectrum is a Cantor set, as well as several other computations of spectra following a common ``finite approximation'' method.
Bartholdi, Laurent +1 more
core +1 more source
A table of Hecke operators, II
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1973 reducible factors) for (1 ...
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Slope classicality in higher Coleman theory via highest weight vectors in completed cohomology. [PDF]
Proc Natl Acad Sci U S A, 2022 Howe S.
europepmc +1 more source