## Indiana University Mathematics Journal, Volume 24, Issues 7-12 |

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### Contents

BRUCE LUND Analytic embeddings in logmodular algebras | 1093 |

RENfi RUCHTI Cohomology of forms with values in a graded Lie algebra | 1099 |

ANDREW MAJDA Disappearing solutions for the dissipative wave | 1119 |

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admissible polynomials Amer analytic apply assume Banach space boundary value bounded linear operators bundle C*-algebra catenary characteristic cohomology compact compact operators completes the proof const constant contains converges Corollary defined denote differential equations dimensional domain eigenvalues equivalent estimate exists finitely additive fixed follows given graded Lie algebra Hence Hilbert space homomorphism homotopy implies Index Indiana University Indiana University Mathematics induced inequality integral extension invariant subspaces invertible Lebesgue measure Lemma Lie algebra linear operators manifold Math matrix norm normal obtain orthogonal prime probability measure proof of Theorem Proposition prove quasinilpotent operator regular factorization representation result satisfies saturated chain semigroup sequence spatial homomorphism spectral subset Suppose Theorem Theorem 2.1 theory topology uniformly unique unitary University Mathematics University Mathematics Journal vector York zero