The Coburn-Simonenko theorem for some classes of Wiener-Hopf plus Hankel operators

Victor Didenko; Bernd Silbermann

doi:10.2298/pim1410085d

The Coburn-Simonenko theorem for some classes of Wiener-Hopf plus Hankel operators

Publications de l Institut Mathematique ◽

10.2298/pim1410085d ◽

2014 ◽

Vol 96 (110) ◽

pp. 85-102 ◽

Cited By ~ 2

Author(s):

Victor Didenko ◽

Bernd Silbermann

Keyword(s):

Generating Functions ◽

Hankel Operators ◽

Matching Condition ◽

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

R Functions

Wiener-Hopf plus Hankel operators W(a)+ H(b) : Lp(R+) ? Lp(R+) with generating functions a and b from a subalgebra of L?(R) containing almost periodic functions and Fourier images of L1(R)-functions are studied. For a and b satisfying the so-called matching condition a(t)a(?t) = b(t)b(?t), t ? R, we single out some classes of operators W(a)+ H(b) which are subject to the Coburn-Simonenko theorem.

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(VC)(n)-ALMOST PERIODIC FUNCTIONS

Demonstratio Mathematica ◽

10.1515/dema-1999-0215 ◽

1999 ◽

Vol 32 (2) ◽

Author(s):

Stanislaw Stoinski

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions

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Compact Families of Almost Periodic Functions and an Application of the Schauder Fixed-Point Theorem

SIAM Journal on Applied Mathematics ◽

10.1137/0117117 ◽

1969 ◽

Vol 17 (6) ◽

pp. 1258-1262 ◽

Cited By ~ 8

Author(s):

A. M. Fink

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Point Theorem ◽

Almost Periodic Functions ◽

Schauder Fixed Point Theorem ◽

Almost Periodic ◽

Periodic Functions ◽

Schauder Fixed Point ◽

Schäuder Fixed Point Theorem

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Sampling almost-periodic functions with random probes of finite density

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.1996.0121 ◽

1996 ◽

Vol 452 (1953) ◽

pp. 2263-2277 ◽

Cited By ~ 3

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

Finite Density

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Equivalent almost periodic functions in terms of the new property of almost equality

Quaestiones Mathematicae ◽

10.2989/16073606.2021.2012291 ◽

2022 ◽

pp. 1-14

Author(s):

Juan Matías Sepulcre ◽

Tomás Vidal

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions

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Almost periodic functions

Mathematika ◽

10.1112/s0025579300000760 ◽

1955 ◽

Vol 2 (2) ◽

pp. 128-131 ◽

Cited By ~ 1

Author(s):

J. D. Weston

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions

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Non-archimedian valued almost periodic functions

Indagationes Mathematicae (Proceedings) ◽

10.1016/1385-7258(69)90035-3 ◽

1969 ◽

Vol 72 (4) ◽

pp. 345-353 ◽

Cited By ~ 2

Author(s):

G Rangan

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions

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Almost periodic functions and hyperbolic counting

International Journal of Number Theory ◽

10.1142/s1793042118501439 ◽

2018 ◽

Vol 14 (09) ◽

pp. 2343-2368

Author(s):

Giacomo Cherubini

Keyword(s):

Asymptotic Variance ◽

Limiting Distribution ◽

Almost Periodic Functions ◽

Specific Class ◽

Almost Periodic ◽

Periodic Functions ◽

Circle Problem

We prove the existence of asymptotic moments and an estimate on the tails of the limiting distribution for a specific class of almost periodic functions. Then we introduce the hyperbolic circle problem, proving an estimate on the asymptotic variance of the remainder that improves a result of Chamizo. Applying the results of the first part we prove the existence of limiting distribution and asymptotic moments for three functions that are integrated versions of the remainder, and were considered originally (with due adaptations to our settings) by Wolfe, Phillips and Rudnick, and Hill and Parnovski.

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