Gap Series and Measures on Spheres |
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A₁ Abel summable Abelian group Banach algebra Bohr set Borel measure bounded E-function bounded multiplicative linear closed normal subgroup compact Abelian group compact group continuous functions convergent d(a_ d²(a defined denote dual group dµ(x E-function E-polynomial F is admissible finite constant finite number follows Fourier function f GAP SERIES Haar measure Hadamard set Hence implies irreducible characters L² G Laplace series LEMMA lên Let F LP norm maximal ideal maximal ideal space multiplicative linear functional n₁ n₂ norm normal subgroup normal subhypergroup orthogonal P₁ P₂ polynomial Proof rotates rotation-invariant Rudin Schwarz inequality sequence Sidon set spherical harmonics subset summable to zero Suppose theorem thesis xe S₂ yields Z_(x α α α α β αε αι απ γε μ α