Search Results - "dimension formulas"

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  1. 1

    Invariant measures in non-conformal fibered systems with singularities by Mihailescu, Eugen

    ISSN: 0022-1236, 1096-0783
    Published: Elsevier Inc 01.05.2023
    Published 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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    Journal Article
  2. 2

    Counting the dimension of splines of mixed smoothness: A general recipe, and its application to planar meshes of arbitrary topologies by Toshniwal, Deepesh, DiPasquale, Michael

    ISSN: 1019-7168, 1572-9044
    Published: New York Springer US 01.02.2021
    Published 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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    Journal Article
  3. 3

    Level one algebraic cusp forms of classical groups of small rank by Chenevier, Gaëtan, Renard, David

    ISBN: 147041094X, 9781470410940
    ISSN: 0065-9266, 1947-6221
    Published: Providence, Rhode Island American Mathematical Society 2015
    “…We determine the number of level…”
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  4. 4

    A Selberg trace formula for hypercomplex analytic cusp forms by Grob, D., Kraußhar, R.S.

    ISSN: 0022-314X, 1096-1658
    Published: Elsevier Inc 01.03.2015
    Published 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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    Journal Article
  5. 5

    Young walls and graded dimension formulas for finite quiver Hecke algebras of type A2ℓ(2) and Dℓ+1(2) by Oh, Se-jin, Park, Euiyong

    ISSN: 0925-9899, 1572-9192
    Published: Boston Springer US 01.12.2014
    Published 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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    Journal Article
  6. 6

    The Bloch–Okounkov correlation functions of negative levels by Cheng, Shun-Jen, Taylor, David G., Wang, Weiqiang

    ISSN: 0021-8693, 1090-266X
    Published: Elsevier Inc 2008
    Published 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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    Journal Article
  7. 7

    The Bloch–Okounkov Correlation Functions, a Classical Half-integral Case by Taylor, David G.

    ISSN: 0377-9017, 1573-0530
    Published: Dordrecht Springer Netherlands 01.09.2008
    Published 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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    Journal Article
  8. 8

    The dimension formula for certain twisted Jacquet modules of a cuspidal representation of GL(n,Fq) by Balasubramanian, Kumar, Khurana, Himanshi

    ISSN: 0024-3795
    Published: Elsevier Inc 01.04.2025
    Published 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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    Journal Article
  9. 9

    Newspaces with nebentypus: An explicit dimension formula and classification of trivial newspaces by Ross, Erick

    ISSN: 0022-314X
    Published: Elsevier Inc 01.01.2026
    Published 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 dim⁡Sk(Γ0(N),χ)≤B for only finitely many…”
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    Journal Article
  10. 10

    Generalized spline spaces over T-meshes: Dimension formula and locally refined generalized B-splines by Bracco, Cesare, Lyche, Tom, Manni, Carla, Roman, Fabio, Speleers, Hendrik

    ISSN: 0096-3003, 1873-5649
    Published: Elsevier Inc 01.01.2016
    Published 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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    Journal Article
  11. 11

    Applications of quadratic and cubic hypergeometric transformations by Karlsson, Per, Ernst, Thomas

    ISSN: 0365-1029, 2083-7402
    Published: 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. 12

    Dimension sequences of modular forms: Dimension sequences of modular forms by Ross, Erick

    ISSN: 2522-0160, 2363-9555
    Published: Cham Springer International Publishing 01.09.2025
    Published 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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  13. 13

    Affine Deligne–Lusztig varieties and quantum Bruhat graph by Sadhukhan, Arghya

    ISSN: 0025-5874, 1432-1823
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2023
    Published 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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  14. 14

    On the dimensions of certain spaces of vector-valued cusp forms: On the dimensions of certain spaces of vector-valued cusp forms by Nasit, Darshan

    ISSN: 1382-4090, 1572-9303
    Published: New York Springer US 01.11.2025
    Published 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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  15. 15

    Dimension of polynomial splines of mixed smoothness on T-meshes by Toshniwal, Deepesh, Villamizar, Nelly

    ISSN: 0167-8396, 1879-2332
    Published: Elsevier B.V 01.06.2020
    Published 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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    Journal Article
  16. 16

    Polynomial splines of non-uniform degree on triangulations: Combinatorial bounds on the dimension by Toshniwal, Deepesh, Hughes, Thomas J.R.

    ISSN: 0167-8396, 1879-2332
    Published: Elsevier B.V 01.11.2019
    Published 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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  17. 17

    Eigenvalues of K-invariant Toeplitz Operators on Bounded Symmetric Domains by Upmeier, Harald

    ISSN: 0378-620X, 1420-8989
    Published: Cham Springer International Publishing 01.06.2021
    Published 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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  18. 18

    Dimension formulas of the highest weight exceptional Lie algebra-modules by Zhang, Yupei, Luan, Yongzhi

    ISSN: 2473-6988, 2473-6988
    Published: AIMS Press 01.01.2024
    Published 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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  19. 19

    Subdivision and Spline Spaces by Schenck, Hal, Sorokina, Tatyana

    ISSN: 0176-4276, 1432-0940
    Published: New York Springer US 01.04.2018
    Published 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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  20. 20

    Spaces of generalized splines over T-meshes by Bracco, Cesare, Roman, Fabio

    ISSN: 0377-0427, 1879-1778
    Published: Elsevier B.V 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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