Closed operators which commute with convolution

Operators which commute with convolution and their transforms

Part One. Functional Analysis: Abstract spaces Linear transformations Vector-valued functions Banach algebras General properties Analysis in a Banach algebra Laplace integrals and binomial series Part Two. Basic Properties of Semi-Groups: Subadditive functions Semi-modules Addition theorem in a Banach algebra Semi-groups in the strong topology Generator and resolvent Generation of semi-groups Part Three. Advanced Analytical Theory of Semi-Groups: Perturbation theory Adjoint theory Operational calculus Spectral theory Holomorphic semi-groups Applications to ergodic theory Part Four. Special Semi-groups and Applications: Translations and powers Trigonometric semi-groups Semi-groups in $L_p(-\infty,\infty)$ Semi-groups in Hilbert space Miscellaneous applications Part Five. Extensions of the theory: Notes on Banach algebras Lie semi-groups Functions on vectors to vectors Bibliography Index.

Functional Analysis And Semi-Groups

The Basic Theorems of Fourier Analysis. The Structure of Locally Compact Abelian Groups. Idempotent Measures. Homomorphisms of Group Algebras. Measures and Fourier Transforms on Thin Sets. Functions of Fourier Transforms. Closed Ideals in L 1 (G). Fourier Analysis on Ordered Groups. Closed Subalgebras of L 1 (G). Appendices: Topology, Topological Groups, Banach Spaces, Banach Algebras, Measure Theory. Bibliography. List of Special Symbols. Index.

Fourier Analysis on Groups

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Closed operators which commute with convolution

Citations

Operators which commute with convolution and their transforms

References

Functional Analysis And Semi-Groups

Fourier Analysis on Groups

A theorem on Fourier-Stieltjes integrals

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