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Geology Newsletter- 1976, Department Of Geology Apr 1976

Geology Newsletter- 1976, Department Of Geology

Geological and Environmental Sciences News

Vol. 1, No . 2

  • Dear Department Alumni and Friends
  • Graduate Students
  • Geology Earth Science Club News
  • This N' That


Weak Type Multipliers For Hankel Transforms, William C. Connett, Alan L. Schwartz Feb 1976

Weak Type Multipliers For Hankel Transforms, William C. Connett, Alan L. Schwartz

UMSL Emeritus

The main result of this paper is that weak type multiplier theorems for Jacobi expansions yield weak type multiplier theorems for Hankel transforms.

In recent papers the authors studied multiplier theorems for ultraspherical and Jacobi expansions. An interesting paper of Igari suggested a new approach to multiplier theorems that used asymptotics instead of the elaborate machinery used earlier.

This paper extends the method of Igari to give the first weak type multiplier theorem for Hankel transforms. This extension is important in itself and because this method together with the authors’ results for Jacobi multipliers will generalize to the “radial” functions …


1976-1977 Nova College Bulletin, Nova University Jan 1976

1976-1977 Nova College Bulletin, Nova University

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