TY  - GEN
N2  - "This book presents a survey of the theory of coherent states, wavelets, and some of their generalizations, emphasizing mathematical structures. The point of view is that the theories of wavelets and coherent states can both be subsumed into a single mathematical structure. Starting from the standard theory of coherent states over Lie groups, the authors generalize the formalism by associating coherent states to group representations that are square integrable over a homogeneous space. A further step allows one to dispense with the group context altogether. Within the group context, wavelets are coherent states of the affine group of the real line, and higher-dimensional wavelets are coherent states of other groups.
DO  - 10.1007/978-1-4614-8535-3
DO  - doi
AB  - "This book presents a survey of the theory of coherent states, wavelets, and some of their generalizations, emphasizing mathematical structures. The point of view is that the theories of wavelets and coherent states can both be subsumed into a single mathematical structure. Starting from the standard theory of coherent states over Lie groups, the authors generalize the formalism by associating coherent states to group representations that are square integrable over a homogeneous space. A further step allows one to dispense with the group context altogether. Within the group context, wavelets are coherent states of the affine group of the real line, and higher-dimensional wavelets are coherent states of other groups.
T1  - Coherent states, wavelets and their generalizations
AU  - Ali, S. Twareque
AU  - Antoine, Jean Pierre,
AU  - Gazeau, Jean-Pierre,
ET  - Second edition.
CN  - SpringerLink
CN  - QC6.4.C65
ID  - 695821
KW  - Coherent states.
KW  - Wavelets (Mathematics)
SN  - 9781461485353 
SN  - 1461485355 
TI  - Coherent states, wavelets and their generalizations
LK  - https://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4614-8535-3
UR  - https://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4614-8535-3
ER  -