Search Results - "dimension formulas"
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Invariant measures in non-conformal fibered systems with singularities
ISSN: 0022-1236, 1096-0783Published: Elsevier Inc 01.05.2023Published in Journal of functional analysis (01.05.2023)“…We study a large class of transformations FT which are only piecewise differentiable on countably many pieces and also non-conformal. There exist random…”
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Counting the dimension of splines of mixed smoothness: A general recipe, and its application to planar meshes of arbitrary topologies
ISSN: 1019-7168, 1572-9044Published: New York Springer US 01.02.2021Published in Advances in computational mathematics (01.02.2021)“…In this paper, we study the dimension of bivariate polynomial splines of mixed smoothness on polygonal meshes. Here, “mixed smoothness” refers to the choice of…”
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3
Level one algebraic cusp forms of classical groups of small rank
ISBN: 147041094X, 9781470410940ISSN: 0065-9266, 1947-6221Published: Providence, Rhode Island American Mathematical Society 2015“…We determine the number of level…”
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A Selberg trace formula for hypercomplex analytic cusp forms
ISSN: 0022-314X, 1096-1658Published: Elsevier Inc 01.03.2015Published in Journal of number theory (01.03.2015)“…A breakthrough in developing a theory of hypercomplex analytic modular forms over Clifford algebras has been the proof of the existence of non-trivial cusp…”
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Young walls and graded dimension formulas for finite quiver Hecke algebras of type A2ℓ(2) and Dℓ+1(2)
ISSN: 0925-9899, 1572-9192Published: Boston Springer US 01.12.2014Published in Journal of algebraic combinatorics (01.12.2014)“…We study graded dimension formulas for finite quiver Hecke algebras R Λ 0 ( β ) of type A 2 ℓ ( 2 ) and D ℓ + 1 ( 2 ) using combinatorics of Young walls. We…”
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The Bloch–Okounkov correlation functions of negative levels
ISSN: 0021-8693, 1090-266XPublished: Elsevier Inc 2008Published in Journal of algebra (2008)“…Bloch and Okounkov introduced an n-point correlation function on the fermionic Fock space and found a closed formula in terms of theta functions. This function…”
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The Bloch–Okounkov Correlation Functions, a Classical Half-integral Case
ISSN: 0377-9017, 1573-0530Published: Dordrecht Springer Netherlands 01.09.2008Published in Letters in mathematical physics (01.09.2008)“…Bloch and Okounkov’s correlation function on the infinite wedge space has connections to Gromov-Witten theory, Hilbert schemes, symmetric groups, and certain…”
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8
The dimension formula for certain twisted Jacquet modules of a cuspidal representation of GL(n,Fq)
ISSN: 0024-3795Published: Elsevier Inc 01.04.2025Published in Linear algebra and its applications (01.04.2025)“…Let n≥2 be a positive integer. Let F be the finite field of order q and G=GL(n,F). Let P=MN be the standard parabolic subgroup of G corresponding to the…”
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Newspaces with nebentypus: An explicit dimension formula and classification of trivial newspaces
ISSN: 0022-314XPublished: Elsevier Inc 01.01.2026Published in Journal of number theory (01.01.2026)“…Consider N≥1, k≥2, and χ a Dirichlet character modulo N such that χ(−1)=(−1)k. For any bound B, one can show that dimSk(Γ0(N),χ)≤B for only finitely many…”
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Generalized spline spaces over T-meshes: Dimension formula and locally refined generalized B-splines
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 01.01.2016Published in Applied mathematics and computation (01.01.2016)“…Univariate generalized splines are smooth piecewise functions with sections in certain extended Tchebycheff spaces. They are a natural extension of univariate…”
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Applications of quadratic and cubic hypergeometric transformations
ISSN: 0365-1029, 2083-7402Published: 29.07.2024Published in Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica (29.07.2024)“…The purpose of this paper is to consider five classes of quadratic and cubic hypergeometric transformations in the spirit of Bailey and Whipple. We shall…”
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12
Dimension sequences of modular forms: Dimension sequences of modular forms
ISSN: 2522-0160, 2363-9555Published: Cham Springer International Publishing 01.09.2025Published in Research in number theory (01.09.2025)“…For N ≥ 1 , let S 2 new ( N ) denote the newspace of cuspidal modular forms of weight 2 and level N . In 2004, Greg Martin conjectured that as a sequence in N…”
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Affine Deligne–Lusztig varieties and quantum Bruhat graph
ISSN: 0025-5874, 1432-1823Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2023Published in Mathematische Zeitschrift (01.01.2023)“…In this paper, we consider affine Deligne–Lusztig varieties X w ( b ) and their certain union X ( μ , b ) inside the affine flag variety of a reductive group…”
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On the dimensions of certain spaces of vector-valued cusp forms: On the dimensions of certain spaces of vector-valued cusp forms
ISSN: 1382-4090, 1572-9303Published: New York Springer US 01.11.2025Published in The Ramanujan journal (01.11.2025)“…Given an irreducible representation of SL 2 ( F q ) for an odd prime q , we find the dimension of the space of cusp forms with respect to the full modular…”
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Dimension of polynomial splines of mixed smoothness on T-meshes
ISSN: 0167-8396, 1879-2332Published: Elsevier B.V 01.06.2020Published in Computer aided geometric design (01.06.2020)“…•Study of splines on T-meshes for a special refinement – local smoothness reduction.•Combinatorial dimension formula for splines on T-meshes with mixed…”
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Polynomial splines of non-uniform degree on triangulations: Combinatorial bounds on the dimension
ISSN: 0167-8396, 1879-2332Published: Elsevier B.V 01.11.2019Published in Computer aided geometric design (01.11.2019)“…•We study spaces of bivariate polynomial splines on planar triangulations.•The splines are composed of pieces with different polynomial degrees on different…”
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Eigenvalues of K-invariant Toeplitz Operators on Bounded Symmetric Domains
ISSN: 0378-620X, 1420-8989Published: Cham Springer International Publishing 01.06.2021Published in Integral equations and operator theory (01.06.2021)“…We determine the eigenvalues of certain “fundamental” K -invariant Toeplitz type operators on weighted Bergman spaces over bounded symmetric domains D = G / K…”
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Dimension formulas of the highest weight exceptional Lie algebra-modules
ISSN: 2473-6988, 2473-6988Published: AIMS Press 01.01.2024Published in AIMS mathematics (01.01.2024)“…Given a complex simple exceptional Lie algebra $ \mathfrak g $, let $ \mathscr V_\lambda $ be an irreducible finite-dimensional $ \mathfrak g $-module with…”
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Subdivision and Spline Spaces
ISSN: 0176-4276, 1432-0940Published: New York Springer US 01.04.2018Published in Constructive approximation (01.04.2018)“…A standard construction in approximation theory is mesh refinement. For a simplicial or polyhedral mesh Δ ⊆ R k , we study the subdivision Δ ′ obtained by…”
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Spaces of generalized splines over T-meshes
ISSN: 0377-0427, 1879-1778Published: Elsevier B.V 01.03.2016Published in Journal of computational and applied mathematics (01.03.2016)“…We consider a class of non-polynomial spaces, namely a noteworthy case of Extended Chebyshev spaces, and we generalize the concept of polynomial spline space…”
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