On the absolute integrability of Fourier transforms
Einar Hille, J. Tamarkin (1935)
Fundamenta Mathematicae
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Einar Hille, J. Tamarkin (1935)
Fundamenta Mathematicae
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R. Boas (1953)
Studia Mathematica
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Gervais, Robert, Rubel, Lee A. (1981)
International Journal of Mathematics and Mathematical Sciences
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Henry Blumberg (1930)
Fundamenta Mathematicae
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Stanisław Saks, Antoni Zygmund
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CONTENTS PREFACE................................... III PREFACE TO THE ENGLISH EDITION................................... VII INTRODUCTION. THEORY OF SETS § 1. Fundamental definitions................................... 1 § 2. Denumerable sets................................... 3 § 3. Abstract topological space................................... 4 § 4. Closed and open sets................................... 6 § 5. Connected sets................................... 11 § 6. Compact sets......................................
J. Mikusiński (1962)
Studia Mathematica
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Akira Kaneko (2000)
Annales Polonici Mathematici
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We discuss existence of global solutions of moderate growth to a linear partial differential equation with constant coefficients whose total symbol P(ξ) has the origin as its only real zero. It is well known that for such equations, global solutions tempered in the sense of Schwartz reduce to polynomials. This is a generalization of the classical Liouville theorem in the theory of functions. In our former work we showed that for infra-exponential growth the corresponding assertion is...
Arguedas, Vernor, Estrada, Ricardo (1996)
International Journal of Mathematics and Mathematical Sciences
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Hiroshi Haruki (1975)
Colloquium Mathematicae
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Henry Blumberg (1939)
Fundamenta Mathematicae
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