Multipliers for Hermite expansions.
Sundaram Thangavelu (1987)
Revista Matemática Iberoamericana
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The aim of this paper is to prove certain multiplier theorems for the Hermite series.
Sundaram Thangavelu (1987)
Revista Matemática Iberoamericana
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The aim of this paper is to prove certain multiplier theorems for the Hermite series.
S. Thangavelu (1993)
Colloquium Mathematicae
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S. Thangavelu (2000)
Colloquium Mathematicae
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We study norm convergence of Bochner-Riesz means associated with certain non-negative differential operators. When the kernel satisfies a weak estimate for large values of m we prove norm convergence of for δ > n|1/p-1/2|, 1 < p < ∞, where n is the dimension of the underlying manifold.
Dikshit, H.P., Fridy, J.A. (1992)
International Journal of Mathematics and Mathematical Sciences
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Luca Brandolini, Leonardo Colzani (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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G.E. Karadzhov (1995)
Mathematische Zeitschrift
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S. Thangavelu (1990)
Colloquium Mathematicae
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Antoni Zygmund
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PREFACE................................... III ERRATA.................................... IV CHAPTER I. Trigonometrical series and Fourier series...... 1 1.1. Definitions. 1.2. Abel’s transformation. 1.3. Orthogonal systems of functions. Fourier series. 1.4. The trigonometrical system. 1.5. Completness of the trigonometrical system. 1.6. Bessel’s inequality. Farseval’s relation. 1.7. Remarks on series and integrals. 1.8. Miscellaneous theorems and examples. CHAPTER II. Fourier coefficients....
B. C. Singhai (1962)
Bollettino dell'Unione Matematica Italiana
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