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This study starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces.
In a Time of Revolution, Even Hearts Can Be Overturned In England together at the Harrow estate, Anne and Nicole find themselves facing divergent futures. While Anne comfortably settles into British life, Nicole once again searches the far horizon. Despite the raging War of Independence, she sets sail for the American colonies to manage her uncle's landholdings. The gallant Captain Goodwind captures Nicole's attention, but not yet her heart. In the midst of revolution, her loyalties and faith are tested beyond what she could have ever imagined. Then she comes face to face with a staggering betrayal, and she is forced to choose her ultimate allegiance.
The shoreline of America means hope for some and tragedy for others.
Since their reunion, Nicole and Anne have formed a bond that goes beyond "sisters" to best friends. Their paths separate again when Nicole's soul-searching consideration of her uncle Charles' desire for an heir brings her to his estate in England. When Anne brings her young son to England, the bittersweet reunion starts both young women on a new journey. Will their mutual love and support be enough to sustain them as the secret of the birthright is uncovered?