## Contents of Volume 109, Number 1

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- On the differential geometry of homogeneous vector bundles
- Phillip A. Griffiths PDF
- Trans. Amer. Math. Soc.
**109**(1963), 1-34

- Stationary equations in continuous time Markov chains
- Rupert G. Miller PDF
- Trans. Amer. Math. Soc.
**109**(1963), 35-44

- Partially bounded $J$-fractions
- Lester G. Riggs and W. T. Scott PDF
- Trans. Amer. Math. Soc.
**109**(1963), 45-55

- Random walks and a sojourn density process of Brownian motion
- F. B. Knight PDF
- Trans. Amer. Math. Soc.
**109**(1963), 56-86

- Differentiable open maps on manifolds
- P. T. Church PDF
- Trans. Amer. Math. Soc.
**109**(1963), 87-100

- On the algebra of representative functions of a Lie algebra
- William B. Giles PDF
- Trans. Amer. Math. Soc.
**109**(1963), 101-120

- The role of the Appell transformation in the theory of heat conduction
- D. V. Widder PDF
- Trans. Amer. Math. Soc.
**109**(1963), 121-134

- Creativity and effective inseparability
- Raymond M. Smullyan PDF
- Trans. Amer. Math. Soc.
**109**(1963), 135-145

- $\varepsilon$-mappings onto polyhedra
- Sibe Mardešić and Jack Segal PDF
- Trans. Amer. Math. Soc.
**109**(1963), 146-164

- Local partial differential algebra
- S. Halfin and A. Robinson PDF
- Trans. Amer. Math. Soc.
**109**(1963), 165-180

- Topological loops with invariant uniformities
- Sigmund Hudson PDF
- Trans. Amer. Math. Soc.
**109**(1963), 181-190