## Hermite conjugate expansions.(English)Zbl 0175.12701

### Keywords:

integral equations, integral transforms
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### References:

 [1] A. P. Calderon and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85 – 139. · Zbl 0047.10201 [2] Benjamin Muckenhoupt, Poisson integrals for Hermite and Laguerre expansions, Trans. Amer. Math. Soc. 139 (1969), 231 – 242. · Zbl 0175.12602 [3] B. Muckenhoupt and E. M. Stein, Classical expansions and their relation to conjugate harmonic functions, Trans. Amer. Math. Soc. 118 (1965), 17 – 92. · Zbl 0139.29002 [4] E. M. Stein, On limits of seqences of operators, Ann. of Math. (2) 74 (1961), 140 – 170. · Zbl 0103.08903 [5] G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ. Vol. 23, Amer. Math. Soc., Providence, R. I., 1959. · Zbl 0089.27501 [6] A. Zygmund, Trigonometric series: Vols. I, II, Second edition, reprinted with corrections and some additions, Cambridge University Press, London-New York, 1968.
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