Slowly oscillating functions and a generalization of quasi-monotone coefficients

1969 ◽  
Vol 70 (5) ◽  
Author(s):  
Charles S. Rees
Keyword(s):  
Monotone Coefficients ◽  
Oscillating Functions ◽  
Slowly Oscillating Functions

Vertical Toeplitz Operators on the Upper Half-Plane and Very Slowly Oscillating Functions

2013 ◽  
Vol 77 (2) ◽  
pp. 149-166 ◽  
Author(s):  
Crispin Herrera Yañez ◽  
Egor A. Maximenko ◽  
Nikolai Vasilevski
Keyword(s):  
Half Plane ◽  
Toeplitz Operators ◽  
Upper Half Plane ◽  
Oscillating Functions ◽  
Very Slowly Oscillating Functions ◽  
Slowly Oscillating Functions

scholarly journals Slowly oscillating functions and closed left ideals of βS

2009 ◽  
Vol 156 (4) ◽  
pp. 669-673
Author(s):  
T. Alaste ◽  
M. Filali
Keyword(s):  
Oscillating Functions ◽  
Slowly Oscillating Functions

Fredholm Toeplitz Operators and Slow Oscillation

1980 ◽  
Vol 32 (5) ◽  
pp. 1058-1071 ◽  
Author(s):  
S. C. Power
Keyword(s):  
Toeplitz Operators ◽  
Continuous Functions ◽  
Almost Periodic Functions ◽  
Almost Periodic ◽  
Periodic Functions ◽  
Necessary And Sufficient Criteria ◽  
Symbol Function ◽  
Oscillating Functions ◽  
Necessary And Sufficient ◽  
Slowly Oscillating Functions

The purpose of this paper is to show how Fred hoi m criteria for Toeplitz operators, whose symbols lie in an algebra,A, may often be generalized to cover a larger symbol algebra generated by A and SO, the slowly oscillating functions. Mere A and SO are algebras of continuous functions on the real line, so that we are concerned principally with the effect of a single discontinuity in the symbol function.We shall treat the cases when A is the almost periodic functions, the semi-almost periodic functions and the multiplicatively periodic functions. Sufficient criteria for Fredholmness are obtained in Section 5. The more difficult task of establishing necessary and sufficient criteria is only achieved here for the slowly oscillating almost periodic functions and this is done in Section 6.

scholarly journals Convolutions of slowly oscillating functions

1962 ◽  
Vol 13 (2) ◽  
pp. 225-225 ◽  
Author(s):  
J. P. Tull
Keyword(s):  
Oscillating Functions ◽  
Slowly Oscillating Functions

scholarly journals On an application of slowly oscillating functions

1966 ◽  
Vol 17 (5) ◽  
pp. 969-969
Author(s):  
Manojlo Maravi{ć
Keyword(s):  
Oscillating Functions ◽  
Slowly Oscillating Functions

Slowly Oscillating Functions

1974 ◽  
Vol s2-8 (1) ◽  
pp. 99-108
Author(s):  
G. E. Peterson
Keyword(s):  
Oscillating Functions ◽  
Slowly Oscillating Functions

On an Application of Slowly Oscillating Functions

1966 ◽  
Vol 17 (5) ◽  
pp. 969
Author(s):  
Manojlo Maravic
Keyword(s):  
Oscillating Functions ◽  
Slowly Oscillating Functions
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