Norms of powers of absolutely convergent Fourier series of several variables

Heiberg, Charles Henry

doi:10.1016/0022-1236(73)90052-9

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Introduction1

Let H(t) = ρ((Tδ Tί Y) For All T In R1

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1976

1999

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Cited by 5 publications

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“…For other results concerning norms of powers of absolutely convergent Fourier series of several variables see [4], [6], [8]. 2.…”

Section: Introductionmentioning

confidence: 99%

Norms of powers of absolutely convergent Fourier series: an example

Heiberg¹

1976

Pacific J. Math.

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“…For other results concerning norms of powers of absolutely convergent Fourier series of several variables see [4], [6], [8]. 2.…”

Section: Introductionmentioning

confidence: 99%

Norms of powers of absolutely convergent Fourier series: an example

Heiberg¹

1976

Pacific J. Math.

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“…Since p is g-homogeneous of index 1, p{τ) = rp(σ). Since σ 5 Proof. Applying the definition of g-homogeneity to u and to w yields…”

Section: Let H(t) = ρ((Tδ Tί Y) For All T In Rmentioning

confidence: 99%

“…See [1,2]. For the general case, n arbitrary, sufficient conditions on / and necessary conditions on / have been given [9,6] and related problems have been studied [4,5]. Unsolved, even in the case n = 1, is the problem of determining all functions analytic on B n for which (4) holds.…”

mentioning

confidence: 99%