## Final technical report, Volume 1Dept. of Mathematics, Cornell University, 1956 - Mathematics |

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### Contents

R P Boas Jr Harmonic analysis and entire functions | 13 |

Louis deBranges Local operators on Fourier transforms | 19 |

Albert Edrei Some properties of the matrix a_j | 7 |

3 other sections not shown

### Common terms and phrases

absolutely convergent absolutely convergent Fourier assume Banach algebra Banach space Beurling bounded functions bounded sets closed ideal commutative compact set compact support disjoint complex field complex valued conjecture consider continuous functions continuous on bounded convolution cosets modulo defined denote domain of K(H dual space eigenvalues entire function exists a function exponential type f vanishes follows formula Fourier series Fourier transform func function f function of exponential functions on G given harmonic analysis Hence homomorphism ideal whose hull identically zero implies inequality integral kernel Lemma linear transformations lira Math maximal ideals measure modulo H N(co n=oo neighborhood obtain operator K(H Pollard Polya problem Proof of theorem prove pseudo norms real axis real line representation result satisfying Sreider strict topology strongly regular subspace summable tion totally positive sequence uniformly vanishing wherever